Lame function and invariants of multi-order exact solutions among nonlinear evolution equations

被引：14

作者：

Liu, SK ^{[1
]}

Chen, H ^{[1
]}

Fu, ZT ^{[1
]}

Liu, SD ^{[1
]}

机构：

[1] Peking Univ, Sch Phys, Beijing 100871, Peoples R China

来源：

ACTA PHYSICA SINICA | 2003年 / 52卷 / 08期

关键词：

Lame function; Jacobi elliptic function; multi-order exact solution; nonlinear evolution equation; perturbation method; invariants;

D O I：

10.7498/aps.52.1842

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

Applying the perturbation method, the nonlinear evolution equations are expanded as multi-order approximate equations. And based on Lame equation and Lame function, these multi-order approximate equations can be solved by Jacobi elliptic function expansion method, where multi-order exact solutions of nonlinear evolution equations are derived. Then the invariants of the multi-order exact solutions are found among different nonlinear evolution equations.

引用

收藏

页码：1842 / 1847

页数：6

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