Trajectory equations of interaction and evolution behaviors of a novel multi-soliton to a (2+1)-dimensional shallow water wave model  

作　　者：Xi-Yu Tan Wei Tan 谭茜宇;谭伟

机构地区：[1]College of Mathematics and Statistics,Jishou University,Jishou 416000,China

出　　处：《Chinese Physics B》2025年第4期238-248,共11页中国物理B(英文版)

基　　金：Project supported by the National Natural Science Foundation of China(Grant No.12461047);the Scientific Research Project of the Hunan Education Department(Grant No.24B0478).

摘　　要：Based on a new bilinear equation,we investigated some new dynamic behaviors of the(2+1)-dimensional shallow water wave model,such as hybridization behavior between different solitons,trajectory equations for lump collisions,and evolution behavior of multi-breathers.Firstly,the N-soliton solution of Ito equation is studied,and some high-order breather waves can be obtained from the N-soliton solutions through paired-complexification of parameters.Secondly,the high-order lump solutions and the hybrid solutions are obtained by employing the long-wave limit method,and the motion velocity and trajectory equations of high-order lump waves are analyzed.Moreover,based on the trajectory equations of the higher-order lump solutions,we give and prove the trajectory theorem of 1-lump before and after interaction with nsoliton.Finally,we obtain some new lump solutions from the multi-solitons by constructing a new test function and using the parameter limit method.Meanwhile,some evolutionary behaviors of the obtained solutions are shown through a large number of three-dimensional graphs with different and appropriate parameters.

关 键 词：Ito equation trajectory equation multi-solitons dynamic behavior 

分 类 号：O175.2[理学—数学]