{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,5,15]],"date-time":"2026-05-15T23:33:53Z","timestamp":1778888033813,"version":"3.51.4"},"reference-count":65,"publisher":"Springer Science and Business Media LLC","issue":"4","license":[{"start":{"date-parts":[[2019,10,4]],"date-time":"2019-10-04T00:00:00Z","timestamp":1570147200000},"content-version":"tdm","delay-in-days":0,"URL":"http:\/\/www.springer.com\/tdm"},{"start":{"date-parts":[[2019,10,4]],"date-time":"2019-10-04T00:00:00Z","timestamp":1570147200000},"content-version":"vor","delay-in-days":0,"URL":"http:\/\/www.springer.com\/tdm"}],"funder":[{"name":"Jiangsu Province Natural Science Foundation of China","award":["BK20181351"],"award-info":[{"award-number":["BK20181351"]}]},{"DOI":"10.13039\/501100001809","name":"National Natural Science Foundation of China","doi-asserted-by":"publisher","award":["11301527"],"award-info":[{"award-number":["11301527"]}],"id":[{"id":"10.13039\/501100001809","id-type":"DOI","asserted-by":"publisher"}]},{"DOI":"10.13039\/501100012226","name":"Fundamental Research Fund for the Central Universities","doi-asserted-by":"crossref","award":["2019QNA35"],"award-info":[{"award-number":["2019QNA35"]}],"id":[{"id":"10.13039\/501100012226","id-type":"DOI","asserted-by":"crossref"}]},{"name":"General Financial Grant from the China Postdoctoral Science Foundation","award":["2015M570498"],"award-info":[{"award-number":["2015M570498"]}]},{"name":"General Financial Grant from the China Postdoctoral Science Foundation","award":["2017T100413"],"award-info":[{"award-number":["2017T100413"]}]},{"name":"Postgraduate Research & Practice Innovation Program of Jiangsu Province","award":["KYCX19_2184"],"award-info":[{"award-number":["KYCX19_2184"]}]},{"name":"Postgraduate Research & Practice Innovation Program of China University of Mining and Technology","award":["KYCX19_2184"],"award-info":[{"award-number":["KYCX19_2184"]}]}],"content-domain":{"domain":["link.springer.com"],"crossmark-restriction":false},"short-container-title":["Comp. Appl. Math."],"published-print":{"date-parts":[[2019,12]]},"DOI":"10.1007\/s40314-019-0938-x","type":"journal-article","created":{"date-parts":[[2019,10,4]],"date-time":"2019-10-04T09:04:59Z","timestamp":1570179899000},"update-policy":"https:\/\/doi.org\/10.1007\/springer_crossmark_policy","source":"Crossref","is-referenced-by-count":13,"title":["General lump solutions, lumpoff solutions, and rogue wave solutions with predictability for the (2+1)-dimensional Korteweg-de Vries equation"],"prefix":"10.1007","volume":"38","author":[{"given":"Hui","family":"Wang","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Shou-Fu","family":"Tian","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Tian-Tian","family":"Zhang","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Yi","family":"Chen","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Yong","family":"Fang","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"297","published-online":{"date-parts":[[2019,10,4]]},"reference":[{"key":"938_CR1","doi-asserted-by":"publisher","DOI":"10.1017\/CBO9780511623998","volume-title":"Solitons, nonlinear evolution equations and inverse scattering","author":"MJ Ablowitz","year":"1991","unstructured":"Ablowitz MJ, Clarkson PA (1991) Solitons, nonlinear evolution equations and inverse scattering. Cambridge University Press, Cambridge"},{"key":"938_CR2","doi-asserted-by":"publisher","DOI":"10.1007\/978-1-4757-4307-4","volume-title":"Symmetries and differential equations","author":"GW Bluman","year":"1989","unstructured":"Bluman GW, Kumei S (1989) Symmetries and differential equations. Springer, New York"},{"issue":"3","key":"938_CR3","doi-asserted-by":"publisher","first-page":"271","DOI":"10.1088\/0266-5611\/2\/3\/005","volume":"2","author":"M Boiti","year":"1986","unstructured":"Boiti M, Leon JP, Manna M, Pempinelli F (1986) On the spectral transform of a Korteweg-de Vries equation in two spatial dimensions. Inverse Probl 2(3):271\u2013279","journal-title":"Inverse Probl"},{"key":"938_CR4","doi-asserted-by":"publisher","first-page":"513","DOI":"10.1007\/s40314-015-0239-y","volume":"36","author":"K Christou","year":"2017","unstructured":"Christou K, Christou MA (2017) 2D solitons in Boussinesq equation with dissipation. Comput Appl Math 36:513\u2013523","journal-title":"Comput Appl Math"},{"issue":"3","key":"938_CR5","doi-asserted-by":"publisher","first-page":"3208","DOI":"10.1007\/s40314-017-0508-z","volume":"37","author":"A Das","year":"2018","unstructured":"Das A (2018) Explicit Weierstrass traveling wave solutions and bifurcation analysis for dissipative Zakharov-Kuznetsov modified equal width equation. Comput Appl Math 37(3):3208\u20133225","journal-title":"Comput Appl Math"},{"key":"938_CR6","doi-asserted-by":"publisher","unstructured":"Dong MJ, Tian SF, Wang XB, Zhang TT (2018) Lump-type solutions and interaction solutions in the (3+1)-dimensional potential Yu-Toda-Sasa-Fukuyama equation. Math Phys Anal. \n                    https:\/\/doi.org\/10.1007\/s13324-018-0258-0","DOI":"10.1007\/s13324-018-0258-0"},{"issue":"3","key":"938_CR7","doi-asserted-by":"publisher","first-page":"957","DOI":"10.1016\/j.camwa.2017.10.037","volume":"75","author":"MJ Dong","year":"2018","unstructured":"Dong MJ, Tian SF, Yan XW, Zou L (2018) Solitary waves, homoclinic breather waves and rogue waves of the (3+1)-dimensional Hirota bilinear equation. Comput Math Appl 75(3):957\u2013964","journal-title":"Comput Math Appl"},{"issue":"1","key":"938_CR8","doi-asserted-by":"publisher","first-page":"273","DOI":"10.1007\/s11071-018-4563-9","volume":"95","author":"MJ Dong","year":"2018","unstructured":"Dong MJ, Tian SF, Yan XW, Zhang TT (2018) Nonlocal symmetries, conservation laws and interaction solutions for the classical Boussinesq-Burgers equation. Nonlinear Dyn 95(1):273\u2013291","journal-title":"Nonlinear Dyn"},{"issue":"12","key":"938_CR9","doi-asserted-by":"publisher","first-page":"2848","DOI":"10.1063\/1.527260","volume":"27","author":"B Dorizzi","year":"1986","unstructured":"Dorizzi B, Grammaticos B, Ramani A, Winternitz P (1986) Are all the equations of the Kadomtsev-Petviashvili hierarchy integrable? J Math Phys 27(12):2848\u20132852","journal-title":"J Math Phys"},{"key":"938_CR10","doi-asserted-by":"publisher","first-page":"133","DOI":"10.1016\/j.aml.2017.11.011","volume":"78","author":"LL Feng","year":"2018","unstructured":"Feng LL, Zhang TT (2018) Breather wave, rogue wave and solitary wave solutions of a coupled nonlinear Schr\u00f6dinger equation. Appl Math Lett 78:133\u2013140","journal-title":"Appl Math Lett"},{"key":"938_CR11","doi-asserted-by":"publisher","DOI":"10.1007\/BFb0113694","volume-title":"Introduction to the Hirota bilinear method","author":"J Hietarinta","year":"1997","unstructured":"Hietarinta J (1997) Introduction to the Hirota bilinear method. Springer, Berlin"},{"issue":"18","key":"938_CR12","doi-asserted-by":"publisher","first-page":"1192","DOI":"10.1103\/PhysRevLett.27.1192","volume":"27","author":"R Hirota","year":"1971","unstructured":"Hirota R (1971) Exact solution of the Korteweg-de Vries equation for multiple collisions of solitons. Phys Rev Lett 27(18):1192","journal-title":"Phys Rev Lett"},{"key":"938_CR13","doi-asserted-by":"publisher","DOI":"10.1017\/CBO9780511543043","volume-title":"The direct method in soliton theory","author":"R Hirota","year":"2004","unstructured":"Hirota R (2004) The direct method in soliton theory. Cambridge University Press, Cambridge"},{"key":"938_CR14","unstructured":"Jia M, Lou SY (2018) Lump, Lumpoff and Predictable Instanon\/Rogue wave Solutions to KP equation. preprint, \n                    arXiv:1803.01730v1\n                    \n                   [nlin.SI]"},{"issue":"6","key":"938_CR15","doi-asserted-by":"publisher","first-page":"1176","DOI":"10.1063\/1.525042","volume":"22","author":"DJ Kaup","year":"1981","unstructured":"Kaup DJ (1981) The lump solutions and the b\u00e4cklund transformation for the three-dimensional three-wave resonant interaction. J Math Phys 22(6):1176\u20131181","journal-title":"J Math Phys"},{"issue":"1\u20132","key":"938_CR16","doi-asserted-by":"publisher","first-page":"355","DOI":"10.1007\/s11071-015-2332-6","volume":"83","author":"J Liu","year":"2016","unstructured":"Liu J, Mu G, Dai ZD, Luo HY (2016) Spatiotemporal deformation of multi-soliton to (2+1)-dimensional KdV equation. Nonlinear Dyn 83(1\u20132):355\u2013360","journal-title":"Nonlinear Dyn"},{"issue":"12","key":"938_CR17","doi-asserted-by":"publisher","first-page":"6401","DOI":"10.1063\/1.532219","volume":"38","author":"SY Lou","year":"1997","unstructured":"Lou SY, Hu XB (1997) Infinitely many Lax pairs and symmetry constraints of the KP equation. J Math Phys 38(12):6401\u20136427","journal-title":"J Math Phys"},{"issue":"2","key":"938_CR18","doi-asserted-by":"publisher","first-page":"1217","DOI":"10.1007\/s11071-016-2755-8","volume":"85","author":"X L\u00fc","year":"2016","unstructured":"L\u00fc X, Ma WX (2016) Study of lump dynamics based on a dimensionally reduced Hirota bilinear equation. Nonlinear Dyn 85(2):1217\u20131222","journal-title":"Nonlinear Dyn"},{"issue":"36","key":"938_CR19","doi-asserted-by":"publisher","first-page":"1975","DOI":"10.1016\/j.physleta.2015.06.061","volume":"379","author":"WX Ma","year":"2015","unstructured":"Ma WX (2015) Lump solutions to the Kadomtsev-Petviashvili equation. Phys Lett A 379(36):1975\u20131978","journal-title":"Phys Lett A"},{"issue":"4","key":"938_CR20","doi-asserted-by":"publisher","first-page":"2633","DOI":"10.1016\/j.jde.2017.10.033","volume":"264","author":"WX Ma","year":"2018","unstructured":"Ma WX, Zhou Y (2018) Lump solutions to nonlinear partial differential equations via Hirota bilinear forms. J Differ Equ 264(4):2633\u20132659","journal-title":"J Differ Equ"},{"key":"938_CR21","doi-asserted-by":"publisher","first-page":"1640018","DOI":"10.1142\/S021797921640018X","volume":"30","author":"WX Ma","year":"2016","unstructured":"Ma WX, Zhou Y, Dougherty R (2016) Lump-type solutions to nonlinear differential equations derived from generalized bilinear equations. Int J Mod Phys B 30:1640018","journal-title":"Int J Mod Phys B"},{"issue":"2","key":"938_CR22","doi-asserted-by":"publisher","first-page":"923","DOI":"10.1007\/s11071-015-2539-6","volume":"84","author":"WX Ma","year":"2016","unstructured":"Ma WX, Qin ZY, L\u00fc X (2016) Lump solutions to dimensionally reduced p-gKP and p-gBKP equations. Nonlinear Dyn 84(2):923\u2013931","journal-title":"Nonlinear Dyn"},{"key":"938_CR23","doi-asserted-by":"publisher","DOI":"10.1007\/978-3-662-00922-2","volume-title":"Darboux transformations and solitons","author":"VB Matveev","year":"1991","unstructured":"Matveev VB, Salle MA (1991) Darboux transformations and solitons. Springer, Berlin"},{"issue":"1","key":"938_CR24","doi-asserted-by":"publisher","first-page":"26","DOI":"10.1515\/phys-2015-0056","volume":"14","author":"MS Osman","year":"2016","unstructured":"Osman MS (2016) Multi-soliton rational solutions for some nonlinear evolution equations. Open Phys 14(1):26\u201336","journal-title":"Open Phys"},{"issue":"3","key":"938_CR25","doi-asserted-by":"publisher","first-page":"2283","DOI":"10.1007\/s11071-017-3586-y","volume":"89","author":"MS Osman","year":"2017","unstructured":"Osman MS (2017) Analytical study of rational and double-soliton rational solutions governed by the KdV-Sawada-Kotera-Ramani equation with variable coefficients. Nonlinear Dyn 89(3):2283\u20132289","journal-title":"Nonlinear Dyn"},{"issue":"2","key":"938_CR26","doi-asserted-by":"publisher","first-page":"733","DOI":"10.1007\/s11071-018-4222-1","volume":"93","author":"MS Osman","year":"2018","unstructured":"Osman MS, Machado JAT (2018) New nonautonomous combined multi-wave solutions for (2+1)-dimensional variable coefficients KdV equation. Nonlinear Dyn 93(2):733\u2013740","journal-title":"Nonlinear Dyn"},{"issue":"11","key":"938_CR27","doi-asserted-by":"publisher","first-page":"1457","DOI":"10.1080\/09205071.2018.1445039","volume":"32","author":"MS Osman","year":"2018","unstructured":"Osman MS, Machado JAT (2018) The dynamical behavior of mixed-type soliton solutions described by (2+1)-dimensional Bogoyavlensky-Konopelchenko equation with variable coefficients. J Electromagn Waves Appl 32(11):1457\u20131464","journal-title":"J Electromagn Waves Appl"},{"key":"938_CR28","first-page":"282","volume":"321","author":"MS Osman","year":"2018","unstructured":"Osman MS, Wazwaz AM (2018) An efficient algorithm to construct multi-soliton rational solutions of the (2+1)-dimensional KdV equation with variable coefficients. Appl Math Comput 321:282\u2013289","journal-title":"Appl Math Comput"},{"issue":"5","key":"938_CR29","doi-asserted-by":"publisher","first-page":"50005","DOI":"10.1209\/0295-5075\/123\/50005","volume":"123","author":"WQ Peng","year":"2018","unstructured":"Peng WQ, Tian SF, Zhang TT (2018) Dynamics of breather waves and higher-order rogue waves in a coupled nonlinear Schr\u00f6dinger equation. EPL (Europhys. Lett.) 123(5):50005","journal-title":"EPL (Europhys. Lett.)"},{"issue":"4","key":"938_CR30","doi-asserted-by":"publisher","first-page":"1841","DOI":"10.1007\/s11071-018-4292-0","volume":"93","author":"WQ Peng","year":"2018","unstructured":"Peng WQ, Tian SF, Zou L, Zhang TT (2018) Characteristics of the solitary waves and lump waves with interaction phenomena in a (2+1)-dimensional generalized Caudrey-Dodd-Gibbon-Kotera-Sawada equation. Nonlinear Dyn 93(4):1841\u20131851","journal-title":"Nonlinear Dyn"},{"issue":"38","key":"938_CR31","doi-asserted-by":"publisher","first-page":"2701","DOI":"10.1016\/j.physleta.2018.08.002","volume":"382","author":"WQ Peng","year":"2018","unstructured":"Peng WQ, Tian SF, Zhang TT (2018) Analysis on lump, lumpoff and rogue waves with predictability to the(2+1)-dimensional B-type Kadomtsev-Petviashvili equation. Phys Lett A 382(38):2701\u20132708","journal-title":"Phys Lett A"},{"issue":"12","key":"938_CR32","doi-asserted-by":"publisher","first-page":"4221","DOI":"10.1016\/j.camwa.2018.03.024","volume":"75","author":"CY Qin","year":"2018","unstructured":"Qin CY, Tian SF, Zhang TT (2018) Rogue waves, bright-dark solitons and traveling wave solutions of the (3+1)-dimensional generalized Kadomtsev-Petviashvili equation. Comput Math Appl 75(12):4221\u20134231","journal-title":"Comput Math Appl"},{"issue":"6","key":"938_CR33","first-page":"1727","volume":"8","author":"CY Qin","year":"2018","unstructured":"Qin CY, Tian SF, Zou L, Zhang TT (2018) Lie symmetry analysis, conservation laws and exact solutions of fourth-order time fractional Burgers equation. J Appl Anal Comput 8(6):1727\u20131746","journal-title":"J Appl Anal Comput"},{"issue":"4","key":"938_CR34","doi-asserted-by":"publisher","first-page":"948","DOI":"10.4208\/aamm.OA-2017-0220","volume":"10","author":"CY Qin","year":"2018","unstructured":"Qin CY, Tian SF, Zou L, Ma WX (2018) Solitary wave and quasi-periodic wave solutions to a (3+1)-dimensional generalized Calogero-Bogoyavlenskii-Schiff equation. Adv Appl Math Mech 10(4):948\u2013977","journal-title":"Adv Appl Math Mech"},{"key":"938_CR35","doi-asserted-by":"publisher","first-page":"843","DOI":"10.1143\/JPSJ.59.843","volume":"59","author":"KM Tamizhmani","year":"1990","unstructured":"Tamizhmani KM, Punithavathi P (1990) The infinite-dimensional lie algebraic structure and the symmetry reduction of a nonlinear higher-dimensional equation. J Phys Soc Jpn 59:843\u2013847","journal-title":"J Phys Soc Jpn"},{"key":"938_CR36","doi-asserted-by":"publisher","first-page":"506","DOI":"10.1016\/j.jde.2016.09.033","volume":"262","author":"SF Tian","year":"2017","unstructured":"Tian SF (2017) Initial-boundary value problems for the general coupled nonlinear Schr\u00f6dinger equationson the interval via the Fokas method. J Differ Equ 262:506\u2013558","journal-title":"J Differ Equ"},{"issue":"3","key":"938_CR37","doi-asserted-by":"publisher","first-page":"923","DOI":"10.3934\/cpaa.2018046","volume":"17","author":"SF Tian","year":"2018","unstructured":"Tian SF (2018) Initial-boundary value problems for the coupled modified Korteweg-de Vries equation on the interval. Commun Pure Appl Anal 17(3):923\u2013957","journal-title":"Commun Pure Appl Anal"},{"key":"938_CR38","doi-asserted-by":"publisher","first-page":"65","DOI":"10.1016\/j.aml.2018.03.019","volume":"83","author":"SF Tian","year":"2018","unstructured":"Tian SF (2018) Asymptotic behavior of a weakly dissipative modified two-component Dullin-Gottwald-Holm system. Appl Math Lett 83:65\u201372","journal-title":"Appl Math Lett"},{"key":"938_CR39","doi-asserted-by":"publisher","first-page":"1","DOI":"10.1016\/j.aml.2018.09.010","volume":"89","author":"SF Tian","year":"2019","unstructured":"Tian SF (2019) Infinite propagation speed of a weakly dissipative modified two-component Dullin-Gottwald-Holm system. Appl Math Lett 89:1\u20137","journal-title":"Appl Math Lett"},{"key":"938_CR40","doi-asserted-by":"publisher","first-page":"585","DOI":"10.1016\/j.jmaa.2010.05.070","volume":"371","author":"SF Tian","year":"2010","unstructured":"Tian SF, Zhang HQ (2010) Riemann theta functions periodic wave solutions and rational characteristics for the nonlinear equations. J Math Anal Appl 371:585\u2013608","journal-title":"J Math Anal Appl"},{"key":"938_CR41","doi-asserted-by":"publisher","first-page":"055203","DOI":"10.1088\/1751-8113\/45\/5\/055203","volume":"45","author":"SF Tian","year":"2012","unstructured":"Tian SF, Zhang HQ (2012) On the integrability of a generalized variable-coefficient Kadomtsev-Petviashvili equation. J Phys A Math Theor 45:055203","journal-title":"J Phys A Math Theor"},{"key":"938_CR42","doi-asserted-by":"publisher","first-page":"212","DOI":"10.1111\/sapm.12026","volume":"132","author":"SF Tian","year":"2014","unstructured":"Tian SF, Zhang HQ (2014) On the integrability of a generalized variable-coefficient forced Korteweg-de Vries equation in fluids. Stud Appl Math 132:212\u2013246","journal-title":"Stud Appl Math"},{"issue":"4","key":"938_CR43","doi-asserted-by":"publisher","first-page":"1713","DOI":"10.1090\/proc\/13917","volume":"146","author":"SF Tian","year":"2018","unstructured":"Tian SF, Zhang TT (2018) Long-time asymptotic behavior for the Gerdjikov-Ivanov type of derivative nonlinear Schr\u00f6dinger equation with time-periodic boundary condition. Proc Am Math Soc 146(4):1713\u20131729","journal-title":"Proc Am Math Soc"},{"key":"938_CR44","doi-asserted-by":"publisher","first-page":"2486","DOI":"10.1016\/j.camwa.2016.09.003","volume":"72","author":"JM Tu","year":"2016","unstructured":"Tu JM, Tian SF, Xu MJ, Ma PL, Zhang TT (2016a) On periodic wave solutions with asymptotic behaviors to a (3+1)-dimensional generalized B-type Kadomtsev- Petviashvili equation in fluid dynamics. Comput Math Appl 72:2486\u20132504","journal-title":"Comput Math Appl"},{"key":"938_CR45","doi-asserted-by":"publisher","first-page":"823","DOI":"10.11650\/tjm.20.2016.6850","volume":"20","author":"JM Tu","year":"2016","unstructured":"Tu JM, Tian SF, Xu MJ, Zhang TT (2016b) Quasi-periodic waves and solitary waves to a generalized KdV-Caudrey-Dodd-Gibbon equation from fluid dynamics. Taiwanese J Math 20:823\u2013848","journal-title":"Taiwanese J Math"},{"issue":"5","key":"938_CR46","doi-asserted-by":"publisher","first-page":"6270","DOI":"10.1007\/s40314-018-0699-y","volume":"37","author":"XB Wang","year":"2018","unstructured":"Wang XB, Tian SF (2018) Lie symmetry analysis, conservation laws and analytical solutions of the time-fractional thin-film equation. Comput Appl Math 37(5):6270\u20136282","journal-title":"Comput Appl Math"},{"key":"938_CR47","first-page":"2","volume":"114","author":"XB Wang","year":"2003","unstructured":"Wang XB, Tian SF, Qin CY (2003) Zhang TT (2016) Lie symmetry analysis, conservation laws and exact solutions of the generalized time fractional Burgers equation. EPL 114:2","journal-title":"EPL"},{"key":"938_CR48","first-page":"216","volume":"283","author":"XB Wang","year":"2016","unstructured":"Wang XB, Tian SF, Xu MJ, Zhang TT (2016) On integrability and quasi-periodic wave solutions to a (3+1)-dimensional generalized KdV-like model equation. Appl Math Comput 283:216\u2013233","journal-title":"Appl Math Comput"},{"issue":"1","key":"938_CR49","doi-asserted-by":"publisher","first-page":"10002","DOI":"10.1209\/0295-5075\/115\/10002","volume":"115","author":"XB Wang","year":"2017","unstructured":"Wang XB, Tian SF, Qin CY, Zhang TT (2017) Characteristics of the breathers, rogue waves and solitary waves in a generalized (2+1)-dimensional Boussinesq equation. EPL 115(1):10002","journal-title":"EPL"},{"key":"938_CR50","doi-asserted-by":"publisher","first-page":"58","DOI":"10.1016\/j.aml.2017.04.009","volume":"72","author":"XB Wang","year":"2017","unstructured":"Wang XB, Tian SF, Qin CY, Zhang TT (2017) Characteristics of the solitary waves and rogue waves with interaction phenomena in a generalized (3+1)-dimensional Kadomtsev-Petviashvili equation. Appl Math Lett 72:58\u201364","journal-title":"Appl Math Lett"},{"key":"938_CR51","doi-asserted-by":"publisher","first-page":"298","DOI":"10.1016\/j.aml.2018.07.012","volume":"86","author":"XB Wang","year":"2018","unstructured":"Wang XB, Zhang TT, Dong MJ (2018) Dynamics of the breathers and rogue waves in the higher-order nonlinear Schr\u00f6dinger equation. Appl Math Lett 86:298\u2013304","journal-title":"Appl Math Lett"},{"issue":"8","key":"938_CR52","doi-asserted-by":"publisher","first-page":"3353","DOI":"10.1090\/proc\/13765","volume":"146","author":"XB Wang","year":"2018","unstructured":"Wang XB, Tian SF, Zhang TT (2018) Characteristics of the breather and rogue waves in a (2+1)-dimensional nonlinear Schr\u00f6dinger equation. Proc Am Math Soc 146(8):3353\u20133365","journal-title":"Proc Am Math Soc"},{"issue":"2","key":"938_CR53","doi-asserted-by":"publisher","first-page":"276","DOI":"10.1016\/j.camwa.2018.04.018","volume":"76","author":"AM Wazwaz","year":"2018","unstructured":"Wazwaz AM, Osman MS (2018) Analyzing the combined multi-waves polynomial solutions in a two-layer-liquid medium. Comput Math Appl 76(2):276\u2013283","journal-title":"Comput Math Appl"},{"key":"938_CR54","doi-asserted-by":"publisher","first-page":"388","DOI":"10.1016\/j.nonrwa.2016.01.019","volume":"31","author":"MJ Xu","year":"2016","unstructured":"Xu MJ, Tian SF, Tu JM, Zhang TT (2016) B\u00e4cklund transformation, infinite conservation laws and periodic wave solutions to a generalized (2+1)-dimensional Boussinesq equation. Nonlinear Anal Real World Appl 31:388\u2013408","journal-title":"Nonlinear Anal Real World Appl"},{"key":"938_CR55","doi-asserted-by":"publisher","unstructured":"Yan XW, Tian SF, Wang XB, Zhang TT (2018) Solitons to rogue waves transition, lump solutions and interaction solutions for the (3+1)-dimensional generalized B-type Kadomtsev-Petviashvili equation in fluid dynamics. J Comput Math Int. \n                    https:\/\/doi.org\/10.1080\/00207160.2018.1535708","DOI":"10.1080\/00207160.2018.1535708"},{"issue":"1","key":"938_CR56","doi-asserted-by":"publisher","first-page":"179","DOI":"10.1016\/j.camwa.2018.04.013","volume":"76","author":"XW Yan","year":"2018","unstructured":"Yan XW, Tian SF, Dong MJ, Zhang TT (2018) Characteristics of solitary wave, homoclinic breather wave and rogue wave solutions in a (2+1)-dimensional generalized breaking soliton equation. Comput Math Appl 76(1):179\u2013186","journal-title":"Comput Math Appl"},{"issue":"2","key":"938_CR57","doi-asserted-by":"publisher","first-page":"709","DOI":"10.1007\/s11071-018-4085-5","volume":"92","author":"XW Yan","year":"2018","unstructured":"Yan XW, Tian SF, Dong MJ, Zou L (2018) B\u00e4cklund transformation, rogue wave solutions and interaction phenomena for a (3+1)-dimensional B-type Kadomtsev-Petviashvili-Boussinesq equation. Nonlinear Dyn 92(2):709\u2013720","journal-title":"Nonlinear Dyn"},{"issue":"5","key":"938_CR58","doi-asserted-by":"publisher","first-page":"399","DOI":"10.1515\/zna-2017-0436","volume":"73","author":"XW Yan","year":"2018","unstructured":"Yan XW, Tian SF, Dong MJ, Wang XB, Zhang TT (2018) Nonlocal symmetries, conservation laws and interaction solutions of the generalised dispersive modified Benjamin-Bona-Mahony equation. Z Naturforsch A 73(5):399\u2013405","journal-title":"Z Naturforsch A"},{"issue":"2","key":"938_CR59","doi-asserted-by":"publisher","first-page":"220","DOI":"10.1016\/j.camwa.2016.11.007","volume":"73","author":"JY Yang","year":"2017","unstructured":"Yang JY, Ma WX (2017) Abundant lump-type solutions of the Jimbo-Miwa equation in (3+1)-dimensions. Comput Math Appl 73(2):220\u2013225","journal-title":"Comput Math Appl"},{"issue":"2","key":"938_CR60","doi-asserted-by":"publisher","first-page":"1539","DOI":"10.1007\/s11071-017-3533-y","volume":"89","author":"JY Yang","year":"2017","unstructured":"Yang JY, Ma WX (2017) Abundant interaction solutions of the KP equation. Nonlinear Dyn 89(2):1539\u20131544","journal-title":"Nonlinear Dyn"},{"issue":"3","key":"938_CR61","doi-asserted-by":"publisher","first-page":"427","DOI":"10.1007\/s13324-017-0181-9","volume":"8","author":"JY Yang","year":"2018","unstructured":"Yang JY, Ma WX, Qin ZY (2018) Lump and lump-soliton solutions to the (2+1)-dimensional Ito equation. Anal Math Phys 8(3):427\u2013436","journal-title":"Anal Math Phys"},{"key":"938_CR62","doi-asserted-by":"publisher","first-page":"1","DOI":"10.1088\/1009-1963\/9\/1\/001","volume":"9","author":"JF Zhang","year":"2000","unstructured":"Zhang JF (2000) Abundant dromion-like structures to the (2+1)-dimensional KdV equation. Chin Phys 9:1\u20134","journal-title":"Chin Phys"},{"issue":"4","key":"938_CR63","doi-asserted-by":"publisher","first-page":"2533","DOI":"10.1007\/s11071-018-4340-9","volume":"93","author":"Y Zhang","year":"2018","unstructured":"Zhang Y, Liu YP, Tang XY (2018) M-lump and interactive solutions to a (3+1)-dimensional nonlinear system. Nonlinear Dyn 93(4):2533\u20132541","journal-title":"Nonlinear Dyn"},{"issue":"6","key":"938_CR64","doi-asserted-by":"publisher","first-page":"1399","DOI":"10.1016\/j.camwa.2017.06.034","volume":"74","author":"HQ Zhao","year":"2017","unstructured":"Zhao HQ, Ma WX (2017) Mixed lump-kink solutions to the KP equation. Comput Math Appl 74(6):1399\u20131405","journal-title":"Comput Math Appl"},{"key":"938_CR65","doi-asserted-by":"publisher","first-page":"1750157","DOI":"10.1142\/S0217984917501573","volume":"31","author":"ZL Zhao","year":"2017","unstructured":"Zhao ZL, Chen Y, Han B (2017) Lump soliton, mixed lump stripe and periodic lump solutions of a (2+1)-dimensional asymmetrical Nizhnik-Novikov-Veselov equation. Mod Phys Lett B 31:1750157","journal-title":"Mod Phys Lett B"}],"container-title":["Computational and Applied Mathematics"],"original-title":[],"language":"en","link":[{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s40314-019-0938-x.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/article\/10.1007\/s40314-019-0938-x\/fulltext.html","content-type":"text\/html","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s40314-019-0938-x.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2020,10,2]],"date-time":"2020-10-02T23:05:08Z","timestamp":1601679908000},"score":1,"resource":{"primary":{"URL":"http:\/\/link.springer.com\/10.1007\/s40314-019-0938-x"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2019,10,4]]},"references-count":65,"journal-issue":{"issue":"4","published-print":{"date-parts":[[2019,12]]}},"alternative-id":["938"],"URL":"https:\/\/doi.org\/10.1007\/s40314-019-0938-x","relation":{},"ISSN":["2238-3603","1807-0302"],"issn-type":[{"value":"2238-3603","type":"print"},{"value":"1807-0302","type":"electronic"}],"subject":[],"published":{"date-parts":[[2019,10,4]]},"assertion":[{"value":"21 December 2018","order":1,"name":"received","label":"Received","group":{"name":"ArticleHistory","label":"Article History"}},{"value":"11 July 2019","order":2,"name":"revised","label":"Revised","group":{"name":"ArticleHistory","label":"Article History"}},{"value":"24 September 2019","order":3,"name":"accepted","label":"Accepted","group":{"name":"ArticleHistory","label":"Article History"}},{"value":"4 October 2019","order":4,"name":"first_online","label":"First Online","group":{"name":"ArticleHistory","label":"Article History"}},{"order":1,"name":"Ethics","group":{"name":"EthicsHeading","label":"Compliance with ethical standards"}},{"value":"No potential conflict of interest was reported by the authors.","order":2,"name":"Ethics","group":{"name":"EthicsHeading","label":"Disclosure statement"}}],"article-number":"164"}}