Multicomponent integrable wave equations I. Darboux-Dressing Transformation

Abstract

The Darboux-Dressing Transformations are applied to the Lax pair associated to systems of coupled nonlinear wave equations in the case of boundary values which are appropriate to both bright and dark soliton solutions. The general formalism is set up and the relevant equations are explicitly solved. Several instances of multicomponent wave equations of applicative interest, such as vector nonlinear Schroedinger-type equations and three resonant wave equations are considered.

23 pages, standard LaTeX2e, submitted for publication

References in corpus (2)

• Stable Control of Pulse Speed in Parametric Three-Wave Solitons
• Exact solutions of the 3-wave resonant interaction equation

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