文献类型：期刊文献

中文题名：Dynamics of a D’Alembert wave and a soliton molecule for an extended BLMP equation

作者：Bo Ren[1]

机构：[1]Institute of Nonlinear Science,Shaoxing University,Shaoxing,312000,China

年份：2021

卷号：73

期号：3

起止页码：23

中文期刊名：理论物理通讯：英文版

收录：CSTPCD、、CSCD2021_2022、Scopus、CSCD、PubMed

基金：supported by the National Natural Science meters restrain as the relation:Foundation of China Grant No.11775146.

语种：英文

中文关键词：(2+1)-dimensional extended Boiti-Leon-Manna-Pempinelli equation;Painleve analysis;D’Alembert waves;soliton molecule

中文摘要：The D’Alembert solution of the wave motion equation is an important basic formula in linear partial differential theory.The study of the D’Alembert wave is worthy of deep consideration in nonlinear partial differential systems.In this paper,we construct a(2+1)-dimensional extended Boiti-Leon-Manna-Pempinelli(eBLMP)equation which fails to pass the Painleve property.The D’Alembert-type wave of the eBLMP equation is still obtained by introducing one arbitrary function of the traveling-wave variable.The multi-solitary wave which should satisfy the velocity resonance condition is obtained by solving the Hirota bilinear form of the eBLMP equation.The dynamics of the three-soliton molecule,the three-kink soliton molecule,the soliton molecule bound by an asymmetry soliton and a one-soliton,and the interaction between the half periodic wave and a kink soliton molecule from the eBLMP equation are investigated by selecting appropriate parameters.