Darboux transformation and new soliton solutions for the (2+1)-dimensional complex modified Korteweg-de Vries and Maxwell-Bloch equations

摘要

In this paper, we focus on the (2 + 1)-dimensional complex modified Korteweg-de Vries and Maxwell-Bloch (CMKdV-MB) equations. According to the relevant Lax pair, the n-fold Darboux transformation (DT) is constructed. In addition, via the DT and symbolic computation, two different kinds of soliton solutions are derived from trivial seed solutions. Meanwhile, the dynamic features of soliton solutions are graphically analyzed.