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RESEARCH PRODUCT

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

Yujuan WangHamid Reza KarimiYongduan SongZhixi Shen

subject

PhysicsEnergy lossPartial differential equationArticle SubjectDifferential equationlcsh:MathematicsGeneral MathematicsGeneral EngineeringBreaking waveMechanicslcsh:QA1-939Waves and shallow waterlcsh:TA1-2040Dissipative systemGeotechnical engineeringVDP::Matematikk og Naturvitenskap: 400::Matematikk: 410::Analyse: 411lcsh:Engineering (General). Civil engineering (General)

description

Published version of an article in the journal: Mathematical Problems in Engineering. Also available from the publisher at: http://dx.doi.org/10.1155/2013/107450 Open Access 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.

yearjournalcountryeditionlanguage
2013-01-01Mathematical Problems in Engineering
https://doi.org/10.1155/2013/107450