Trajectory equation of a lump before and after collision with other waves for generalized Hirota–Satsuma–Ito equation  

作　　者：夏亚荣 张开开 姚若侠 申亚丽 Yarong Xia;Kaikai Zhang;Ruoxia Yao;Yali Shen(School of Information and Engineering,Xi'an University,Xi'an 710065,China;School of Science,Xi'an University of Architecture and Technology,Xi'an 710055,China;School of Computer Science,Shaanxi Normal University,Xi'an 710062,China;Maths and Information Technology School,Yuncheng University,Yuncheng 044000,China)

机构地区：[1]School of Information and Engineering,Xi'an University,Xi'an 710065,China [2]School of Science,Xi'an University of Architecture and Technology,Xi'an 710055,China [3]School of Computer Science,Shaanxi Normal University,Xi'an 710062,China [4]Maths and Information Technology School,Yuncheng University,Yuncheng 044000,China

出　　处：《Chinese Physics B》2023年第10期163-171,共9页中国物理B（英文版）

基　　金：Project supported by the National Natural Science Foundation of China(Grant Nos.12001424 and 12271324);the Natural Science Basic Research Program of Shaanxi Province,China(Grant No.2021JZ-21);the Chinese Post Doctoral Science Foundation(Grant No.2020M673332);the Three-year Action Plan Project of Xi’an University(Grant No.2021XDJH01)。

摘　　要：Based on the Hirota bilinear and long wave limit methods,the hybrid solutions of m-lump with n-soliton and nbreather wave for generalized Hirota–Satsuma–Ito(GHSI)equation are constructed.Then,by approximating solutions of the GHSI equation along some parallel orbits at infinity,the trajectory equation of a lump wave before and after collisions with n-soliton and n-breather wave are studied,and the expressions of phase shift for lump wave before and after collisions are given.Furthermore,it is revealed that collisions between the lump wave and other waves are elastic,the corresponding collision diagrams are used to further explain.

关 键 词：Hirota bilinear method long wave limit hybrid solutions trajectory equation 

分 类 号：O175.29[理学—数学]