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Zbl 1143.35360
Wu, Xu-Hong (Benn); He, Ji-Huan
Solitary solutions, periodic solutions and compacton-like solutions using the Exp-function method. (English)
[J] Comput. Math. Appl. 54, No. 7-8, 966-986 (2007). ISSN 0898-1221

Summary: The Exp-function method is used for seeking solitary solutions, periodic solutions, and compacton-like solutions of nonlinear differential equations. The combined KdV-MKdV equation and the Liouville equation are chosen to illustrate the effectiveness and convenience of the proposed method.

MSC 2000:: *35Q53 KdV-like equations
35Q51 Solitons
35B10 Periodic solutions of PDE
35C10 Series solutions of PDE
35-04 Machine computation, programs (partial differential equations)

Keywords: solitary solutions; periodic solutions; compacton-like solutions; Exp-function method

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Zentralblatt MATH Berlin [Germany]