标题:Bäcklund transformation, exact solutions and interaction behaviour of the (3+1)-dimensional Hirota-Satsuma-Ito-like equation
作者:Chen S.-J.; Lü X.; Ma W.-X.
作者机构:[Chen, S.-J] Department of Mathematics, Beijing Jiao Tong University, Beijing, 100044, China;[ Lü, X] Department of Mathematics, Beijing Jiao Tong Uni 更多
通讯作者:Lü, X(xlv@bjtu.edu.cn)
通讯作者地址:[Lü, X] Department of Mathematics, Beijing Jiao Tong UniversityChina;
来源:Communications in Nonlinear Science and Numerical Simulation
出版年:2020
卷:83
DOI:10.1016/j.cnsns.2019.105135
关键词:Bäcklund transformation; Hirota bilinear form; Interaction phenomena; Lump solutions
摘要:In this paper, a (3+1)-dimensional Hirota-Satsuma-Ito-like equation is introduced based on the (2+1)-dimensional Hirota-Satsuma-Ito equation. Bäcklund transformation and corresponding exponential function solutions are deduced by virtue of the Hirota bilinear form. The lump solutions are constructed and the interaction phenomena between a lump wave and multi-kink waves are discussed. The lump wave may turns up in different positions and can be swallowed by multi-kink waves, which means that the collision is non-elastic. Finally, the dynamical behavior of the interaction phenomena is numerically simulated. © 2019 Elsevier B.V.
收录类别:SCOPUS
资源类型:期刊论文
原文链接:https://www.scopus.com/inward/record.uri?eid=2-s2.0-85076053226&doi=10.1016%2fj.cnsns.2019.105135&partnerID=40&md5=8ef85ae2d4b0332570c1ea04a4f10a5e
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