Soliton molecules for combined mKdV-type bilinear equation

作     者：Zhang-Xuan Zhao Lu-Wei Zhang Wei Yang Xue-Ping Cheng Zhang-Xuan Zhao;Lu-Wei Zhang;Wei Yang;Xue-Ping Cheng

作者机构：School of Information EngineeringZhejiang Ocean UniversityZhoushan 316022China Key Laboratory of Oceanographic Big Data Mining&Application of Zhejiang ProvinceZhoushan 316022China 

出 版 物：《Communications in Theoretical Physics》 (理论物理通讯（英文版）)

年 卷 期：2023年第75卷第10期

页      面：1-9页

核心收录：

学科分类：07[理学] 070104[理学-应用数学] 0701[理学-数学] 

基　　金：the National Natural Science Foundation of China(Grant Nos.11975204 and 12075208) the Project of Zhoushan City Science and Technology Bureau(Grant No.2021C21015) the Training Program for Leading Talents in Universities of Zhejiang Province 

主　　题：soliton molecule combined mKdV-type bilinear equation Hirota bilinear method velocity resonance mechanism 

摘      要：Starting from the multi-soliton solutions obtained by the Hirota bilinear method,the soli ton molecule structures for the combined mKdV-type bilinear equation(Dt+∑n=1NαnDx2n+1)f*·f=0 are investigated using the velocity resonance *** two-soliton molecules of the mKdV-35 equation and the three-soliton molecules of the mKdV-357 equation are specifically demonstrated in this *** particular selections of the involved arbitrary parameters,especially the wave numbers,it is confirmed that,besides the usual multi-bright soliton molecules,the multi-dark soliton molecules and the mixed multibright-dark soliton molecules can also be *** addition,we discuss the existence of the multi-soliton molecules for the combined mKdV-type bilinear equation with more higher order nonlinear terms and *** results demonstrate that when N≥4,the combined mKdVtype bilinear equation no longer admits soliton molecules comprising more than four solitons.