2013•Shuxue de shijian yu renshiRequires access

White Noise Functional Solutions for the Stochastic KdV Equation

Wenyuan Gao

Abstract

In the paper,we study the exact solutions of a nonlinear stochastic partial differential equation(SPDE) via use of an auxiliary equation and Hermite transformation,in addition,the stochastic Jacobi elliptic function wave-like solutions,the stochastic soliton-like solutions and the stochastic triangle function wave solutions of the equations are obtained, where the new solutions are also constructed.

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Available abstract

Key concepts: White noise, Stochastic partial differential equation, Mathematics, Partial differential equation, Hermite polynomials, Korteweg–de Vries equation, Stochastic differential equation, Transformation (genetics)