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Symbolic Computation and the Extended Hyperbolic Function Method for Constructing Exact Traveling Solutions of Nonlinear PDEs
Joint Authors
Shang, Yadong
Yuan, Wen-jun
Huang, Yong
Source
Journal of Applied Mathematics
Issue
Vol. 2012, Issue 2012 (31 Dec. 2012), pp.1-19, 19 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2012-10-11
Country of Publication
Egypt
No. of Pages
19
Main Subjects
Abstract EN
On the basis of the computer symbolic system Maple and the extended hyperbolic function method, we develop a more mathematically rigorous and systematic procedure for constructing exact solitary wave solutions and exact periodic traveling wave solutions in triangle form of various nonlinear partial differential equations that are with physical backgrounds.
Compared with the existing methods, the proposed method gives new and more general solutions.
More importantly, the method provides a straightforward and effective algorithm to obtain abundant explicit and exact particular solutions for large nonlinear mathematical physics equations.
We apply the presented method to two variant Boussinesq equations and give a series of exact explicit traveling wave solutions that have some more general forms.
So consequently, the efficiency and the generality of the proposed method are demonstrated.
American Psychological Association (APA)
Huang, Yong& Shang, Yadong& Yuan, Wen-jun. 2012. Symbolic Computation and the Extended Hyperbolic Function Method for Constructing Exact Traveling Solutions of Nonlinear PDEs. Journal of Applied Mathematics،Vol. 2012, no. 2012, pp.1-19.
https://search.emarefa.net/detail/BIM-993590
Modern Language Association (MLA)
Huang, Yong…[et al.]. Symbolic Computation and the Extended Hyperbolic Function Method for Constructing Exact Traveling Solutions of Nonlinear PDEs. Journal of Applied Mathematics No. 2012 (2012), pp.1-19.
https://search.emarefa.net/detail/BIM-993590
American Medical Association (AMA)
Huang, Yong& Shang, Yadong& Yuan, Wen-jun. Symbolic Computation and the Extended Hyperbolic Function Method for Constructing Exact Traveling Solutions of Nonlinear PDEs. Journal of Applied Mathematics. 2012. Vol. 2012, no. 2012, pp.1-19.
https://search.emarefa.net/detail/BIM-993590
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-993590