摘要
将在行波变换下的Jacobi椭圆函数展开法推广到范围非常广泛的一般函数变换下进行 ,利用这一方法求得了一些非线性发展方程的精确周期解 ,这些解包括了在行波变换下所求得的周期解 .
A Jacobi elliptic function expansion method under a general function transform, which is more general than the Jacobi elliptic function expansion method under a traveling wave transform, is proposed to construct the exact solutions of nonlinear evolution equations. It is shown that some new exact periodic solutions of them are obtained by this method and these new solutions include previous solutions. Meanwhile, it is proved that the periodic solutions of some nonlinear evolution equations must be traveling solutions.
出处
《物理学报》
SCIE
EI
CAS
CSCD
北大核心
2004年第3期676-679,共4页
Acta Physica Sinica
基金
国家自然科学基金 (批准号 :10 1710 5 8)
内蒙古自治区自然科学基金
内蒙古师范大学青年科研基金重点项目 (批准号 :QNZ0 0 111)资助的课题~~
