Soliton solutions of the (2+1)-dimensional complex modified Korteweg-de Vries and Maxwell-Bloch equations
[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.
[发布日期] [发布机构] Eurasian International Center for Theoretical Physics, Department of Higher Mathematics, L.N. Gumilyov Eurasian National University, Astana; 010008, Kazakhstan^1
[效力级别] 数学 [学科分类]
[关键词] Darboux transformations;Korteweg-de Vries;Lax pairs;Maxwell-bloch;Maxwell-Bloch equation;Soliton solutions [时效性]
