On the Multipeakon Dissipative Behavior of the Modified Coupled Camassa-Holm Model for Shallow Water System

On the Multipeakon Dissipative Behavior of the Modified Coupled Camassa-Holm Model for Shallow Water System

This paper investigates the multipeakon dissipative behavior of the modified coupled two-component Camassa-Holm system arisen from shallow water waves moving. To tackle this problem, we convert the original partial differential equations into a set of new differential equations by using skillfully d...

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Main Authors: Zhixi Shen, Yujuan Wang, Hamid Reza Karimi, Yongduan Song
Format: Article
Language:English
Published: Hindawi Limited 2013-01-01
Series:Mathematical Problems in Engineering
Online Access:http://dx.doi.org/10.1155/2013/107450
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spelling doaj-a8310cfed3ea47afa8f1da5bc476b1b22020-11-24T21:24:41ZengHindawi LimitedMathematical Problems in Engineering1024-123X1563-51472013-01-01201310.1155/2013/107450107450On the Multipeakon Dissipative Behavior of the Modified Coupled Camassa-Holm Model for Shallow Water SystemZhixi Shen0Yujuan Wang1Hamid Reza Karimi2Yongduan Song3School of Automation, Chongqing University, Chongqing 400044, ChinaSchool of Automation, Chongqing University, Chongqing 400044, ChinaDepartment of Engineering, Faculty of Technology and Science, University of Agder, N-4898 Grimstad, NorwaySchool of Automation, Chongqing University, Chongqing 400044, ChinaThis paper investigates the multipeakon dissipative behavior of the modified coupled two-component Camassa-Holm system arisen from shallow water waves moving. To tackle this problem, we convert the original partial differential equations into a set of new differential equations by using skillfully defined characteristic and variables. Such treatment allows for the construction of the multipeakon solutions for the system. The peakon-antipeakon collisions as well as the dissipative behavior (energy loss) after wave breaking are closely examined. The results obtained herein are deemed valuable for understanding the inherent dynamic behavior of shallow water wave breaking.http://dx.doi.org/10.1155/2013/107450
collection DOAJ
language English
format Article
sources DOAJ
author Zhixi Shen
Yujuan Wang
Hamid Reza Karimi
Yongduan Song
spellingShingle Zhixi Shen
Yujuan Wang
Hamid Reza Karimi
Yongduan Song
On the Multipeakon Dissipative Behavior of the Modified Coupled Camassa-Holm Model for Shallow Water System
Mathematical Problems in Engineering
author_facet Zhixi Shen
Yujuan Wang
Hamid Reza Karimi
Yongduan Song
author_sort Zhixi Shen
title On the Multipeakon Dissipative Behavior of the Modified Coupled Camassa-Holm Model for Shallow Water System
title_short On the Multipeakon Dissipative Behavior of the Modified Coupled Camassa-Holm Model for Shallow Water System
title_full On the Multipeakon Dissipative Behavior of the Modified Coupled Camassa-Holm Model for Shallow Water System
title_fullStr On the Multipeakon Dissipative Behavior of the Modified Coupled Camassa-Holm Model for Shallow Water System
title_full_unstemmed On the Multipeakon Dissipative Behavior of the Modified Coupled Camassa-Holm Model for Shallow Water System
title_sort on the multipeakon dissipative behavior of the modified coupled camassa-holm model for shallow water system
publisher Hindawi Limited
series Mathematical Problems in Engineering
issn 1024-123X
1563-5147
publishDate 2013-01-01
description This paper investigates the multipeakon dissipative behavior of the modified coupled two-component Camassa-Holm system arisen from shallow water waves moving. To tackle this problem, we convert the original partial differential equations into a set of new differential equations by using skillfully defined characteristic and variables. Such treatment allows for the construction of the multipeakon solutions for the system. The peakon-antipeakon collisions as well as the dissipative behavior (energy loss) after wave breaking are closely examined. The results obtained herein are deemed valuable for understanding the inherent dynamic behavior of shallow water wave breaking.
url http://dx.doi.org/10.1155/2013/107450
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AT hamidrezakarimi onthemultipeakondissipativebehaviorofthemodifiedcoupledcamassaholmmodelforshallowwatersystem
AT yongduansong onthemultipeakondissipativebehaviorofthemodifiedcoupledcamassaholmmodelforshallowwatersystem
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