摘要
将非线性方程的解表示成修正的三角函数的有限级数 ,从而将非线性方程的求解问题转化为代数方程求解问题 ,借助 Mathematica软件 ,采用修正的三角函数法和吴文俊消元法 ,得到了 Kd V方程的多组显式精确解 .
The solution to a nonlinear equation is expressed in the form of limited series of amended trigonometric function and the solution of nonlinear equation is transformed into the solution of a system of algebraic equations. So, with the help of Mathmetica and using the amended trigonometric function method as well as Wu elimination method, a group of exact and explicit solutions to KdV equation is obtained.
出处
《甘肃工业大学学报》
2000年第4期96-99,共4页
Journal of Gansu University of Technology
基金
国家自然科学基金
国家重点基础研究发展规划项目!(G19980 30 6 0 0 )
关键词
KDV方程
显示精确解
修正
三角函数法
吴消元法
KdV equation
exact and explicit solution
amended trigonometric function method
Wu elimination method
