{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,2,21]],"date-time":"2025-02-21T07:45:27Z","timestamp":1740123927573,"version":"3.37.3"},"reference-count":59,"publisher":"Springer Science and Business Media LLC","issue":"1","license":[{"start":{"date-parts":[[2018,4,26]],"date-time":"2018-04-26T00:00:00Z","timestamp":1524700800000},"content-version":"tdm","delay-in-days":0,"URL":"http:\/\/www.springer.com\/tdm"}],"funder":[{"name":"UC-MEXUS CONACyT Doctoral Fellowship","award":["213509"],"award-info":[{"award-number":["213509"]}]}],"content-domain":{"domain":["link.springer.com"],"crossmark-restriction":false},"short-container-title":["Adv Comput Math"],"published-print":{"date-parts":[[2019,2]]},"DOI":"10.1007\/s10444-018-9607-7","type":"journal-article","created":{"date-parts":[[2018,4,25]],"date-time":"2018-04-25T18:36:38Z","timestamp":1524681398000},"page":"99-135","update-policy":"https:\/\/doi.org\/10.1007\/springer_crossmark_policy","source":"Crossref","is-referenced-by-count":3,"title":["Boundary integral methods for dispersive equations, Airy flow and the modified Korteweg de Vries equation"],"prefix":"10.1007","volume":"45","author":[{"ORCID":"https:\/\/orcid.org\/0000-0001-6049-5488","authenticated-orcid":false,"given":"Mariano","family":"Franco-de-Leon","sequence":"first","affiliation":[]},{"given":"John","family":"Lowengrub","sequence":"additional","affiliation":[]}],"member":"297","published-online":{"date-parts":[[2018,4,26]]},"reference":[{"key":"9607_CR1","doi-asserted-by":"publisher","first-page":"161","DOI":"10.1017\/S0022112090002609","volume":"215","author":"G Baker","year":"1990","unstructured":"Baker, G., Shelley, M.: On the connection between thin vortex layers and vortex sheets. J. Fluid Mech. 215, 161\u2013194 (1990)","journal-title":"J. Fluid Mech."},{"issue":"5","key":"9607_CR2","doi-asserted-by":"publisher","first-page":"1797","DOI":"10.1137\/S0036142993245750","volume":"33","author":"JT Beale","year":"1996","unstructured":"Beale, J.T., Hou, T.Y., Lowengrub, J.: Convergence of a boundary integral method for water waves. SIAM J. Numer. Anal. 33(5), 1797\u20131843 (1996)","journal-title":"SIAM J. Numer. Anal."},{"issue":"2","key":"9607_CR3","doi-asserted-by":"publisher","first-page":"235","DOI":"10.1016\/0045-7825(92)90042-I","volume":"99","author":"DJ Benson","year":"1992","unstructured":"Benson, D.J.: Computational methods in lagrangian and eulerian hydrocodes. Comput. Methods Appl. Mech. Eng. 99(2), 235\u2013394 (1992)","journal-title":"Comput. Methods Appl. Mech. Eng."},{"issue":"5","key":"9607_CR4","doi-asserted-by":"publisher","first-page":"1432","DOI":"10.1007\/s10955-015-1297-7","volume":"160","author":"C Bonanno","year":"2015","unstructured":"Bonanno, C.: A complexity approach to the soliton resolution conjecture. J. Stat. Phys. 160(5), 1432\u20131448 (2015)","journal-title":"J. Stat. Phys."},{"issue":"2","key":"9607_CR5","doi-asserted-by":"publisher","first-page":"720","DOI":"10.1006\/jcph.2001.6758","volume":"170","author":"P Burchard","year":"2001","unstructured":"Burchard, P., Cheng, L.-T., Merriman, B., Osher, S.: Motion of curves in three spatial dimensions using a level set approach. J. Comput. Phys. 170(2), 720\u2013741 (2001)","journal-title":"J. Comput. Phys."},{"key":"9607_CR6","doi-asserted-by":"publisher","DOI":"10.1007\/978-3-642-84108-8","volume-title":"Spectral Methods in Fluid Dynamics","author":"C Canuto","year":"1988","unstructured":"Canuto, C., Hussaini, M., Quarteroni, A., Zang, T.: Spectral Methods in Fluid Dynamics. Springer, Berlin (1988)"},{"key":"9607_CR7","doi-asserted-by":"publisher","DOI":"10.1007\/978-3-540-30728-0","volume-title":"Spectral Methods: Fundamentals in Single Domains","author":"C Canuto","year":"2007","unstructured":"Canuto, C., Hussaini, M., Quarteroni, A., Zang, T.: Spectral Methods: Fundamentals in Single Domains. Springer, Berlin (2007)"},{"issue":"221","key":"9607_CR8","doi-asserted-by":"publisher","first-page":"137","DOI":"10.1090\/S0025-5718-98-00911-9","volume":"67","author":"H Ceniceros","year":"1998","unstructured":"Ceniceros, H., Hou, T.: Convergence of a non-stiff boundary integral method for interfacial flows with surface tension. Math. Comput. Amer. Math. Soc. 67(221), 137\u2013182 (1998)","journal-title":"Math. Comput. Amer. Math. Soc."},{"issue":"2","key":"9607_CR9","doi-asserted-by":"publisher","first-page":"449","DOI":"10.1006\/jcph.1996.0072","volume":"124","author":"Y Chang","year":"1996","unstructured":"Chang, Y., Hou, T., Merriman, B., Osher, S.: A level set formulation of eulerian interface capturing methods for incompressible fluid flows. J. Comput. Phys. 124(2), 449\u2013464 (1996)","journal-title":"J. Comput. Phys."},{"issue":"1\u20132","key":"9607_CR10","doi-asserted-by":"publisher","first-page":"9","DOI":"10.1016\/S0167-2789(01)00364-5","volume":"162","author":"K-S Chou","year":"2002","unstructured":"Chou, K.-S., Qu, C.: Integrable equations arising from motions of plane curves. Physica D 162(1\u20132), 9\u201333 (2002)","journal-title":"Physica D"},{"issue":"3","key":"9607_CR11","doi-asserted-by":"publisher","first-page":"705","DOI":"10.1090\/S0894-0347-03-00421-1","volume":"16","author":"J Colliander","year":"2003","unstructured":"Colliander, J., Keel, M., Staffilani, G., Takaoka, H., Tao, T.: Sharp Global Well-Posedness for KdV and modified KdV on R and T. J. Am. Math. Soc. 16(3), 705\u2013749 (2003)","journal-title":"J. Am. Math. Soc."},{"issue":"1","key":"9607_CR12","doi-asserted-by":"publisher","first-page":"173","DOI":"10.1016\/S0022-1236(03)00218-0","volume":"211","author":"J Colliander","year":"2004","unstructured":"Colliander, J., Keel, M., Staffilani, G., Takaoka, H., Tao, T.: Multilinear estimates for periodic kdV equations, and applications. J. Funct. Anal. 211(1), 173\u2013218 (2004)","journal-title":"J. Funct. Anal."},{"key":"9607_CR13","doi-asserted-by":"publisher","first-page":"149","DOI":"10.1017\/S0022112070000095","volume":"40","author":"G Crapper","year":"1970","unstructured":"Crapper, G.: Non-linear capillary waves generated by steep gravity waves. J. Fluid Mech. 40, 149\u2013159 (1970)","journal-title":"J. Fluid Mech."},{"issue":"4","key":"9607_CR14","doi-asserted-by":"publisher","first-page":"535","DOI":"10.1016\/j.apm.2007.02.001","volume":"32","author":"\u0130 Da\u011f","year":"2008","unstructured":"Da\u011f, \u0130., Dereli, Y.: Numerical solutions of kdv equation using radial basis functions. Appl. Math. Model. 32(4), 535\u2013546 (2008)","journal-title":"Appl. Math. Model."},{"issue":"1","key":"9607_CR15","doi-asserted-by":"publisher","first-page":"17","DOI":"10.1111\/j.1467-9590.2010.00496.x","volume":"126","author":"B Deconinck","year":"2011","unstructured":"Deconinck, B., Nivala, M.: The stability analysis of the periodic traveling wave solutions of the mkdv equation. Stud. Appl. Math. 126(1), 17\u201348 (2011)","journal-title":"Stud. Appl. Math."},{"key":"9607_CR16","volume-title":"Water Wave Propagation Over Uneven Bottoms","author":"M Dingemans","year":"1968","unstructured":"Dingemans, M.: Water Wave Propagation Over Uneven Bottoms. World Scientific, Singapore (1968)"},{"issue":"6","key":"9607_CR17","doi-asserted-by":"publisher","first-page":"577","DOI":"10.1007\/s00422-007-0145-5","volume":"96","author":"T Flash","year":"2007","unstructured":"Flash, T., Handzel, A.A.: Affine differential geometry analysis of human arm movements. Biol. Cybern. 96(6), 577\u2013601 (2007)","journal-title":"Biol. Cybern."},{"issue":"1","key":"9607_CR18","doi-asserted-by":"publisher","first-page":"97","DOI":"10.1002\/cpa.3160270108","volume":"27","author":"CS Gardner","year":"1974","unstructured":"Gardner, C.S., Greene, J.M., Kruskal, M.D., Miura, R.M.: Korteweg-de Vries equation and generalizations. vi. methods for exact solution. Commun. Pure Appl. Math. 27(1), 97\u2013133 (1974)","journal-title":"Commun. Pure Appl. Math."},{"issue":"3","key":"9607_CR19","doi-asserted-by":"publisher","first-page":"237","DOI":"10.1023\/A:1005099011913","volume":"71","author":"PJ Giblin","year":"1998","unstructured":"Giblin, P.J., Sapiro, G.: Affine invariant distances, envelopes and symmetry sets. Geom. Ded. 71(3), 237\u2013261 (1998)","journal-title":"Geom. Ded."},{"issue":"9","key":"9607_CR20","doi-asserted-by":"publisher","first-page":"R61","DOI":"10.1088\/0951-7715\/27\/9\/R61","volume":"27","author":"H Guan","year":"2014","unstructured":"Guan, H., Kuksin, S.: The kdV equation under periodic boundary conditions and its perturbations. Nonlinearity 27(9), R61 (2014)","journal-title":"Nonlinearity"},{"issue":"6","key":"9607_CR21","doi-asserted-by":"publisher","first-page":"583","DOI":"10.1016\/j.matpur.2009.01.012","volume":"91","author":"Z Guo","year":"2009","unstructured":"Guo, Z.: Global well-posedness of Korteweg-de Vries equation in h\u2212\u20093\/4(R). Journal de Math\u00e9matiques Pures et Appliqu\u00e9es 91(6), 583\u2013597 (2009)","journal-title":"Journal de Math\u00e9matiques Pures et Appliqu\u00e9es"},{"key":"9607_CR22","volume-title":"Numerical Mathematics","author":"G Hammerlin","year":"1989","unstructured":"Hammerlin, G., Hoffmann, K.-H.: Numerical Mathematics. Springer, Berlin (1989)"},{"issue":"3","key":"9607_CR23","doi-asserted-by":"publisher","first-page":"725","DOI":"10.1016\/j.chaos.2006.11.011","volume":"33","author":"M Helal","year":"2007","unstructured":"Helal, M., Mehanna, M.: A comparative study between two different methods for solving the general Korteweg-de Vries equation (gKdV). Chaos, Solitons & Fractals 33(3), 725\u2013739 (2007)","journal-title":"Chaos, Solitons & Fractals"},{"key":"9607_CR24","first-page":"693","volume":"28","author":"W Helfrich","year":"1973","unstructured":"Helfrich, W.: Elastic properties of lipid bilayers: theory and possible experiments. Z. Nat. 28, 693\u2013703 (1973)","journal-title":"Z. Nat."},{"key":"9607_CR25","unstructured":"Ho, C.-L., Roy, P.: mKdV equation to zero energy states of graphene. arXiv:\n                    1507.02649\n                    \n                   (2015)"},{"issue":"2","key":"9607_CR26","doi-asserted-by":"publisher","first-page":"302","DOI":"10.1006\/jcph.2000.6626","volume":"169","author":"T Hou","year":"2001","unstructured":"Hou, T., Lowengrub, J., Shelley, M.: Boundary integral methods for multicomponent fluids and multiphase materials. J. Comput. Phys. 169(2), 302\u2013362 (2001)","journal-title":"J. Comput. Phys."},{"issue":"2","key":"9607_CR27","doi-asserted-by":"publisher","first-page":"312","DOI":"10.1006\/jcph.1994.1170","volume":"114","author":"TY Hou","year":"1994","unstructured":"Hou, T.Y., Lowengrub, J.S., Shelley, M.J.: Removing the stiffness from interfacial flows with surface tension. J. Comput. Phys. 114(2), 312\u2013338 (1994)","journal-title":"J. Comput. Phys."},{"issue":"45","key":"9607_CR28","doi-asserted-by":"publisher","first-page":"10959","DOI":"10.1088\/0305-4470\/37\/45\/014","volume":"37","author":"PG Kevrekidis","year":"2004","unstructured":"Kevrekidis, P.G., Khare, A., Saxena, A., Herring, G.: On some classes of mKdV periodic solutions. J. Phys. A Math. Gen. 37(45), 10959 (2004)","journal-title":"J. Phys. A Math. Gen."},{"issue":"5","key":"9607_CR29","doi-asserted-by":"publisher","first-page":"510","DOI":"10.1109\/JQE.1987.1073392","volume":"QE-23","author":"Y Kodama","year":"1987","unstructured":"Kodama, Y., Hasegawa, A.: Nonlinear pulse propagation in a monomode dielectric guide. IEEE J. Quantum Electron. QE-23(5), 510\u2013524 (1987)","journal-title":"IEEE J. Quantum Electron."},{"key":"9607_CR30","doi-asserted-by":"publisher","first-page":"9","DOI":"10.1155\/2017\/4796070","volume":"2017","author":"C Koroglu","year":"2017","unstructured":"Koroglu, C., Aydin, A.: An unconventional finite difference scheme for modified korteweg-de vries equation. Adv. Math. Phys. 2017, 9 (2017)","journal-title":"Adv. Math. Phys."},{"key":"9607_CR31","doi-asserted-by":"publisher","first-page":"65","DOI":"10.1017\/S0022112086002732","volume":"167","author":"R Krasny","year":"1986","unstructured":"Krasny, R.: A study of singularity formation in a vortex sheet by the point-vortex approximation. J. Fluid Mech. 167, 65\u201393 (1986)","journal-title":"J. Fluid Mech."},{"issue":"5","key":"9607_CR32","doi-asserted-by":"publisher","first-page":"467","DOI":"10.1002\/cpa.3160210503","volume":"21","author":"PD Lax","year":"1968","unstructured":"Lax, P.D.: Integrals of nonlinear equations of evolution and solitary waves. Commun. Pure Appl. Math. 21(5), 467\u2013490 (1968)","journal-title":"Commun. Pure Appl. Math."},{"key":"9607_CR33","first-page":"390","volume":"I","author":"PD Lax","year":"2005","unstructured":"Lax, P.D.: Periodic solutions of the kdV equation. Selected Papers I, 390\u2013437 (2005)","journal-title":"Selected Papers"},{"issue":"1","key":"9607_CR34","doi-asserted-by":"publisher","first-page":"44","DOI":"10.1006\/jcph.1999.6359","volume":"157","author":"P Leo","year":"2000","unstructured":"Leo, P., Lowengrub, J., Nie, Q.: Microstructural evolution in orthotropic elastic media. J. Comput. Phys. 157(1), 44\u201388 (2000)","journal-title":"J. Comput. Phys."},{"issue":"7","key":"9607_CR35","doi-asserted-by":"publisher","first-page":"2540","DOI":"10.1016\/j.jcp.2010.12.029","volume":"230","author":"S Leung","year":"2011","unstructured":"Leung, S., Lowengrub, J., Zhao, H.: A grid based particle method for solving partial differential equations on evolving surfaces and modeling high order geometrical motion. J. Comput. Phys. 230(7), 2540\u20132561 (2011)","journal-title":"J. Comput. Phys."},{"issue":"3","key":"9607_CR36","first-page":"433","volume":"6","author":"B Li","year":"2009","unstructured":"Li, B., Lowengrub, J., R\u00e4tz, A., Voigt, A.: Geometric evolution laws for thin crystalline films: modeling and numerics. Commun. Comput. Phys. 6(3), 433\u2013482 (2009)","journal-title":"Commun. Comput. Phys."},{"key":"9607_CR37","volume-title":"Geometric Curve Flows","author":"H-F Liu","year":"2014","unstructured":"Liu, H.-F.: Geometric Curve Flows. PhD Thesis, University of California, Irvine (2014)"},{"key":"9607_CR38","doi-asserted-by":"publisher","first-page":"529","DOI":"10.1016\/S0377-0427(03)00645-9","volume":"164\u2013165","author":"W Malfliet","year":"2004","unstructured":"Malfliet, W.: The tanh method: a tool for solving certain classes of nonlinear evolution and wave equations. J. Comput. Appl. Math. 164\u2013165, 529\u2013541 (2004). Proceedings of the 10th International Congress on Computational and Applied Mathematics","journal-title":"J. Comput. Appl. Math."},{"issue":"3","key":"9607_CR39","doi-asserted-by":"publisher","first-page":"412","DOI":"10.1137\/1018076","volume":"18","author":"RM Miura","year":"1976","unstructured":"Miura, R.M.: The Korteweg-de Vries equation: A survey of results. SIAM Rev. 18(3), 412\u2013459 (1976)","journal-title":"SIAM Rev."},{"issue":"8","key":"9607_CR40","doi-asserted-by":"publisher","first-page":"1204","DOI":"10.1063\/1.1664701","volume":"9","author":"RM Miura","year":"1968","unstructured":"Miura, R.M., Gardner, C.S., Kruskal, M.D.: Korteweg-de Vries equation and generalizations. ii. existence of conservation laws and constants of motion. J. Math. Phys. 9(8), 1204\u20131209 (1968)","journal-title":"J. Math. Phys."},{"issue":"3","key":"9607_CR41","first-page":"413","volume":"2","author":"S Mousavian","year":"2011","unstructured":"Mousavian, S., Jafari, H., Khalique, C., Karimi, S.: New exact analytical solutions for mKdV equation. TJMCS 2(3), 413\u2013416 (2011)","journal-title":"TJMCS"},{"issue":"2","key":"9607_CR42","doi-asserted-by":"publisher","first-page":"521","DOI":"10.1016\/j.jcp.2005.09.030","volume":"214","author":"Q Nie","year":"2006","unstructured":"Nie, Q., Zhang, Y.-T., Zhao, R.: Efficient semi-implicit schemes for stiff systems. J. Comput. Phys. 214(2), 521\u2013537 (2006)","journal-title":"J. Comput. Phys."},{"issue":"4","key":"9607_CR43","doi-asserted-by":"publisher","first-page":"339","DOI":"10.1090\/S0273-0979-97-00732-5","volume":"34","author":"R Palais","year":"1997","unstructured":"Palais, R.: The symmetry of solitons. Bull. (New Series) Amer. Math. Soc. 34 (4), 339\u2013403 (1997)","journal-title":"Bull. (New Series) Amer. Math. Soc."},{"issue":"1","key":"9607_CR44","doi-asserted-by":"publisher","first-page":"337","DOI":"10.1007\/s11784-015-0222-7","volume":"16","author":"RS Palais","year":"2014","unstructured":"Palais, R.S.: The initial value problem for weakly nonlinear pde. J. Fixed Point Theory Appl. 16(1), 337\u2013349 (2014)","journal-title":"J. Fixed Point Theory Appl."},{"key":"9607_CR45","doi-asserted-by":"crossref","unstructured":"Pava, J.A.: Nonlinear Dispersive Equations. Existence and Stability of Solitary and Periodic Traveling Wave Solutions, volume 156. AMS (2009)","DOI":"10.1090\/surv\/156\/03"},{"issue":"1","key":"9607_CR46","doi-asserted-by":"publisher","first-page":"26","DOI":"10.1006\/jcph.1999.6328","volume":"155","author":"I Robertson","year":"1999","unstructured":"Robertson, I., Sherwin, S.: Free-surface flow simulation using hp\/spectral elements. J. Comput. Phys. 155(1), 26\u201353 (1999)","journal-title":"J. Comput. Phys."},{"key":"9607_CR47","doi-asserted-by":"publisher","first-page":"564","DOI":"10.1103\/PhysRevLett.70.564","volume":"70","author":"P Rosenau","year":"1993","unstructured":"Rosenau, P., Hyman, J.M.: Compactons: solitons with finite wavelength. Phys. Rev. Lett. 70, 564\u2013567 (1993)","journal-title":"Phys. Rev. Lett."},{"issue":"2","key":"9607_CR48","doi-asserted-by":"publisher","first-page":"137","DOI":"10.1061\/(ASCE)0733-9496(1996)122:2(137)","volume":"122","author":"LA Rossman","year":"1996","unstructured":"Rossman, L.A., Boulos, P.F.: Numerical methods for modeling water quality in distribution systems: a comparison. J. Water Resour. Plan. Manag. 122(2), 137\u2013146 (1996)","journal-title":"J. Water Resour. Plan. Manag."},{"issue":"3","key":"9607_CR49","doi-asserted-by":"publisher","first-page":"263","DOI":"10.1016\/0165-2125(94)00053-8","volume":"21","author":"N Smyth","year":"1995","unstructured":"Smyth, N., Worthy, A.: Solitary wave evolution for mKdV equations. Wave Motion 21(3), 263\u2013275 (1995)","journal-title":"Wave Motion"},{"issue":"2","key":"9607_CR50","doi-asserted-by":"publisher","first-page":"635","DOI":"10.1090\/S0002-9939-2011-10930-4","volume":"140","author":"C Song","year":"2012","unstructured":"Song, C.: The kdV curve and schr\u00f6dinger-airy curve. Proc. Am. Math. Soc. 140(2), 635\u2013644 (2012)","journal-title":"Proc. Am. Math. Soc."},{"issue":"4","key":"9607_CR51","doi-asserted-by":"publisher","first-page":"525","DOI":"10.1137\/1029110","volume":"29","author":"E Tadmor","year":"1987","unstructured":"Tadmor, E.: Stability analysis of finite difference, pseudospectral and fourier\u2013Galerkin approximations for time-dependent problems. SIAM Rev. 29(4), 525\u2013555 (1987)","journal-title":"SIAM Rev."},{"key":"9607_CR52","doi-asserted-by":"publisher","first-page":"231","DOI":"10.1016\/0021-9991(84)90004-4","volume":"55","author":"TR Taha","year":"1984","unstructured":"Taha, T.R., Ablowitz, M.J.: Analytical and numerical aspects of certain nonlinear evolution equations iii. numerical korteweg-de vries equation. J. Comput. Phys. 55, 231\u2013253 (1984)","journal-title":"J. Comput. Phys."},{"key":"9607_CR53","unstructured":"Tao, T.: Why are solitons stable? arXiv:\n                    0808.2408v2\n                    \n                  (2008)"},{"key":"9607_CR54","unstructured":"Terng, C.-L.: Dispersive Geometric Curve Flows. arXiv:\n                    1411.2065\n                    \n                   (2014)"},{"issue":"2","key":"9607_CR55","doi-asserted-by":"publisher","first-page":"407","DOI":"10.4310\/jdg\/1214459804","volume":"45","author":"C-L Terng","year":"1997","unstructured":"Terng, C.-L. et al.: Soliton equations and differential geometry. J. Differential Geom. 45(2), 407\u2013445 (1997)","journal-title":"J. Differential Geom."},{"issue":"1","key":"9607_CR56","doi-asserted-by":"publisher","first-page":"249","DOI":"10.1146\/annurev.fl.28.010196.001341","volume":"28","author":"W-T Tsai","year":"1996","unstructured":"Tsai, W.-T., Yue, D.K.: Computation of nonlinear free-surface flows. Annu. Rev. Fluid Mech. 28(1), 249\u2013278 (1996)","journal-title":"Annu. Rev. Fluid Mech."},{"issue":"3","key":"9607_CR57","doi-asserted-by":"publisher","first-page":"271","DOI":"10.1016\/j.jksus.2013.04.001","volume":"25","author":"H Wang","year":"2013","unstructured":"Wang, H., Xiang, C.: Jacobi elliptic function solutions for the modified Korteweg-de Vries equation. J King Saud University - Sci. 25(3), 271\u2013274 (2013)","journal-title":"J King Saud University - Sci."},{"issue":"1","key":"9607_CR58","first-page":"19","volume":"4","author":"NM Yagmurlu","year":"2016","unstructured":"Yagmurlu, N.M., Tasbozan, O., Ucar, Y., Esen, A.: Numerical solutions of the Combined KdV-mKdV Equation by a Quintic B-spline Collocation Method. Appl. Math. Inform. Sci. Lett. 4(1), 19\u201324 (2016)","journal-title":"Appl. Math. Inform. Sci. Lett."},{"key":"9607_CR59","doi-asserted-by":"crossref","unstructured":"Zheng, X., Shang, Y., Huang, Y.: Abundant explicit and exact solutions for the variable coefficient Mkdv equations. In: Abstract and applied Analysis, vol. 2013. Hindawi Publishing Corporation (2013)","DOI":"10.1155\/2013\/109690"}],"container-title":["Advances in Computational Mathematics"],"original-title":[],"language":"en","link":[{"URL":"http:\/\/link.springer.com\/article\/10.1007\/s10444-018-9607-7\/fulltext.html","content-type":"text\/html","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s10444-018-9607-7.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s10444-018-9607-7.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2019,10,21]],"date-time":"2019-10-21T19:58:26Z","timestamp":1571687906000},"score":1,"resource":{"primary":{"URL":"http:\/\/link.springer.com\/10.1007\/s10444-018-9607-7"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2018,4,26]]},"references-count":59,"journal-issue":{"issue":"1","published-print":{"date-parts":[[2019,2]]}},"alternative-id":["9607"],"URL":"https:\/\/doi.org\/10.1007\/s10444-018-9607-7","relation":{},"ISSN":["1019-7168","1572-9044"],"issn-type":[{"type":"print","value":"1019-7168"},{"type":"electronic","value":"1572-9044"}],"subject":[],"published":{"date-parts":[[2018,4,26]]},"assertion":[{"value":"20 August 2017","order":1,"name":"received","label":"Received","group":{"name":"ArticleHistory","label":"Article History"}},{"value":"13 April 2018","order":2,"name":"accepted","label":"Accepted","group":{"name":"ArticleHistory","label":"Article History"}},{"value":"26 April 2018","order":3,"name":"first_online","label":"First Online","group":{"name":"ArticleHistory","label":"Article History"}}]}}