Fan sub-equation method for Wick-type stochastic partial differential equations |
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| Authors: | Sheng Zhang Hong-Qing Zhang |
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| Institution: | a Department of Mathematics, Bohai University, Jinzhou 121013, PR China
b School of Mathematical Sciences, Dalian University of Technology, Dalian 116024, PR China |
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| Abstract: | An improved algorithm is devised for using 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. |
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| Keywords: | Stochastic partial differential equation Fan sub-equation method Hermite transformation White noise |
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