Existence and uniqueness of a periodic solution to the two-dimensional generalized Korteweg-de Vries equation
type: Item
instance of: scholarly article
title: Existence and uniqueness of a periodic solution to the two-dimensional generalized Korteweg-de Vries equation
zbMATH Open document ID: 0754.35152
author: Daxin Wu
author: Shih-Liang Wen
published in: Rendiconti del Seminario Matematico della Università di Padova
publication date: 1992-09-27T00:00:00Z
full work available at URL: http://www.numdam.org/item
full work available at URL: https://eudml.org/doc/108244
review text: The authors prove the existence and uniqueness of the periodic (in space variables) classical solution for the initial problem for the two- dimensional generalized Korteweg-de Vries equation.
Mathematics Subject Classification ID: 35Q53
Mathematics Subject Classification ID: 35B10
zbMATH DE Number: 60482
zbMATH Keywords: existence
zbMATH Keywords: uniqueness
zbMATH Keywords: initial problem
MaRDI profile type: Publication
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cites work: The Korteweg–deVries Equation: A Survey of Results
cites work: Periodic solutions of Kadomtsev-Petviashvili
cites work: Q5752950
cites work: A uniqueness theorem for the two-dimensional generalized Korteweg de- Vries equation
cites work: Interaction of "Solitons" in a Collisionless Plasma and the Recurrence of Initial States
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description: scientific article; zbMATH DE number 60482