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

2017

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DOI 10.1088/1742-6596/936/1/012045
Data confidence 70 medium
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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.