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Original Articles

The Generalized Version of Dressing Method with Applications to AKNS Equations

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Pages 81-89 | Received 12 Apr 2005, Accepted 07 Jun 2005, Published online: 21 Jan 2013
 

Abstract

The generalized dressing method is extended to variable-coefficient AKNS equations, including a variable-coefficient coupled nonlinear Schrödinger equation and a variable-coefficient coupled mKdV equation. A general variable-coefficient KP equation is proposed and decomposed into the two 1+1 dimensional variable-coefficient soliton equations. As applications, we obtain exact solutions of these variable-coefficient soliton equations in 1+1- and 2+1- dimensions.

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