摘要
<正> In this work,by means of a generalized method and symbolic computation,we extend the Jacobi ellipticfunction rational expansion method to uniformly construct a series of stochastic wave solutions for stochastic evolutionequations.To illustrate the effectiveness of our method,we take the(2+1)-dimensional stochastic dispersive long wavesystem as an example.We not only have obtained some known solutions,but also have constructed some new rationalformal stochastic Jacobi elliptic function solutions.
In this work, by means of a generalized method and symbolic computation, we extend the Jacobi elliptic function rational expansion method to uniformly construct a series of stochastic wave solutions for stochastic evolution equations. To illustrate the effectiveness of our method, we take the (2+ 1)-dimensional stochastic dispersive long wave system as an example. We not only have obtained some known solutions, but also have constructed some new rational formal stochastic Jacobi elliptic function solutions.
基金
The project partially supported by the State Key Basic Research Program of China under Grant No. 2004CB318000