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
通讯作者地址：[Lü, X] Department of Mathematics, Beijing Jiao Tong UniversityChina;
来源：Communications in Nonlinear Science and Numerical Simulation
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.