文献类型：期刊文献

中文题名：Soliton molecules and the CRE method in the extended mKdV equation

作者：Bo Ren[1];Ji Lin[2];Ping Liu[3]

机构：[1]Institute of Nonlinear Science,Shaoxing University,Shaoxing,312000,China;[2]Department of Physics,Zhejiang Normal University,Jinhua,321004,China;[3]College of Electron and Information Engineering,University of Electronic Science and Technology of China Zhongshan Institute,Zhongshan,528402,China

年份：2020

卷号：72

期号：5

起止页码：41

中文期刊名：理论物理通讯：英文版

收录：CSTPCD、、Scopus、CSCD2019_2020、CSCD、PubMed

基金：supported by the National Natural Science Foundation of China Grant Nos.11775146,11305106,11975156,11775047 and 11835011。

语种：英文

中文关键词：extended mKdV equation;soliton molecule;CRE method;nonlocal symmetry

中文摘要：The soliton molecules of the(1+1)-dimensional extended modified Korteweg–de Vries(mKdV)system are obtained by a new resonance condition,which is called velocity resonance.One soliton molecule and interaction between a soliton molecule and one-soliton are displayed by selecting suitable parameters.The soliton molecules including the bright and bright soliton,the dark and bright soliton,and the dark and dark soliton are exhibited in figures 1–3,respectively.Meanwhile,the nonlocal symmetry of the extended mKdV equation is derived by the truncated Painlevémethod.The consistent Riccati expansion(CRE)method is applied to the extended mKdV equation.It demonstrates that the extended mKdV equation is a CRE solvable system.A nonauto-B?cklund theorem and interaction between one-soliton and cnoidal waves are generated by the CRE method.