{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,2,21]],"date-time":"2025-02-21T02:07:49Z","timestamp":1740103669468,"version":"3.37.3"},"reference-count":80,"publisher":"Wiley","license":[{"start":{"date-parts":[[2020,2,20]],"date-time":"2020-02-20T00:00:00Z","timestamp":1582156800000},"content-version":"unspecified","delay-in-days":0,"URL":"http:\/\/creativecommons.org\/licenses\/by\/4.0\/"}],"funder":[{"DOI":"10.13039\/501100001809","name":"National Natural Science Foundation of China","doi-asserted-by":"publisher","award":["11547005","11847011","LZ2017002","LR2016021","20170540007"],"award-info":[{"award-number":["11547005","11847011","LZ2017002","LR2016021","20170540007"]}],"id":[{"id":"10.13039\/501100001809","id-type":"DOI","asserted-by":"publisher"}]},{"DOI":"10.13039\/501100001809","name":"National Natural Science Foundation of China","doi-asserted-by":"publisher","award":["11547005","11847011","LZ2017002","LR2016021","20170540007"],"award-info":[{"award-number":["11547005","11847011","LZ2017002","LR2016021","20170540007"]}],"id":[{"id":"10.13039\/501100001809","id-type":"DOI","asserted-by":"publisher"}]},{"DOI":"10.13039\/501100007620","name":"Department of Education of Liaoning Province","doi-asserted-by":"publisher","award":["11547005","11847011","LZ2017002","LR2016021","20170540007"],"award-info":[{"award-number":["11547005","11847011","LZ2017002","LR2016021","20170540007"]}],"id":[{"id":"10.13039\/501100007620","id-type":"DOI","asserted-by":"publisher"}]},{"name":"Innovative Talents Support Program in Colleges and Universities of Liaoning Province of China","award":["11547005","11847011","LZ2017002","LR2016021","20170540007"],"award-info":[{"award-number":["11547005","11847011","LZ2017002","LR2016021","20170540007"]}]},{"DOI":"10.13039\/501100005047","name":"Natural Science Foundation of Liaoning Province","doi-asserted-by":"publisher","award":["11547005","11847011","LZ2017002","LR2016021","20170540007"],"award-info":[{"award-number":["11547005","11847011","LZ2017002","LR2016021","20170540007"]}],"id":[{"id":"10.13039\/501100005047","id-type":"DOI","asserted-by":"publisher"}]}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Complexity"],"published-print":{"date-parts":[[2020,2,20]]},"abstract":"<jats:p>In this paper, a new generalized semidiscrete integrable system with time-varying coefficients is analytically studied. Firstly, the generalized semidiscrete system is derived from a semidiscrete matrix spectral problem by embedding finite time-varying coefficient functions. Secondly, exact and explicit <jats:italic>N<\/jats:italic>-soliton solutions of the semidiscrete system are obtained by using the inverse scattering analysis. Finally, three special cases when <mml:math xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" id=\"M1\"><mml:mrow><mml:mi>N<\/mml:mi><mml:mo>=<\/mml:mo><mml:mn>1,2,3<\/mml:mn><\/mml:mrow><\/mml:math> of the obtained <jats:italic>N<\/jats:italic>-soliton solutions are simulated by selecting some appropriate coefficient functions. It is shown that the time-varying coefficient functions affect the spatiotemporal structures and the propagation velocities of the obtained semidiscrete one-soliton solutions, two-soliton solutions, and three-soliton solutions.<\/jats:p>","DOI":"10.1155\/2020\/1543503","type":"journal-article","created":{"date-parts":[[2020,2,20]],"date-time":"2020-02-20T18:30:35Z","timestamp":1582223435000},"page":"1-15","source":"Crossref","is-referenced-by-count":0,"title":["Analytical Insights into a Generalized Semidiscrete System with Time-Varying Coefficients: Derivation, Exact Solutions, and Nonlinear Soliton Dynamics"],"prefix":"10.1155","volume":"2020","author":[{"ORCID":"https:\/\/orcid.org\/0000-0002-4631-7033","authenticated-orcid":true,"given":"Sheng","family":"Zhang","sequence":"first","affiliation":[{"name":"School of Mathematics and Physics, Bohai University, Jinzhou 121013, China"},{"name":"School of Mathematical Sciences, Qufu Normal University, Qufu 273165, China"}]},{"given":"Sen","family":"Zhao","sequence":"additional","affiliation":[{"name":"School of Mathematics and Physics, Bohai University, Jinzhou 121013, China"}]},{"given":"Bo","family":"Xu","sequence":"additional","affiliation":[{"name":"School of Educational Sciences, Bohai University, Jinzhou 121013, China"},{"name":"School of Mathematics, China University of Mining and Technology, Xuzhou 221116, China"}]}],"member":"311","reference":[{"year":"1965","key":"1"},{"key":"2","doi-asserted-by":"publisher","DOI":"10.1155\/2019\/3206503"},{"key":"3","doi-asserted-by":"publisher","DOI":"10.1016\/0167-2789(96)00083-8"},{"key":"4","doi-asserted-by":"publisher","DOI":"10.1103\/physrevb.34.4959"},{"key":"5","doi-asserted-by":"publisher","DOI":"10.1016\/s0167-2789(03)00226-4"},{"key":"6","doi-asserted-by":"publisher","DOI":"10.1016\/j.chaos.2005.04.071"},{"key":"7","doi-asserted-by":"publisher","DOI":"10.1515\/ijnsns.2007.8.3.461"},{"key":"8","doi-asserted-by":"publisher","DOI":"10.1016\/j.amc.2007.09.051"},{"key":"9","doi-asserted-by":"publisher","DOI":"10.2298\/tsci160809056d"},{"key":"10","doi-asserted-by":"publisher","DOI":"10.1002\/mana.200610752"},{"key":"11","doi-asserted-by":"publisher","DOI":"10.1088\/0031-8949\/80\/04\/045002"},{"key":"12","doi-asserted-by":"publisher","DOI":"10.1515\/zna-2010-1105"},{"key":"13","doi-asserted-by":"publisher","DOI":"10.1088\/1751-8113\/44\/11\/115201"},{"key":"14","doi-asserted-by":"publisher","DOI":"10.1139\/cjp-2013-0341"},{"key":"15","doi-asserted-by":"publisher","DOI":"10.1007\/s12043-014-0918-z"},{"key":"16","doi-asserted-by":"publisher","DOI":"10.1007\/s11082-018-1406-3"},{"key":"17","doi-asserted-by":"publisher","DOI":"10.1140\/epjp\/i2018-12085-y"},{"key":"18","doi-asserted-by":"publisher","DOI":"10.1016\/j.tsep.2017.11.005"},{"key":"19","doi-asserted-by":"publisher","DOI":"10.14317\/jami.2013.631"},{"key":"20","doi-asserted-by":"publisher","DOI":"10.1088\/1402-4896\/aaf548"},{"key":"21","doi-asserted-by":"publisher","DOI":"10.1088\/0964-1726\/25\/3\/035022"},{"key":"22","doi-asserted-by":"publisher","DOI":"10.21042\/amns.2018.1.00018"},{"key":"23","doi-asserted-by":"publisher","DOI":"10.1016\/j.cnsns.2006.04.002"},{"key":"24","doi-asserted-by":"publisher","DOI":"10.1140\/epjp\/i2018-12205-9"},{"issue":"1","key":"25","doi-asserted-by":"crossref","first-page":"93","DOI":"10.2478\/AMNS.2019.1.00010","volume":"4","year":"2019","journal-title":"Applied Mathematics and Nonlinear Sciences"},{"key":"26","doi-asserted-by":"publisher","DOI":"10.1016\/j.spmi.2016.11.051"},{"key":"27","doi-asserted-by":"publisher","DOI":"10.1016\/j.ijleo.2016.09.022"},{"key":"28","doi-asserted-by":"publisher","DOI":"10.1515\/zna-2015-0445"},{"key":"29","doi-asserted-by":"publisher","DOI":"10.1016\/j.aml.2017.12.019"},{"key":"30","doi-asserted-by":"publisher","DOI":"10.1016\/j.aml.2019.01.038"},{"key":"31","doi-asserted-by":"publisher","DOI":"10.1007\/s11071-019-05045-y"},{"key":"32","doi-asserted-by":"publisher","DOI":"10.1016\/j.chaos.2017.12.014"},{"key":"33","doi-asserted-by":"publisher","DOI":"10.1007\/s11071-019-04992-w"},{"key":"34","doi-asserted-by":"publisher","DOI":"10.1140\/epjp\/i2019-12726-7"},{"key":"35","doi-asserted-by":"publisher","DOI":"10.1103\/physrevlett.98.074102"},{"key":"36","doi-asserted-by":"publisher","DOI":"10.1209\/0295-5075\/93\/40004"},{"key":"37","doi-asserted-by":"publisher","DOI":"10.1002\/andp.201600323"},{"key":"38","doi-asserted-by":"publisher","DOI":"10.1007\/s11071-010-9936-7"},{"key":"39","doi-asserted-by":"publisher","DOI":"10.1080\/00207160.2013.855730"},{"key":"40","doi-asserted-by":"publisher","DOI":"10.1007\/s11071-016-3316-x"},{"key":"41","doi-asserted-by":"publisher","DOI":"10.1515\/ijnsns-2016-0191"},{"key":"42","doi-asserted-by":"publisher","DOI":"10.1155\/2018\/3158126"},{"year":"1989","key":"43"},{"key":"44","doi-asserted-by":"publisher","DOI":"10.2298\/tsci1405563z"},{"issue":"4","key":"45","first-page":"177","volume":"44","year":"2014","journal-title":"IAENG International Journal of Applied Mathematics"},{"key":"46","doi-asserted-by":"publisher","DOI":"10.4028\/www.scientific.net\/jnanor.23.113"},{"year":"2006","key":"47"},{"issue":"17","key":"48","doi-asserted-by":"crossref","first-page":"3903","DOI":"10.1088\/0305-4470\/23\/17\/020","volume":"23","year":"1990","journal-title":"Journal of Physics A: Mathematical and General"},{"issue":"5","key":"49","first-page":"889","volume":"43","year":"2005","journal-title":"Chinese Journal of Physics"},{"key":"50","doi-asserted-by":"publisher","DOI":"10.1103\/physrevlett.27.1192"},{"key":"51","doi-asserted-by":"publisher","DOI":"10.1016\/0375-9601(96)00103-x"},{"key":"52","doi-asserted-by":"publisher","DOI":"10.1016\/s0375-9601(00)00725-8"},{"key":"53","doi-asserted-by":"publisher","DOI":"10.1016\/s0375-9601(01)00376-0"},{"key":"54","doi-asserted-by":"publisher","DOI":"10.1016\/s0375-9601(02)00776-4"},{"key":"55","doi-asserted-by":"publisher","DOI":"10.1016\/j.amc.2006.06.043"},{"key":"56","doi-asserted-by":"publisher","DOI":"10.1016\/j.physleta.2008.02.048"},{"key":"57","doi-asserted-by":"publisher","DOI":"10.1016\/j.amc.2011.06.014"},{"key":"58","doi-asserted-by":"publisher","DOI":"10.1007\/s11071-017-3399-z"},{"issue":"19","key":"59","doi-asserted-by":"crossref","first-page":"1095","DOI":"10.1103\/PhysRevLett.19.1095","volume":"19","year":"1967","journal-title":"Physical Review Letters"},{"key":"60","doi-asserted-by":"publisher","DOI":"10.1016\/j.physleta.2009.12.051"},{"key":"61","doi-asserted-by":"publisher","DOI":"10.1016\/j.physleta.2011.01.029"},{"key":"62","doi-asserted-by":"publisher","DOI":"10.1515\/ijnsns-2013-0077"},{"key":"63","doi-asserted-by":"publisher","DOI":"10.15388\/na.2016.5.5"},{"key":"64","doi-asserted-by":"publisher","DOI":"10.1186\/s13662-016-0876-5"},{"key":"65","doi-asserted-by":"publisher","DOI":"10.2298\/tsci1603789z"},{"key":"66","doi-asserted-by":"publisher","DOI":"10.1016\/j.aml.2016.05.010"},{"key":"67","doi-asserted-by":"publisher","DOI":"10.1186\/s13661-016-0604-9"},{"key":"68","doi-asserted-by":"publisher","DOI":"10.1186\/s13660-016-1015-2"},{"key":"69","doi-asserted-by":"publisher","DOI":"10.1186\/s13660-016-1152-7"},{"key":"70","doi-asserted-by":"publisher","DOI":"10.1016\/j.physa.2017.04.054"},{"key":"71","doi-asserted-by":"publisher","DOI":"10.1016\/j.aml.2016.10.015"},{"key":"72","doi-asserted-by":"publisher","DOI":"10.1016\/j.camwa.2016.01.028"},{"volume":"2017","journal-title":"Advances in Difference Equations","year":"2017","key":"73"},{"key":"74","doi-asserted-by":"publisher","DOI":"10.1186\/s13661-017-0787-8"},{"key":"75","doi-asserted-by":"publisher","DOI":"10.1155\/2017\/3793872"},{"key":"76","doi-asserted-by":"publisher","DOI":"10.1016\/j.rinp.2018.06.011"},{"key":"77","doi-asserted-by":"publisher","DOI":"10.15388\/na.2015.1.9"},{"key":"78","doi-asserted-by":"publisher","DOI":"10.1002\/mma.3047"},{"key":"79","doi-asserted-by":"publisher","DOI":"10.1088\/0253-6102\/66\/3\/315"},{"key":"80","doi-asserted-by":"publisher","DOI":"10.1002\/mma.3946"}],"container-title":["Complexity"],"original-title":[],"language":"en","link":[{"URL":"http:\/\/downloads.hindawi.com\/journals\/complexity\/2020\/1543503.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/downloads.hindawi.com\/journals\/complexity\/2020\/1543503.xml","content-type":"application\/xml","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/downloads.hindawi.com\/journals\/complexity\/2020\/1543503.pdf","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2020,2,20]],"date-time":"2020-02-20T18:30:43Z","timestamp":1582223443000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.hindawi.com\/journals\/complexity\/2020\/1543503\/"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2020,2,20]]},"references-count":80,"alternative-id":["1543503","1543503"],"URL":"https:\/\/doi.org\/10.1155\/2020\/1543503","relation":{},"ISSN":["1076-2787","1099-0526"],"issn-type":[{"type":"print","value":"1076-2787"},{"type":"electronic","value":"1099-0526"}],"subject":[],"published":{"date-parts":[[2020,2,20]]}}}