Application of He's Exp-function Method to the Stochastic mKdV Equation

作者：Dai Chao Qing^*; Zhang Jie Fang

来源：International Journal of Nonlinear Sciences and Numerical Simulation, 2009, 10(5): 675-680.

• exp-function method
• stochastic mKdV equation
• Hermite transformation
• exact solutions

With the help of Hermit transformation, it is firstly that the exp-function method is applied to solve nonlinear stochastic partial differential equations, and some new exact solutions of the stochastic mKdV equation in the white noise environment are obtained. It is shown that the exp-function method provides a straightforward and important mathematical tool for nonlinear stochastic partial differential equations in mathematical physics.

• 出版日期2009-5
• 单位浙江农林大学; 浙江师范大学