The Orbital Stability of Solitary Wave Solutions for the Generalized Gardner Equation and the Influence Caused by the Interactions between Nonlinear Terms
Joint Authors
Ling, Xing-Qian
Li, Shao-Wei
Zhang, Weiguo
Li, Xiang
Source
Issue
Vol. 2019, Issue 2019 (31 Dec. 2019), pp.1-17, 17 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2019-06-20
Country of Publication
Egypt
No. of Pages
17
Main Subjects
Abstract EN
In this paper, the orbital stability of solitary wave solutions for the generalized Gardner equation is investigated.
Firstly, according to the theory of orbital stability of Grillakis-Shatah-Strauss, a general conclusion is given to determine the orbital stability of solitary wave solutions.
Furthermore, on the basis of the two bell-shaped solitary wave solutions of the equation, the explicit expressions of the orbital stability discriminants are deduced to give the orbitally stable and instable intervals for the two solitary waves as the wave velocity changing.
Moreover, the influence caused by the interaction between two nonlinear terms is also discussed.
From the conclusion, it can be seen that the influences caused by this interaction are apparently when 0
Finally, by deriving the orbital stability discriminant d′′(c) in the form of Gaussian hypergeometric function, the numerical simulations of several main conclusions are given in this paper.
American Psychological Association (APA)
Zhang, Weiguo& Ling, Xing-Qian& Li, Xiang& Li, Shao-Wei. 2019. The Orbital Stability of Solitary Wave Solutions for the Generalized Gardner Equation and the Influence Caused by the Interactions between Nonlinear Terms. Complexity،Vol. 2019, no. 2019, pp.1-17.
https://search.emarefa.net/detail/BIM-1131748
Modern Language Association (MLA)
Zhang, Weiguo…[et al.]. The Orbital Stability of Solitary Wave Solutions for the Generalized Gardner Equation and the Influence Caused by the Interactions between Nonlinear Terms. Complexity No. 2019 (2019), pp.1-17.
https://search.emarefa.net/detail/BIM-1131748
American Medical Association (AMA)
Zhang, Weiguo& Ling, Xing-Qian& Li, Xiang& Li, Shao-Wei. The Orbital Stability of Solitary Wave Solutions for the Generalized Gardner Equation and the Influence Caused by the Interactions between Nonlinear Terms. Complexity. 2019. Vol. 2019, no. 2019, pp.1-17.
https://search.emarefa.net/detail/BIM-1131748
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1131748