摘要
借助Hermite变换、白噪声理论和Riccati方程的有理指数函数解,获得了Wick型随机mKdV方程带多参量的广义的有理指数函数解,借助这个解可以揭示出不同的Riccati方程约束条件下,不同的参量的变化对Wick型随机mKdV方程动力学行为产生的影响及变化规律。它为深入研究外部条件和内部因素对非线性随机模式行为产生的影响,提供了一种更加有效的方法。
With the help of Hermite transformation, white noise theory and a rational-exponent function so-lution of Riccati equation, a rational-exponent function solution with multiple arbitrary parameters for Wick-type stochastic mKdV equation is obtained. From this rational-exponent function solution, the influence of variety of different parameters on the dynamics behavior of Wick-type stochastic mKdV equation by restricted Riccati equation is showed. It provides a more effective method, which can be used to investigate the influence of external conditions and internal factors on behavior of nonlinear stochastic dynamics model.
出处
《应用数学进展》
2017年第9期1056-1062,共7页
Advances in Applied Mathematics
基金
浙江省自然科学基金项目(LY13A050001)。
