EXACT TRAVELLING WAVE SOLUTIONS TO THE SPACE-TIME FRACTIONAL CALOGERO-DEGASPERIS EQUATION USING DIFFERENT METHODS

Ozkan Guner

doi:10.11948/2156-907X.20160254

2019 Volume 9 Issue 2

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Ozkan Guner. EXACT TRAVELLING WAVE SOLUTIONS TO THE SPACE-TIME FRACTIONAL CALOGERO-DEGASPERIS EQUATION USING DIFFERENT METHODS[J]. Journal of Applied Analysis & Computation, 2019, 9(2): 428-439. doi: 10.11948/2156-907X.20160254

Citation:

Ozkan Guner. EXACT TRAVELLING WAVE SOLUTIONS TO THE SPACE-TIME FRACTIONAL CALOGERO-DEGASPERIS EQUATION USING DIFFERENT METHODS[J]. Journal of Applied Analysis & Computation, 2019, 9(2): 428-439. doi: 10.11948/2156-907X.20160254

EXACT TRAVELLING WAVE SOLUTIONS TO THE SPACE-TIME FRACTIONAL CALOGERO-DEGASPERIS EQUATION USING DIFFERENT METHODS

Ozkan Guner^1, ,

1.
Department of International Trade, Cankiri Karatekin University, Cankiri, Turkey

Corresponding author: ozkanguner@karatekin.edu.tr (O. Guner)

Abstract

Abstract

In this paper, we employed the ansatz method, the exp-function method and the $ \left( \frac{G^{\prime }}{G}\right) $-expansion method for the first time to obtain the exact and traveling wave solutions of the space time fractional Calogero Degasperis equation. As a result, we obtained some soliton and traveling wave solutions for this equation by means of proposed three analytical methods and the aid of commercial software Maple. The results show that these methods are effective and powerful mathematical tool for solving nonlinear FDEs arising in mathematical physics.
- Exact solution /
- exp-function method /
- $\left( \frac{G^{\prime }}{G}\right) $-expansion method /
- ansatz method /
- space time fractional Calogero-Degasperis equation
MSC: 35Q51, 35R11, 83C15

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References

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