An extended(2+1)-dimensional modified Korteweg-de Vries-Calogero-Bogoyavlenskii-Schiff equation:Lax pair and Darboux transformation  

作　　者：Li Cheng Yi Zhang Wen-Xiu Ma 

机构地区：[1]Normal College,Jinhua University of Vocational Technology,Jinhua 321007,Zhejiang,China [2]Key Laboratory of Crop Harvesting Equipment Technology,Jinhua University of Vocational Technology,Jinhua 321007,Zhejiang,China [3]Department of Mathematics,Zhejiang Normal University,Jinhua 321004,Zhejiang,China [4]Department of Mathematics,King Abdulaziz University,Jeddah 21589,Saudi Arabia [5]Department of Mathematics and Statistics,University of South Florida,Tampa,FL 33620-5700,United States of America [6]Material Science Innovation and Modelling,Department of Mathematical Sciences,North-West University,Mafikeng Campus,Mmabatho 2735,South Africa

出　　处：《Communications in Theoretical Physics》2025年第3期12-20,共9页理论物理通讯(英文版)

基　　金：supported by the National Natural Science Foundation of China(Grant No.12271488)。

摘　　要：The aim of this paper is to study an extended modified Korteweg-de Vries-Calogero-Bogoyavlenskii-Schiff(mKdV-CBS)equation and present its Lax pair with a spectral parameter.Meanwhile,a Miura transformation is explored,which reveals the relationship between solutions of the extended mKdV-CBS equation and the extended(2+1)-dimensional Korteweg-de Vries(KdV)equation.On the basis of the obtained Lax pair and the existing research results,the Darboux transformation is derived,which plays a crucial role in presenting soliton solutions.In addition,soliton molecules are given by the velocity resonance mechanism.

关 键 词：extended mKdV-CBS equation Lax pair Darboux transformation soliton solution 

分 类 号：O175.29[理学—数学]