Separation Transformation and a Class of Exact Solutions to the Higher-Dimensional Klein-Gordon-Zakharov Equation
Joint Authors
Source
Advances in Mathematical Physics
Issue
Vol. 2014, Issue 2014 (31 Dec. 2014), pp.1-8, 8 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2014-04-24
Country of Publication
Egypt
No. of Pages
8
Main Subjects
Abstract EN
The separation transformation method is extended to the n+1-dimensional Klein-Gordon-Zakharov equation describing the interaction of the Langmuir wave and the ion acoustic wave in plasma.
We first reduce the n+1-dimensional Klein-Gordon-Zakharov equation to a set of partial differential equations and two nonlinear ordinary differential equations of the separation variables.
Then the general solutions of the set of partial differential equations are given and the two nonlinear ordinary differential equations are solved by extended F-expansion method.
Finally, some new exact solutions of the n+1-dimensional Klein-Gordon-Zakharov equation are proposed explicitly by combining the separation transformation with the exact solutions of the separation variables.
It is shown that, for the case of n≥2, there is an arbitrary function in every exact solution, which may reveal more nontrivial nonlinear structures in the high-dimensional Klein-Gordon-Zakharov equation.
American Psychological Association (APA)
Chen, Jing& Liu, Ling& Yang, Jie. 2014. Separation Transformation and a Class of Exact Solutions to the Higher-Dimensional Klein-Gordon-Zakharov Equation. Advances in Mathematical Physics،Vol. 2014, no. 2014, pp.1-8.
https://search.emarefa.net/detail/BIM-512730
Modern Language Association (MLA)
Chen, Jing…[et al.]. Separation Transformation and a Class of Exact Solutions to the Higher-Dimensional Klein-Gordon-Zakharov Equation. Advances in Mathematical Physics No. 2014 (2014), pp.1-8.
https://search.emarefa.net/detail/BIM-512730
American Medical Association (AMA)
Chen, Jing& Liu, Ling& Yang, Jie. Separation Transformation and a Class of Exact Solutions to the Higher-Dimensional Klein-Gordon-Zakharov Equation. Advances in Mathematical Physics. 2014. Vol. 2014, no. 2014, pp.1-8.
https://search.emarefa.net/detail/BIM-512730
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-512730