摘要
借助于符号计算软件Maple和吴文俊消元法,通过Jacobi椭圆函数展开法进行扩展,求出了二维色散长波方程组的多组精确解.当模数m→0和m→1,一部分解退化为三角函数解和孤立波解,这种方法也适用于其他的非线性演化方程和方程组.
With the aid of symbolic computation system Maple and Wu elimination method,many types of exact solutions for the two-dimensional dispersive long wave equations are obtained by using the extended Jacobi elliptic function expansion method.When the modulus m→0 and m→1,corresponding solitary wave solutions and trigonometric function solutions are also obtained.The method can also be applied to the solution of other nonlinear evolution equations.
出处
《郑州大学学报（理学版）》
CAS
2007年第3期28-32,共5页
Journal of Zhengzhou University:Natural Science Edition
关键词
二维色散长波方程组
JACOBI椭圆函数
精确解
符号计算
two-dimensional long wave equations
Jacobi elliptic function
exact solution
symbolic computation
