文献类型：期刊文献

英文题名：D'Alembert wave and soliton molecule of the modified Nizhnik-Novikov-Veselov equation

作者：Ren, Bo[1];Lin, Ji[2]

机构：[1]Shaoxing Univ, Inst Nonlinear Sci, Shaoxing 312000, Peoples R China;[2]Zhejiang Normal Univ, Dept Phys, Jinhua 321004, Zhejiang, Peoples R China

年份：2021

卷号：136

期号：1

外文期刊名：EUROPEAN PHYSICAL JOURNAL PLUS

收录：SCI-EXPANDED(收录号：WOS:000612941100001)、、Scopus(收录号：2-s2.0-85099842335)、WOS

基金：This work is supported by the National Natural Science Foundation of China Nos. 11775146 and 11835011. The authors are indebted to thank S.Y. Lou for useful discussions.

语种：英文

外文摘要：The wave motion equation is one of the fundamental equations to describe vibrations of continuous systems. The D'Alembert solution of the wave motion equation is an important basic formula in linear partial differential equations. The study of the D'Alembert wave deserves deep consideration in nonlinear equations. In this paper, the D'Alembert-type wave of the (2 + 1)-dimensional modified Nizhnik-Novikov-Veselov (mNNV) equation is derived by the Ansatze method. The Hirota bilinear form of the mNNV equation is constructed by introducing the dependent variable transformation. The multi-soliton solution is obtained by solving the corresponding bilinear form. By combining the velocity resonance mechanism, a three-soliton molecule, the interaction between a soliton molecule and one soliton, and the interaction between a soliton-solitoff molecule and one soliton of the mNNV equation are obtained. The dynamics of these solutions are shown by selecting the appropriate parameters. These phenomena for the mNNV equation have not yet been given via other methods.