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New exact solutions for the Wick-type stochastic modified Boussinesq equation for describing wave propagation in nonlinear dispersive systems

Publication Type : Journal Article

Publisher : Elsevier BV

Source : Chinese Journal of Physics

Url : https://doi.org/10.1016/j.cjph.2017.04.017

Keywords : Modified Boussinesq equation, Wick-product, White noise space, Improved sub-equation method, Hermite transform, Inverse Hermite transform

Campus : Chennai

School : School of Engineering

Year : 2017

Abstract : In this article, exact solutions of a Wick-type stochastic fractional modified Boussinesq equation have been obtained by using an improved sub-equation method. We have used the Hermite transform for transforming the Wick-type stochastic modified Boussinesq equation to a deterministic partial differential equation. Also we have applied the inverse Hermite transform for obtaining a set of stochastic solutions in the white noise space.

Cite this Research Publication : S. Saha Ray, S. Singh, New exact solutions for the Wick-type stochastic modified Boussinesq equation for describing wave propagation in nonlinear dispersive systems, Chinese Journal of Physics, Elsevier BV, 2017, https://doi.org/10.1016/j.cjph.2017.04.017

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