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F-expansion method and its application for finding new exact solutions to the sine–Gordon and sinh-Gordon equations
- Source :
-
Applied Mathematics & Computation . Oct2012, Vol. 219 Issue 3, p1135-1143. 9p. - Publication Year :
- 2012
-
Abstract
- Abstract: In this paper, based on the F-expansion method and the extended version of F-expansion method we investigate the exact solutions of the sine–Gordon equation and sinh-Gordon equation, respectively. Firstly, several special transformations are introduced to change the sine–Gordon and sinh-Gordon equations into polynomial nonlinear evolution equations. Then these polynomial nonlinear evolution equations are solved by the F-expansion method and its extended version. Finally, more new exact Jacobian elliptic function solutions and soliton solutions are constructed explicitly. [Copyright &y& Elsevier]
Details
- Language :
- English
- ISSN :
- 00963003
- Volume :
- 219
- Issue :
- 3
- Database :
- Academic Search Index
- Journal :
- Applied Mathematics & Computation
- Publication Type :
- Academic Journal
- Accession number :
- 82499371
- Full Text :
- https://doi.org/10.1016/j.amc.2012.07.021