Modified simple equation method for nonlinear evolution equations. (English) Zbl 1201.65119
Summary: This paper reflects the implementation of a reliable technique which is called modified simple equation method (MSEM) for solving evolution equations. The proposed algorithm has been successfully tested on two very important evolution equations namely Fitzhugh-Nagumo equation and Sharma-Tasso-Olver equation. Numerical results are very encouraging.
MSC:
| 65L05 | Numerical methods for initial value problems involving ordinary differential equations |
| 34A25 | Analytical theory of ordinary differential equations: series, transformations, transforms, operational calculus, etc. |
| 34A34 | Nonlinear ordinary differential equations and systems |
| 65M70 | Spectral, collocation and related methods for initial value and initial-boundary value problems involving PDEs |
| 35Q92 | PDEs in connection with biology, chemistry and other natural sciences |
| 35Q40 | PDEs in connection with quantum mechanics |
Keywords:
solitons; exact solutions; modified simple equation method;evolution equations; algorithm; Fitzhugh-Nagumo equation; Sharma-Tasso-Olver equation; numerical resultsReferences:
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