带乘性噪声的离子声波和朗缪尔波随机方程组的新行波解

New Traveling Wave Solution of Stochastic Equations of the Ion Sound and Langmuir Waves with Multiplicative Noise

本文利用多项式的完全判别法获得了带乘性噪声的离子声波和朗缪尔波随机方程组的行波解,这些解包括双曲函数解、三角函数解、有理函数解和雅克比椭圆函数解。本文所获得的解可以进一步解释该类随机微分方程的波的传播情况。

In this paper, by using the complete discriminant method of polynomials, new traveling wave solu-tion of stochastic equations of the ion sound and Langmuir waves with multiplicative noise is ob-tained. These solutions include hyperbolic function solutions, trigonometric function solutions, ra-tional function solutions and Jacobi elliptic function solutions. The solutions obtained in this paper can further explain the wave propagation of this kind of stochastic differential equations.