White noise functional solutions of Wick-type stochastic generalized Hirota–Satsuma coupled KdV equations

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摘要

Generalized Hirota–Satsuma coupled KdV equations with variable coefficients and Wick-type stochastic generalized Hirota–Satsuma coupled KdV equations are investigated. White noise functional solutions are shown by Hermite transform, homogeneous balance principle and F-expansion method.

论文关键词:Generalized Hirota–Satsuma coupled KdV equation with variable coefficients,Wick-type stochastic generalized Hirota–Satsuma coupled KdV equation,White noise,Hermite transform,Homogeneous balance principle,F-expansion method

论文评审过程:Received 16 April 2005, Revised 9 November 2005, Available online 20 December 2005.

论文官网地址:https://doi.org/10.1016/j.cam.2005.11.009