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Quasi-stationary perturbations of the KdV soliton

Russell L Herman

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In this paper we show how the results of quasi-stationary perturbation theory relate to those based upon squared eigenfunction expansions. We show that the two give the same results for a quasi-stationary approximation and also show how standard adiabatic perturbation theory connects to the quasi-stationary theory.


PACS

05.45.Yv Solitons

02.30.Mv Approximations and expansions

02.30.Jr Partial differential equations

MSC

35Q51 Solitons (See also 37K40)

35P10 Completeness of eigenfunctions, eigenfunction expansions for PDO

35B20 Perturbations

35Q53 KdV-like equations (Korteweg-de Vries, Burgers, sine-Gordon, sinh-Gordon, etc.) (See also 37K10)

Subjects

Mathematical physics

Statistical physics and nonlinear systems

Dates

Issue 17 (30 April 2004)

Received 1 January 2004, in final form 9 March 2004

Published 14 April 2004



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