Global Conservative Solutions of a Generalized Two-Component Camassa-Holm System
The Cauchy problem for a generalized two-component Camassa-Holm system is investigated. Following the idea of fixed points and using new sets of independent and dependent variables, the existence of the global conservative solutions for the system is established.
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Format: | Article |
Language: | English |
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Wiley
2014-01-01
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Series: | Journal of Applied Mathematics |
Online Access: | http://dx.doi.org/10.1155/2014/613851 |
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author | Feng Zhang Han Yang Yonghong Wu |
author_facet | Feng Zhang Han Yang Yonghong Wu |
author_sort | Feng Zhang |
collection | DOAJ |
description | The Cauchy problem for a generalized two-component Camassa-Holm system is investigated. Following the idea of fixed points and using new sets of independent and dependent variables, the existence of the global conservative solutions for the system is established. |
format | Article |
id | doaj-art-e961f0d2e8eb44b7a630fe23df84d3ba |
institution | Kabale University |
issn | 1110-757X 1687-0042 |
language | English |
publishDate | 2014-01-01 |
publisher | Wiley |
record_format | Article |
series | Journal of Applied Mathematics |
spelling | doaj-art-e961f0d2e8eb44b7a630fe23df84d3ba2025-02-03T01:33:17ZengWileyJournal of Applied Mathematics1110-757X1687-00422014-01-01201410.1155/2014/613851613851Global Conservative Solutions of a Generalized Two-Component Camassa-Holm SystemFeng Zhang0Han Yang1Yonghong Wu2School of Mathematics, Southwest Jiaotong University, Chengdu 610031, ChinaSchool of Mathematics, Southwest Jiaotong University, Chengdu 610031, ChinaDepartment of Mathematics and Statistics, Curtin University, Perth, WA 6845, AustraliaThe Cauchy problem for a generalized two-component Camassa-Holm system is investigated. Following the idea of fixed points and using new sets of independent and dependent variables, the existence of the global conservative solutions for the system is established.http://dx.doi.org/10.1155/2014/613851 |
spellingShingle | Feng Zhang Han Yang Yonghong Wu Global Conservative Solutions of a Generalized Two-Component Camassa-Holm System Journal of Applied Mathematics |
title | Global Conservative Solutions of a Generalized Two-Component Camassa-Holm System |
title_full | Global Conservative Solutions of a Generalized Two-Component Camassa-Holm System |
title_fullStr | Global Conservative Solutions of a Generalized Two-Component Camassa-Holm System |
title_full_unstemmed | Global Conservative Solutions of a Generalized Two-Component Camassa-Holm System |
title_short | Global Conservative Solutions of a Generalized Two-Component Camassa-Holm System |
title_sort | global conservative solutions of a generalized two component camassa holm system |
url | http://dx.doi.org/10.1155/2014/613851 |
work_keys_str_mv | AT fengzhang globalconservativesolutionsofageneralizedtwocomponentcamassaholmsystem AT hanyang globalconservativesolutionsofageneralizedtwocomponentcamassaholmsystem AT yonghongwu globalconservativesolutionsofageneralizedtwocomponentcamassaholmsystem |