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Global Conservative and Multipeakon Conservative Solutions for the Modified Camassa-Holm System with Coupling Effects
Joint Authors
Wang, Yujuan
Wen, Huabin
Karimi, Hamid Reza
Song, Yongduan
Source
Mathematical Problems in Engineering
Issue
Vol. 2014, Issue 2014 (31 Dec. 2014), pp.1-17, 17 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2014-04-24
Country of Publication
Egypt
No. of Pages
17
Main Subjects
Abstract EN
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.
American Psychological Association (APA)
Wen, Huabin& Wang, Yujuan& Song, Yongduan& Karimi, Hamid Reza. 2014. Global Conservative and Multipeakon Conservative Solutions for the Modified Camassa-Holm System with Coupling Effects. Mathematical Problems in Engineering،Vol. 2014, no. 2014, pp.1-17.
https://search.emarefa.net/detail/BIM-484549
Modern Language Association (MLA)
Wen, Huabin…[et al.]. Global Conservative and Multipeakon Conservative Solutions for the Modified Camassa-Holm System with Coupling Effects. Mathematical Problems in Engineering No. 2014 (2014), pp.1-17.
https://search.emarefa.net/detail/BIM-484549
American Medical Association (AMA)
Wen, Huabin& Wang, Yujuan& Song, Yongduan& Karimi, Hamid Reza. Global Conservative and Multipeakon Conservative Solutions for the Modified Camassa-Holm System with Coupling Effects. Mathematical Problems in Engineering. 2014. Vol. 2014, no. 2014, pp.1-17.
https://search.emarefa.net/detail/BIM-484549
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-484549