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Analytical Approach to Exact Solutions for the Wick-Type Stochastic Space-Time Fractional KdV Equation |
| Hossam A. Ghany1,2** |
1Department of Mathematics, Faculty of Industrial Education Ameria (11282), Helwan University, Cairo, Egypt
2Department of Mathematics, Faculty of Science, Taif University, Hawea(888), Taif, Saudi Arabia
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| Cite this article: |
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Hossam A. Ghany 2014 Chin. Phys. Lett. 31 060503 |
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Abstract This study is devoted to giving an analytical approach to exact solutions for the Wick-type stochastic space-time fractional KdV equation. By means of Hermite transform, white noise theory, and the fractional Riccati equation method, we derive white noise functional solutions for the Wick-type stochastic space-time fractional KdV equations. Exact traveling wave solutions for the variable coefficients space-time fractional KdV equations are given by using the fractional Riccati equation method. The obtained results include soliton-like, periodic, and rational solutions.
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Published: 26 May 2014
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| PACS: |
05.45.-a
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(Nonlinear dynamics and chaos)
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02.30.Jr
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(Partial differential equations)
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05.10.-a
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(Computational methods in statistical physics and nonlinear dynamics)
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