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

Publication Type : Journal Article

Publisher : Chinese Journal of Physics

Source : Chinese Journal of Physics, 55(4), pp. 1653-1662.

Url : https://www.sciencedirect.com/science/article/abs/pii/S0577907317302551

Campus : Chennai

School : School of Engineering

Department : Mathematics

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 waves propagation in nonlinear dispersive systems”, Chinese Journal of Physics, 55(4), pp. 1653-1662. (2017)

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