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Zbl 1217.35151
Bekir, Ahmet; Boz, Ahmet
Exact solutions for nonlinear evolution equations using Exp-function method. (English)
[J] Phys. Lett., A 372, No. 10, 1619-1625 (2008). ISSN 0375-9601

Summary: In this letter, the Exp-function method is used to construct solitary and soliton solutions of nonlinear evolution equations. The Klein-Gordon, Burger-Fisher and Sharma-Tasso-Olver equations are chosen to illustrate the effectiveness of the method. The method is straightforward and concise, and its applications are promising. The Exp-function method presents a wider applicability for handling nonlinear wave equations.

MSC 2000:: *35Q51 Solitons
37L05 General theory, nonlinear semigroups, evolution equations
35Q55 NLS-like (nonlinear Schroedinger) equations
81Q05 Closed and approximate solutions to quantum-mechanical equations

Keywords: exp-function method; Klein-Gordon equation; Burger-Fisher equation; Sharma-Tasso-Olver equation

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Zentralblatt MATH Berlin [Germany]