Some exact Wick type stochastic generalized Boussinesq equation solutions

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摘要

The resolution of the stochastic generalized Boussinesq equation driven by a white noise is undertaken. Explicit solutions are found thanks to a white noise functional approach and the F-expansion method. Among these solutions, periodic and solitonic ones are pointed out.

论文关键词:60H15,60H30,60H40,Stochastic partial differential equations,Wick-type stochastic equations,White noise,Hermite transform,F-expansion method

论文评审过程:Received 28 November 2006, Revised 30 August 2007, Available online 15 September 2007.

论文官网地址:https://doi.org/10.1016/j.cam.2007.09.006