文献类型：期刊文献

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

作者：Ren, Bo[1]

机构：[1]Shaoxing Univ, Inst Nonlinear Sci, Shaoxing 312000, Peoples R China

年份：2021

卷号：73

期号：3

外文期刊名：COMMUNICATIONS IN THEORETICAL PHYSICS

收录：SCI-EXPANDED(收录号：WOS:000616089600001)、、Scopus(收录号：2-s2.0-85101611230)、WOS

基金：This work is supported by the National Natural Science Foundation of China Grant No. 11 775 146.

语种：英文

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

外文摘要：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.