Darboux transformation and explicit solutions for some ()-dimensional equations

Abstract

Abstract Three systems of ( 2 + 1 ) -dimensional soliton equations and their decompositions into the ( 1 + 1 ) -dimensional soliton equations are proposed. These equations include KPI, CKP, MKPI. With the help of Darboux transformation of ( 1 + 1 ) -dimensional equations, we get the explicit solutions of the ( 2 + 1 ) -dimensional equations.