Soliton solutions of the (2+1)-dimensional complex modified Korteweg-de Vries and Maxwell-Bloch equations

5th International Conference on Mathematical Modeling in Physical Sciences

物理学;数学

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

Eurasian International Center for Theoretical Physics, Department of Higher Mathematics, L.N. Gumilyov Eurasian National University, Astana

010008, Kazakhstan^1

关键词: Darboux transformations;    Korteweg-de Vries;    Lax pairs;    Maxwell-bloch;    Maxwell-Bloch equation;    Soliton solutions;   

Others  :  https://iopscience.iop.org/article/10.1088/1742-6596/738/1/012018/pdf
DOI  :  10.1088/1742-6596/738/1/012018

来源: IOP

【 摘 要 】

In this paper, we consider the (2+1)-dimensional complex modified Korteweg-de Vries and Maxwell-Bloch (cmKdVMB) equations. Lax pairs of cmKdVMB equations are presented. Using the Lax pair, we construct a Darboux transformation and namely one-fold transformations. The soliton solutions are obtained from the different "seeds" by using this Darboux transformation.