On the dressing method for the generalised Zakharov-Shabat system

Rossen Ivanov

doi:10.1016/j.nuclphysb.2004.06.039

On the dressing method for the generalised Zakharov-Shabat system

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Abstract

The dressing procedure for the generalised Zakharov-Shabat system is well known for systems, related to sl(N) algebras. We extend the method, constructing explicitly the dressing factors for some systems, related to orthogonal and symplectic Lie algebras. We consider 'dressed' fundamental analytical solutions with simple poles at the prescribed eigenvalue points and obtain the corresponding Lax potentials, representing the soliton solutions for some important nonlinear evolution equations.

Original language	English
Pages (from-to)	509-524
Number of pages	16
Journal	Nuclear Physics B
Volume	694
Issue number	3
DOIs	https://doi.org/10.1016/j.nuclphysb.2004.06.039 https://doi.org/10.21427/7h4z-e280
Publication status	Published - 30 Aug 2004
Externally published	Yes

Keywords

Inverse scattering method
Nonlinear evolution equations
Solitons

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title = "On the dressing method for the generalised Zakharov-Shabat system",

abstract = "The dressing procedure for the generalised Zakharov-Shabat system is well known for systems, related to sl(N) algebras. We extend the method, constructing explicitly the dressing factors for some systems, related to orthogonal and symplectic Lie algebras. We consider 'dressed' fundamental analytical solutions with simple poles at the prescribed eigenvalue points and obtain the corresponding Lax potentials, representing the soliton solutions for some important nonlinear evolution equations.",

keywords = "Inverse scattering method, Nonlinear evolution equations, Solitons",

author = "Rossen Ivanov",

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AU - Ivanov, Rossen

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Y1 - 2004/8/30

N2 - The dressing procedure for the generalised Zakharov-Shabat system is well known for systems, related to sl(N) algebras. We extend the method, constructing explicitly the dressing factors for some systems, related to orthogonal and symplectic Lie algebras. We consider 'dressed' fundamental analytical solutions with simple poles at the prescribed eigenvalue points and obtain the corresponding Lax potentials, representing the soliton solutions for some important nonlinear evolution equations.

AB - The dressing procedure for the generalised Zakharov-Shabat system is well known for systems, related to sl(N) algebras. We extend the method, constructing explicitly the dressing factors for some systems, related to orthogonal and symplectic Lie algebras. We consider 'dressed' fundamental analytical solutions with simple poles at the prescribed eigenvalue points and obtain the corresponding Lax potentials, representing the soliton solutions for some important nonlinear evolution equations.

KW - Inverse scattering method

KW - Nonlinear evolution equations

KW - Solitons

UR - https://www.scopus.com/pages/publications/4043068056

U2 - 10.1016/j.nuclphysb.2004.06.039

DO - 10.1016/j.nuclphysb.2004.06.039

M3 - Article

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SN - 0550-3213

VL - 694

SP - 509

EP - 524

JO - Nuclear Physics B

JF - Nuclear Physics B

IS - 3

ER -

On the dressing method for the generalised Zakharov-Shabat system

Abstract

Keywords

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