Novel soliton molecule solutions for the second extend(3+1)-dimensional Jimbo-Miwa equation in fluid mechanics  

作　　者：Hongcai Ma Xiaoyu Chen Aiping Deng 

机构地区：[1]Department of Applied Mathematics,Donghua University,Shanghai 201620,People’s Republic of China

出　　处：《Communications in Theoretical Physics》2023年第12期25-43,共19页理论物理通讯（英文版）

摘　　要：The main aim of this paper is to investigate the different types of soliton molecule solutions of the second extend(3+1)-dimensional Jimbo-Miwa equation in a fluid.Four different localized waves:line solitons,breather waves,lump solutions and resonance Y-type solutions are obtained by the Hirota bilinear method directly.Furthermore,the molecule solutions consisting of only line waves,breathers or lump waves are generated by combining velocity resonance condition and long wave limit method.Also,the molecule solutions such as line-breather molecule,lump-line molecule,lump-breather molecule,etc.consisting of different waves are derived.Meanwhile,higher-order molecule solutions composed of only line waves are acquired.

关 键 词：second extend(3+1)-dimensional Jimbo-Miwa equation N-soliton solution velocity resonance soliton molecule solution 

分 类 号：O35[理学—流体力学]