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New Exact Solutions for a Higher Order Wave Equation of KdV Type Using Multiple G′G-Expansion Methods
Author
Source
Advances in Mathematical Physics
Issue
Vol. 2014, Issue 2014 (31 Dec. 2014), pp.1-9, 9 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2014-04-29
Country of Publication
Egypt
No. of Pages
9
Main Subjects
Abstract EN
The G′/G-expansion method is a powerful mathematical tool for solving nonlinear wave equations in mathematical physics and engineering problems.
In our work, exact traveling wave solutions of a generalized KdV type equation of neglecting the highest order infinitesimal term, which is an important water wave model, are discussed by the G′/G-expansion method and its variants.
As a result, many new exact solutions involving parameters, expressed by Jacobi elliptic functions, hyperbolic functions, trigonometric function, and the rational functions, are obtained.
These methods are more effective and simple than other methods and a number of solutions can be obtained at the same time.
The related results are enriched.
American Psychological Association (APA)
He, Ying-Hui. 2014. New Exact Solutions for a Higher Order Wave Equation of KdV Type Using Multiple G′G-Expansion Methods. Advances in Mathematical Physics،Vol. 2014, no. 2014, pp.1-9.
https://search.emarefa.net/detail/BIM-449572
Modern Language Association (MLA)
He, Ying-Hui. New Exact Solutions for a Higher Order Wave Equation of KdV Type Using Multiple G′G-Expansion Methods. Advances in Mathematical Physics No. 2014 (2014), pp.1-9.
https://search.emarefa.net/detail/BIM-449572
American Medical Association (AMA)
He, Ying-Hui. New Exact Solutions for a Higher Order Wave Equation of KdV Type Using Multiple G′G-Expansion Methods. Advances in Mathematical Physics. 2014. Vol. 2014, no. 2014, pp.1-9.
https://search.emarefa.net/detail/BIM-449572
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-449572