Cite this article:
Hossam A. Ghany, Abd-Allah Hyder. Abundant solutions of Wick-type stochastic fractional 2D KdV equationsJ. Chin. Phys. B, 2014, 23(6): 060503.
| Hossam A. Ghany, Abd-Allah Hyder. Abundant solutions of Wick-type stochastic fractional 2D KdV equationsJ. Chin. Phys. B, 2014, 23(6): 060503. |
Abundant solutions of Wick-type stochastic fractional 2D KdV equations
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Abstract
A modified fractional sub-equation method is applied to Wick-type stochastic fractional two-dimensional (2D) KdV equations. With the help of a Hermit transform, we obtain a new set of exact stochastic solutions to Wick-type stochastic fractional 2D KdV equations in the white noise space. These solutions include exponential decay wave solutions, soliton wave solutions, and periodic wave solutions. Two examples are explicitly given to illustrate our approach. -
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