4.4 Article

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

出版社

WALTER DE GRUYTER GMBH
DOI: 10.1515/IJNSNS.2009.10.5.675

关键词

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

资金

  1. National Natural Science Foundation of China [10672147]
  2. Excellent Young Teachers Program of Zhejiang Provincial Education Department.

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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.

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