The Cauchy Problem to a Shallow Water Wave Equation with a Weakly Dissipative Term

A shallow water wave equation with a weakly dissipative term, which includes the weakly dissipative Camassa-Holm and the weakly dissipative Degasperis-Procesi equations as special cases, is investigated. The sufficient conditions about the existence of the global strong solution are given. Provided...

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Bibliographic Details
Main Authors: Ying Wang, YunXi Guo
Format: Article
Language:English
Published: Wiley 2012-01-01
Series:Abstract and Applied Analysis
Online Access:http://dx.doi.org/10.1155/2012/840919
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