Localized wave solutions and interactions of the (2+1)-dimensional Hirota-Satsuma-Ito equation  

作　　者：巩乾坤 王惠 王云虎 Qiankun Gong;Hui Wang†;Yunhu Wang(School of Science,Shanghai Maritime University,Shanghai 201306,China)

机构地区：[1]School of Science,Shanghai Maritime University,Shanghai 201306,China

出　　处：《Chinese Physics B》2024年第4期409-416,共8页中国物理B（英文版）

基　　金：Project supported by the National Natural Science Foundation of China (Grant Nos.12275172 and 11905124)。

摘　　要：This paper studies the(2+1)-dimensional Hirota-Satsuma-Ito equation.Based on an associated Hirota bilinear form,lump-type solution,two types of interaction solutions,and breather wave solution of the(2+1)-dimensional Hirota-Satsuma-Ito equation are obtained,which are all related to the seed solution of the equation.It is interesting that the rogue wave is aroused by the interaction between one-lump soliton and a pair of resonance stripe solitons,and the fusion and fission phenomena are also found in the interaction between lump solitons and one-stripe soliton.Furthermore,the breather wave solution is also obtained by reducing the two-soliton solutions.The trajectory and period of the one-order breather wave are analyzed.The corresponding dynamical characteristics are demonstrated by the graphs.

关 键 词：lump solution rogue wave solution breather wave solution (2+1)-dimensional Hirota-Satsuma-Ito equation 

分 类 号：O175[理学—数学]