Multicomponent integrable wave equations: I. Darboux-dressing transformation

Antonio Degasperis, Sara Lombardo

Research output: Contribution to journalArticlepeer-review

64 Citations (Scopus)

Abstract

The Darboux-dressing transformations are applied to the Lax pair associated with 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 Schrödinger-type equations and three resonant wave equations, are considered.
Original languageEnglish
Pages (from-to)961-977
JournalJournal of Physics A: Mathematical and Theoretical
Volume40
Issue number5
DOIs
Publication statusPublished - Jan 2007

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