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- Title
Multiple ( G′/ G)-expansion method and its applications to nonlinear evolution equations in mathematical physics.
- Authors
Chen, Junchao; Li, Biao
- Abstract
In this paper, an extended multiple ( G′/ G)-expansion method is proposed to seek exact solutions of nonlinear evolution equations. The validity and advantages of the proposed method is illustrated by its applications to the Sharma-Tasso-Olver equation, the sixth-order Ramani equation, the generalized shallow water wave equation, the Caudrey-Dodd-Gibbon-Sawada-Kotera equation, the sixth-order Boussinesq equation and the Hirota-Satsuma equations. As a result, various complexiton solutions consisting of hyperbolic functions, trigonometric functions, rational functions and their mixture with parameters are obtained. When some parameters are taken as special values, the known double solitary-like wave solutions are derived from the double hyperbolic function solution. In addition, this method can also be used to deal with some high-dimensional and variable coefficients' nonlinear evolution equations.
- Subjects
NUMERICAL solutions to nonlinear evolution equations; ASYMPTOTIC theory in mathematical physics; EXPONENTIAL functions; TRIGONOMETRIC functions; ESTIMATION theory; MATHEMATICAL analysis
- Publication
Pramana: Journal of Physics, 2012, Vol 78, Issue 3, p375
- ISSN
0304-4289
- Publication type
Article
- DOI
10.1007/s12043-011-0237-6