6533b82efe1ef96bd12928b4

RESEARCH PRODUCT

Global conservative and multipeakon conservative solutions for the modified camassa-holm system with coupling effects

Yongduan SongHamid Reza KarimiYujuan WangHuabin Wen

subject

CouplingArticle SubjectComputer sciencelcsh:MathematicsGeneral MathematicsVDP::Technology: 500::Mechanical engineering: 570General EngineeringBreaking wavelcsh:QA1-939symbols.namesakeTransformation (function)Engineering (all)lcsh:TA1-2040symbolsCalculusApplied mathematicsMathematics (all)lcsh:Engineering (General). Civil engineering (General)LagrangianMathematics (all); Engineering (all)

description

Published version of an article in the journal: Mathematical Problems in Engineering. Also available from the publisher at: http://dx.doi.org/10.1155/2014/606249 This paper investigates the continuation of solutions to the modified coupled two-component Camassa-Holm system after wave breaking. The underlying problem is rather challenging due to the mutual coupling effect between two components in the system. By introducing a novel transformation that makes use of a skillfully defined characteristic and a set of newly defined variables, the original system is converted into a Lagrangian equivalent system, from which the global conservative solution is obtained, which further allows for the establishment of the multipeakon conservative solution of the system. The results obtained herein are deemed useful for understanding the inevitable phenomenon near wave breaking. © 2014 Huabin Wen et al.

yearjournalcountryeditionlanguage
2014-01-01
http://hdl.handle.net/11250/279481