The Well-Posedness of Solutions for a Generalized Shallow Water Wave Equation

A nonlinear partial differential equation containing the famous Camassa-Holm and Degasperis-Procesi equations as special cases is investigated. The Kato theorem for abstract differential equations is applied to establish the local well-posedness of solutions for the equation in the Sobolev space Hs(...

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Bibliographic Details
Main Authors: Shaoyong Lai, Aiyin Wang
Format: Article
Language:English
Published: Wiley 2012-01-01
Series:Abstract and Applied Analysis
Online Access:http://dx.doi.org/10.1155/2012/872187
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