Multicomponent integrable wave equations: I. Darboux-dressing transformation

A. Degasperis; S. Lombardo

doi:10.1088/1751-8113/40/5/007

Multicomponent integrable wave equations: I. Darboux-dressing transformation

A. Degasperis^*, S. Lombardo

^*Corresponding author for this work

School of Mathematical & Computer Sciences

Research output: Contribution to journal › Article › peer-review

81 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 language	English
Pages (from-to)	961-977
Number of pages	17
Journal	Journal of Physics A: Mathematical and Theoretical
Volume	40
Issue number	5
DOIs	https://doi.org/10.1088/1751-8113/40/5/007
Publication status	Published - 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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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 b{\'r}ight' and d{\'a}rk' 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 Sch{\"r}odinger-type equations and three resonant wave equations, are considered",

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AB - 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

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Multicomponent integrable wave equations: I. Darboux-dressing transformation

Abstract

ASJC Scopus subject areas

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