摘要
将Riccati方程法扩展并应用到构造变系数非线性发展方程的显示精确解,发展了Riccati方程法,并用该方法获得了广义变系数Burgers方程在一定条件下的显示精确解.
The projective Riccati equations method is extended and applied to construct the explicit exact solutions of variable coefficient nonlinear evolution equation.Abundant exact solutions of generalized Burgers equation with variable coefficients are successfully obtained by using the extended projective Riccati equations method.
出处
《河南大学学报(自然科学版)》
CAS
北大核心
2011年第6期562-566,共5页
Journal of Henan University:Natural Science
基金
河南省基础与前沿技术研究(112300410109)
河南省教育厅自然科学基金项目(2010A110022)
关键词
非线性发展方程
投影Riccati方程法
广义变系数Burgers方程
显示精确解
nonlinear evolution equation
projective Riccati equations method
generalized Burgers equation with variable coefficients
explicit and exact solutions