摘要
利用齐次平衡原则及厄尔米特变换,借助于变系数热传导方程的各种精确解,用代数的方法获得了一随机非线性发展方程组的各种精确解.
By using the homogeneous balance principle (HBP) and Hermite transform, various kinds of exact solutions to a stochastic nonlinear evolution equations can be algebraically obtained in terms of the exact solutions of heat conduction equation with variable coefficients.
出处
《兰州理工大学学报》
CAS
北大核心
2005年第4期127-130,共4页
Journal of Lanzhou University of Technology
基金
河南省自然科学基金(0111050200)
关键词
变系数热传导方程
随机非线性发展方程
齐次平衡原则
厄尔米特变换
自-Backlund
精确解
heat conduction equation with variable coefficients
stochastic nonlinear evolution equation
homogeneous balance principle
Hermite transform
auto- Backlund transformation (auto-BT)
exact solutions