Fan sub-equation method for Wick-type stochastic partial differential equations. (English) Zbl 1238.35198

Zhang, Sheng; Zhang, Hong-Qing

Phys. Lett., A 374, No. 41, 4180-4187 (2010).

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:

35R60	PDEs with randomness, stochastic partial differential equations
60H40	White noise theory
35Q53	KdV equations (Korteweg-de Vries equations)

Keywords:

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

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