摘要
对求解非线性波方程的三角函数展开方法进行了扩展,构造了一种以tan函数作为形式解的三角函数展开方法.利用改进的三角函数方法对组合KdV方程进行了求解,获得了组合KdV方程的八组Jacobi椭圆函数解.
The triangle function expansion method of solving the nonlinear wave equation was extended. Structuring a kind of triangle function expansion method with tan function as form solution, and using the improved method to solve the combined KdV equation. Eight sets of Jacobi elliptic function solutions of the combined KdV equation are obtained by maple.
出处
《内蒙古民族大学学报（自然科学版）》
2013年第2期142-145,共4页
Journal of Inner Mongolia Minzu University：Natural Sciences
关键词
三角函数展开法
组合KDV方程
JACOBI椭圆函数解
Trigonometric functions expansion method
combined KdV equation
Jacobi elliptic function solutions
