文献类型：期刊文献

英文题名：Dynamics of D'Alembert wave and soliton molecule for a (2+1)-dimensional generalized breaking soliton equation

作者：Ren, Bo[1];Chu, Peng-Cheng[2]

机构：[1]Shaoxing Univ, Inst Nonlinear Sci, Shaoxing 312000, Peoples R China;[2]Qingdao Univ Technol, Sch Sci, Qingdao 266033, Peoples R China

年份：2021

卷号：74

起止页码：296

外文期刊名：CHINESE JOURNAL OF PHYSICS

收录：SCI-EXPANDED(收录号：WOS:000710247900008)、、Scopus(收录号：2-s2.0-85117241893)、WOS

基金：This work is supported by the National Natural Science Foundation of China Nos. 11775146 and 11975132, and the Shandong Provincial Natural Science Foundation of China No. ZR2019YQ01.

语种：英文

外文关键词：Velocity resonance condition; Arbitrary traveling wave; Soliton molecule; (2+1)-dimensional generalized breaking soliton equation

外文摘要：The D'Alembert solution is an important basic formula in linear partial differential theory due to that it can be considered as a general solution of the wave motion equation. However, the study of the D'Alembert wave is few works in nonlinear partial differential systems. In this paper, one construct the D'Alembert solution of a (2+1)-dimensional generalized breaking soliton equation which possesses the nonlinear terms. This D'Alembert wave has one arbitrary function in the traveling wave variable. We investigate the dynamics of the three soliton molecule, the soliton molecule by bound as an asymmetry soliton and one-soliton, the interaction between the half periodic wave and two-kink, and the interaction among the half periodic wave, one-kink and a kink soliton molecule of the (2+1)-dimensional generalized breaking soliton equation by selecting the appropriate parameters.