Orbital Stability of Solitary Traveling Waves of Moderate Amplitude
Author
Source
Advances in Mathematical Physics
Issue
Vol. 2015, Issue 2015 (31 Dec. 2015), pp.1-7, 7 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2015-02-09
Country of Publication
Egypt
No. of Pages
7
Main Subjects
Abstract EN
We consider the orbital stability of solitary traveling wave solutions of an equation describing the free surface waves of moderate amplitude in the shallow water regime.
Firstly, we rewrite this equation in Hamiltonian form and construct two invariants of motion.
Then using the abstract stability theorem of solitary waves proposed by Grillakis et al.
(1987), we prove that the solitary traveling waves of the equation under consideration are orbital stable.
American Psychological Association (APA)
Ouyang, Zheng-yong. 2015. Orbital Stability of Solitary Traveling Waves of Moderate Amplitude. Advances in Mathematical Physics،Vol. 2015, no. 2015, pp.1-7.
https://search.emarefa.net/detail/BIM-1053049
Modern Language Association (MLA)
Ouyang, Zheng-yong. Orbital Stability of Solitary Traveling Waves of Moderate Amplitude. Advances in Mathematical Physics No. 2015 (2015), pp.1-7.
https://search.emarefa.net/detail/BIM-1053049
American Medical Association (AMA)
Ouyang, Zheng-yong. Orbital Stability of Solitary Traveling Waves of Moderate Amplitude. Advances in Mathematical Physics. 2015. Vol. 2015, no. 2015, pp.1-7.
https://search.emarefa.net/detail/BIM-1053049
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1053049