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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.
Abstract：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.
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基本信息:
中图分类号:O175.29
引用信息:
[1]闻小永,吕大昭.二维色散长波方程组的Jacobi椭圆函数解[J].郑州大学学报(理学版),2007(03):28-32.
2007-09-15
2007-09-15