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Darboux transformation and soliton solution for the (2+1)-dimensional complex modified Korteweg-de Vries equations

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, , Citation K Yesmakhanova et al 2017 J. Phys.: Conf. Ser. 936 012045 DOI 10.1088/1742-6596/936/1/012045

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kryesmakhanova@gmail.com

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1 Eurasian International Center for Theoretical Physics and Department of Higher Mathematics, Eurasian National University, Astana, 010000, Kazakhstan

2 Eurasian International Center for Theoretical Physics and Department of General Theoretical Physics, Eurasian National University, Astana, 010000, Kazakhstan

3 Kh. Dosmukhamedov Atyrau state university, Atyrau, Kazakhstan, 060000, Kazakhstan

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1742-6596/936/1/012045

Abstract

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

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10.1088/1742-6596/936/1/012045