会议论文详细信息
5th International Conference on Mathematical Modeling in Physical Sciences | |
Soliton solutions of the (2+1)-dimensional complex modified Korteweg-de Vries and Maxwell-Bloch equations | |
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 |
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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.
【 预 览 】
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Soliton solutions of the (2+1)-dimensional complex modified Korteweg-de Vries and Maxwell-Bloch equations | 1080KB | download |