Nonlocal symmetries,soliton-cnoidal wave solution and soliton molecules to a(2+1)-dimensional modified KdV system  

作　　者：Jianyong Wang Bo Ren 

机构地区：[1]Department of Mathematics and Physics,Quzhou University,Quzhou 324000,China [2]Department of Mathematics,Zhejiang University of Technology,Hangzhou 310014,China

出　　处：《Communications in Theoretical Physics》2024年第4期14-21,共8页理论物理通讯（英文版）

基　　金：supported by the National Natural Science Foundation of China(No.12375006).

摘　　要：A(2+1)-dimensional modified KdV(2DmKdV)system is considered from several perspectives.Firstly,residue symmetry,a type of nonlocal symmetry,and the Bäcklund transformation are obtained via the truncated Painlevéexpansion method.Subsequently,the residue symmetry is localized to a Lie point symmetry of a prolonged system,from which the finite transformation group is derived.Secondly,the integrability of the 2DmKdV system is examined under the sense of consistent tanh expansion solvability.Simultaneously,explicit soliton-cnoidal wave solutions are provided.Finally,abundant patterns of soliton molecules are presented by imposing the velocity resonance condition on the multiple-soliton solution.

关 键 词：soliton-cnoidal wave solution nonlocal symmetry soliton molecule (2+1)-dimensional modified KdV system 

分 类 号：O175[理学—数学]