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Exact Traveling Wave Solutions of Explicit Type, Implicit Type, and Parametric Type for K(m,n) Equation
Joint Authors
Wu, Xianbin
Rui, Weiguo
Hong, Xiaochun
Source
Journal of Applied Mathematics
Issue
Vol. 2012, Issue 2012 (31 Dec. 2012), pp.1-23, 23 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2012-03-26
Country of Publication
Egypt
No. of Pages
23
Main Subjects
Abstract EN
By using the integral bifurcation method, we study the nonlinear K(m,n) equation for all possible values of m and n.
Some new exact traveling wave solutions of explicit type, implicit type, and parametric type are obtained.
These exact solutions include peculiar compacton solutions, singular periodic wave solutions, compacton-like periodic wave solutions, periodic blowup solutions, smooth soliton solutions, and kink and antikink wave solutions.
The great parts of them are different from the results in existing references.
In order to show their dynamic profiles intuitively, the solutions of K(n,n), K(2n−1,n), K(3n−2,n), K(4n−3,n), and K(m,1) equations are chosen to illustrate with the concrete features.
American Psychological Association (APA)
Wu, Xianbin& Rui, Weiguo& Hong, Xiaochun. 2012. Exact Traveling Wave Solutions of Explicit Type, Implicit Type, and Parametric Type for K(m,n) Equation. Journal of Applied Mathematics،Vol. 2012, no. 2012, pp.1-23.
https://search.emarefa.net/detail/BIM-993054
Modern Language Association (MLA)
Wu, Xianbin…[et al.]. Exact Traveling Wave Solutions of Explicit Type, Implicit Type, and Parametric Type for K(m,n) Equation. Journal of Applied Mathematics No. 2012 (2012), pp.1-23.
https://search.emarefa.net/detail/BIM-993054
American Medical Association (AMA)
Wu, Xianbin& Rui, Weiguo& Hong, Xiaochun. Exact Traveling Wave Solutions of Explicit Type, Implicit Type, and Parametric Type for K(m,n) Equation. Journal of Applied Mathematics. 2012. Vol. 2012, no. 2012, pp.1-23.
https://search.emarefa.net/detail/BIM-993054
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-993054