Time-Periodic Solution of the Weakly Dissipative Camassa-Holm Equation

This paper is concerned with time-periodic solution of the weakly dissipative Camassa-Holm equation with a periodic boundary condition. The existence and uniqueness of a time periodic solution is presented.

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Main Author: Chunyu Shen
Format: Article
Language:English
Published: Wiley 2011-01-01
Series:International Journal of Differential Equations
Online Access:http://dx.doi.org/10.1155/2011/463416
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author Chunyu Shen
author_facet Chunyu Shen
author_sort Chunyu Shen
collection DOAJ
description This paper is concerned with time-periodic solution of the weakly dissipative Camassa-Holm equation with a periodic boundary condition. The existence and uniqueness of a time periodic solution is presented.
format Article
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institution Kabale University
issn 1687-9643
1687-9651
language English
publishDate 2011-01-01
publisher Wiley
record_format Article
series International Journal of Differential Equations
spelling doaj-art-385196e17d834143a9883a96c76d78a32025-02-03T01:07:52ZengWileyInternational Journal of Differential Equations1687-96431687-96512011-01-01201110.1155/2011/463416463416Time-Periodic Solution of the Weakly Dissipative Camassa-Holm EquationChunyu Shen0Nonlinear Scientific Research Center, Jiangsu University, Xuefu Road 301, Zhenjiang, Jiangsu 212013, ChinaThis paper is concerned with time-periodic solution of the weakly dissipative Camassa-Holm equation with a periodic boundary condition. The existence and uniqueness of a time periodic solution is presented.http://dx.doi.org/10.1155/2011/463416
spellingShingle Chunyu Shen
Time-Periodic Solution of the Weakly Dissipative Camassa-Holm Equation
International Journal of Differential Equations
title Time-Periodic Solution of the Weakly Dissipative Camassa-Holm Equation
title_full Time-Periodic Solution of the Weakly Dissipative Camassa-Holm Equation
title_fullStr Time-Periodic Solution of the Weakly Dissipative Camassa-Holm Equation
title_full_unstemmed Time-Periodic Solution of the Weakly Dissipative Camassa-Holm Equation
title_short Time-Periodic Solution of the Weakly Dissipative Camassa-Holm Equation
title_sort time periodic solution of the weakly dissipative camassa holm equation
url http://dx.doi.org/10.1155/2011/463416
work_keys_str_mv AT chunyushen timeperiodicsolutionoftheweaklydissipativecamassaholmequation