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

作者：Guo, Rui^*; Zhou, Run; Zhang, Xiao-Mei; Chai, Yu-Zhen

来源：Modern Physics Letters B, 2018, 32(23): 1850277.

DOI：10.1142/S0217984918502779

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

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.

• 出版日期2018-8-20
• 单位太原理工大学