Dynamics of Nonlinear Waves in(2+1)-Dimensional Extended Boiti-Leon-Manna-Pempinelli Equation  

广义(2+1)维Boiti-Leon-Manna-Pempinelli方程的非线性波解及其动力学分析

作　　者：SUN Junxiu WANG Yunhu 孙俊秀;王云虎(上海海事大学理学院,上海201306)

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

出　　处：《应用数学》2024年第4期1103-1113,共11页Mathematica Applicata

基　　金：Supported by the National Natural Science Foundation of China(12275172)。

摘　　要：Based on the Hirota bilinear method,this study derived N-soliton solutions,breather solutions,lump solutions and interaction solutions for the(2+1)-dimensional extended Boiti-Leon-Manna-Pempinelli equation.The dynamical characteristics of these solutions were displayed through graphical,particularly revealing fusion and ssion phenomena in the interaction of lump and the one-stripe soliton.基于Hirota双线性方法,本文得到广义(2+1)-维Boiti-Leon-Manna-Pempinelli方程的N孤子解、呼吸子解、lump解以及相互作用解,并通过图形展示了这些解的动力学特性,特别是发现了lump解与单条纹孤子相互作用过程中的聚变和裂变现象.

关 键 词：Hirota bilinear method N-soliton solutions Breather solutions Lump solutions Interaction solutions (2+1)-dimensional extended Boiti-Leon-Manna-Pempinelli equation 

分 类 号：O175.29[理学—数学]