Global Conservative and Multipeakon Conservative Solutions for the Modified Camassa-Holm System with Coupling Effects | Zendy

Huabin Wen | Zendy; Yujuan Wang | Zendy; Yongduan Song | Zendy; Hamid Reza Karimi | Zendy

AI Assistant Blog Pricing

Home ZAIA Blog

Open Access

Global Conservative and Multipeakon Conservative Solutions for the Modified Camassa-Holm System with Coupling Effects

Author(s) -

Huabin Wen,

Yujuan Wang,

Yongduan Song,

Hamid Reza Karimi

Publication year - 2014

Publication title -

mathematical problems in engineering

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.262

H-Index - 62

eISSN - 1026-7077

pISSN - 1024-123X

DOI - 10.1155/2014/606249

Subject(s) - continuation , coupling (piping) , transformation (genetics) , set (abstract data type) , component (thermodynamics) , breaking wave , phenomenon , lagrangian , camassa–holm equation , mathematics , computer science , mathematical analysis , engineering , physics , mechanical engineering , thermodynamics , chemistry , optics , integrable system , biochemistry , quantum mechanics , wave propagation , gene , programming language

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

The content you want is available to Zendy users.

Already have an account? Click here to sign in.

Having issues? You can contact us here

Accelerating Research