A New Extended Jacobi Elliptic Function Expansion Method and Its Application to the Generalized Shallow Water Wave Equation
Joint Authors
Xiao, Yafeng
Xue, Haili
Zhang, Hongqing
Source
Journal of Applied Mathematics
Issue
Vol. 2012, Issue 2012 (31 Dec. 2012), pp.1-21, 21 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2012-12-31
Country of Publication
Egypt
No. of Pages
21
Main Subjects
Abstract EN
With the aid of symbolic computation, a new extended Jacobi elliptic function expansion method is presented by means of a new ansatz, in which periodic solutions of nonlinear evolution equations, which can be expressed as a finite Laurent series of some 12 Jacobi elliptic functions, are very effective to uniformly construct more new exact periodic solutions in terms of Jacobi elliptic function solutions of nonlinear partial differential equations.
As an application of the method, we choose the generalized shallow water wave (GSWW) equation to illustrate the method.
As a result, we can successfully obtain more new solutions.
Of course, more shock wave solutions or solitary wave solutions can be gotten at their limit condition.
American Psychological Association (APA)
Xiao, Yafeng& Xue, Haili& Zhang, Hongqing. 2012. A New Extended Jacobi Elliptic Function Expansion Method and Its Application to the Generalized Shallow Water Wave Equation. Journal of Applied Mathematics،Vol. 2012, no. 2012, pp.1-21.
https://search.emarefa.net/detail/BIM-1029042
Modern Language Association (MLA)
Xiao, Yafeng…[et al.]. A New Extended Jacobi Elliptic Function Expansion Method and Its Application to the Generalized Shallow Water Wave Equation. Journal of Applied Mathematics No. 2012 (2012), pp.1-21.
https://search.emarefa.net/detail/BIM-1029042
American Medical Association (AMA)
Xiao, Yafeng& Xue, Haili& Zhang, Hongqing. A New Extended Jacobi Elliptic Function Expansion Method and Its Application to the Generalized Shallow Water Wave Equation. Journal of Applied Mathematics. 2012. Vol. 2012, no. 2012, pp.1-21.
https://search.emarefa.net/detail/BIM-1029042
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1029042