Initial Boundary Value Problem and Asymptotic Stabilization of the Two-Component Camassa-Holm Equation

The nonhomogeneous initial boundary value problem for the two-component Camassa-Holm equation, which describes a generalized formulation for the shallow water wave equation, on an interval is investigated. A local in time existence theorem and a uniqueness result are achieved. Next by using the fixe...

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Bibliographic Details
Main Authors: Xiju Zong, Xingong Cheng, Zhonghua Wang, Zhenlai Han
Format: Article
Language:English
Published: Hindawi Limited 2011-01-01
Series:Abstract and Applied Analysis
Online Access:http://dx.doi.org/10.1155/2011/635851