Multicomponent integrable wave equations: I. Darboux-dressing transformation

A. Degasperis*, S. Lombardo

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

79 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 bŕight' and dárk' 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 Schr̈odinger-type equations and three resonant wave equations, are considered

Original languageEnglish
Pages (from-to)961-977
Number of pages17
JournalJournal of Physics A: Mathematical and Theoretical
Volume40
Issue number5
DOIs
Publication statusPublished - 2 Feb 2007

ASJC Scopus subject areas

  • Statistical and Nonlinear Physics
  • Statistics and Probability
  • Modelling and Simulation
  • Mathematical Physics
  • General Physics and Astronomy

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