A Green's function for a linear equation associated with solitons

J. P. Keener; D. W. McLaughlin

doi:10.1063/1.523174

A Green's function for a linear equation associated with solitons

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Abstract

A linear equation associated with nonlinear wave equations which support solitons is analyzed. A complete set of solutions of this linear equation is described through the techniques of scattering theory. This set is used to construct an explicit representation of a Green's function for perturbation theory. The cases of the nonlinear Schrödinger and sine-Gordon equations are discussed in some detail.

Original language	English (US)
Pages (from-to)	2008-2013
Number of pages	6
Journal	Journal of Mathematical Physics
Volume	18
Issue number	10
DOIs	https://doi.org/10.1063/1.523174
State	Published - 1976

ASJC Scopus subject areas

Statistical and Nonlinear Physics
Mathematical Physics

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10.1063/1.523174

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title = "A Green's function for a linear equation associated with solitons",

abstract = "A linear equation associated with nonlinear wave equations which support solitons is analyzed. A complete set of solutions of this linear equation is described through the techniques of scattering theory. This set is used to construct an explicit representation of a Green's function for perturbation theory. The cases of the nonlinear Schr{\"o}dinger and sine-Gordon equations are discussed in some detail.",

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year = "1976",

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AB - A linear equation associated with nonlinear wave equations which support solitons is analyzed. A complete set of solutions of this linear equation is described through the techniques of scattering theory. This set is used to construct an explicit representation of a Green's function for perturbation theory. The cases of the nonlinear Schrödinger and sine-Gordon equations are discussed in some detail.

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JF - Journal of Mathematical Physics

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A Green's function for a linear equation associated with solitons

Abstract

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