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Zbl 1238.35198
Zhang, Sheng; Zhang, Hong-Qing
Fan sub-equation method for Wick-type stochastic partial differential equations. (English)
[J] Phys. Lett., A 374, No. 41, 4180-4187 (2010). ISSN 0375-9601

Summary: An improved algorithm is devised for using the Fan sub-equation method to solve Wick-type stochastic partial differential equations. Applying the improved algorithm to the Wick-type generalized stochastic KdV equation, we obtain more general Jacobi and Weierstrass elliptic function solutions, hyperbolic and trigonometric function solutions, exponential function solutions and rational solutions.
MSC 2000:
*35R60 PDE with randomness
60H40 White noise theory
35Q53 KdV-like equations

Keywords: stochastic partial differential equation; Fan sub-equation method; Hermite transformation; white noise

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