摘要
对双曲函数法进行了扩展,利用它找到了变系数Burgers方程在一定条件下的若干精确解,包括变速孤立波解和周期波解.实例证明在对变系数偏微分方程的求解中,该法仍然是一种简便易行的方法.
The hyperbola function method has been extendedand to find some exact solutions to Burgers equation with variable coefficients. The solutions include solitary wave solutions and periodic solutions. The results indicate that this approach is simple and efficient for solving partial differential equations with variable coefficients
出处
《兰州大学学报(自然科学版)》
CAS
CSCD
北大核心
2005年第4期107-111,共5页
Journal of Lanzhou University(Natural Sciences)
基金
国家自然科学基金资助项目(10247008).
关键词
双曲函数法
变系数BURGERS方程
精确解
hyperbola function method
variable coefficient Burgers equation
exact solution