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Orbital Stability of Solitary Waves for Generalized Symmetric Regularized-Long-Wave Equations with Two Nonlinear Terms
Joint Authors
Zhang, Haiyan
Weiguo, Zhang
Li, Zhengming
Chen, Xu
Source
Journal of Applied Mathematics
Issue
Vol. 2014, Issue 2014 (31 Dec. 2014), pp.1-16, 16 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2014-05-26
Country of Publication
Egypt
No. of Pages
16
Main Subjects
Abstract EN
This paper investigates the orbital stability of solitary waves for the generalized symmetric regularized-long-wave equations with two nonlinear terms and analyzes the influence of the interaction between two nonlinear terms on the orbital stability.
Since J is not onto, Grillakis-Shatah-Strauss theory cannot be applied on the system directly.
We overcome this difficulty and obtain the general conclusion on orbital stability of solitary waves in this paper.
Then, according to two exact solitary waves of the equations, we deduce the explicit expression of discrimination d′′(c) and give several sufficient conditions which can be used to judge the orbital stability and instability for the two solitary waves.
Furthermore, we analyze the influence of the interaction between two nonlinear terms of the equations on the wave speed interval which makes the solitary waves stable.
American Psychological Association (APA)
Weiguo, Zhang& Chen, Xu& Li, Zhengming& Zhang, Haiyan. 2014. Orbital Stability of Solitary Waves for Generalized Symmetric Regularized-Long-Wave Equations with Two Nonlinear Terms. Journal of Applied Mathematics،Vol. 2014, no. 2014, pp.1-16.
https://search.emarefa.net/detail/BIM-511911
Modern Language Association (MLA)
Weiguo, Zhang…[et al.]. Orbital Stability of Solitary Waves for Generalized Symmetric Regularized-Long-Wave Equations with Two Nonlinear Terms. Journal of Applied Mathematics No. 2014 (2014), pp.1-16.
https://search.emarefa.net/detail/BIM-511911
American Medical Association (AMA)
Weiguo, Zhang& Chen, Xu& Li, Zhengming& Zhang, Haiyan. Orbital Stability of Solitary Waves for Generalized Symmetric Regularized-Long-Wave Equations with Two Nonlinear Terms. Journal of Applied Mathematics. 2014. Vol. 2014, no. 2014, pp.1-16.
https://search.emarefa.net/detail/BIM-511911
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-511911