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

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

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 © 2010 IOP Publishing Ltd.

Original language	English
Pages (from-to)	961-977
Number of pages	16
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

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title = "Multicomponent integrable wave equations: I. Darboux-dressing transformation",

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 {\textcopyright} 2010 IOP Publishing Ltd.",

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AU - Lombardo, S.

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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 © 2010 IOP Publishing Ltd.

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DO - 10.1088/1751-8113/40/5/007

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EP - 977

JO - Journal of Physics A: Mathematical and Theoretical

JF - Journal of Physics A: Mathematical and Theoretical

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ER -

Multicomponent integrable wave equations: I. Darboux-dressing transformation

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