Lax representation and soliton solutions for the (2+1) -dimensional two-component complex modified Korteweg-de Vries equations

24th International Conference on Integrable Systems and Quantum symmetries

Bekova, G.T.^1 ; Shaikhova, G.N.^1 ; Yesmakhanova, K.R.^1 ; Myrzakulov, R.^1

Eurasian International Center for Theoretical Physics, Department of General AndTheoretical Physics, Eurasian National University, Astana

010008, Kazakhstan^1

关键词: Ablowitz-Kaup-Newell-Segur systems;    Darboux transformation method;    Korteweg-de Vries;    Lax representation;    Modified korteweg-de vries equations;    Soliton solutions;    Two-component;   

Others  :  https://iopscience.iop.org/article/10.1088/1742-6596/804/1/012004/pdf
DOI  :  10.1088/1742-6596/804/1/012004

来源: IOP

【 摘 要 】

Under investigation in this paper is the (2+1) -dimensional two-component complex modified Korteweg-de Vries (tcmKdV) equations. Based on the Ablowitz-Kaup-Newell-Segur system, the a new Lax representation is derived of the tcmKdV equations. By Darboux transformation method soliton solutions for the tcmKdV equations are obtained, respectively.