随机广义KdV方程的随机精确解

Stochastic Exact Solutions to the Stochastic Generalized KdV Equation

通过一个辅助性方程和埃米尔特变换研究广义随机KdV方程的随机雅克比椭圆函数类波解.此外,还通过椭圆函数在模数取极限m→0和m→1的情况,给出方程的随机类孤子解和随机三角函数波解,所得结果丰富了广义随机KdV方程的精确解.

In the paper, we study the exact solutions of generMized stochastic KdV equation via use of an auxiliary equation and Hermite transformation, in addition, when m → 0 and m → 1, 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 solutiorls are also constructed.