Korteweg-de Vries equation with finite-gap boundary conditions, and the Whitham deformations of Riemann surfaces
type: Item
instance of: scholarly article
title: Korteweg-de Vries equation with finite-gap boundary conditions, and the Whitham deformations of Riemann surfaces
zbMATH Open document ID: 0716.35073
DOI: 10.1007/BF01078940
publication date: 1989-01-01T00:00:00Z
review text: The Cauchy problem is considered for the KdV equation with the initial data tending quickly to their asymptotic values, and the behaviour of its solution is described as \(t\to +\infty\). The latter asymptotics is found to represent a Whitham deformation with no creation or annihilation of spectral zones. The solution involves a specific choice of the Whitham path and phase shift.
Mathematics Subject Classification ID: 35Q53
Mathematics Subject Classification ID: 35Q15
Mathematics Subject Classification ID: 35B40
zbMATH DE Number: 4179963
zbMATH Keywords: Cauchy problem
zbMATH Keywords: Whitham deformation
author: Ramil' F. Bikbaev
reviewed by: Nikolai V. Mitskievich
MaRDI profile type: Publication
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full work available at URL: https://doi.org/10.1007/bf01078940
OpenAlex ID: W2010844941
published in: Functional Analysis and Its Applications
description: scientific article; zbMATH DE number 4179963