Different-Periodic Travelling Wave Solutions for Nonlinear Equations |
| |
| Authors: | YE Li-Jun and LIN Ji |
| |
| Institution: | 1. Department of Physics, Zhejiang Normal University, Jinhua 321004, China
;2. Physics Department, Shanghai Jiao Tong University, Shanghai 200030, China |
| |
| Abstract: | Using Jacobi elliptic function linear superposition approach for
the (1+1)-dimensional Caudrey-Dodd-Gibbon-Sawada-Kotera (CDGSK)
equation and the (2+1)-dimensional Nizhnik-Novikov-Veselov (NNV)
equation, many new periodic travelling wave solutions with
different periods and velocities are obtained based on the known
periodic solutions. This procedure is crucially dependent on a
sequence of cyclic identities involving Jacobi elliptic functions
sn(ξ,m), cn(ξ,m), and dn(ξ,m). |
| |
| Keywords: | linear superposition nonlinear equation travelling wave solution |
| 本文献已被 万方数据 等数据库收录！ |
| 点击此处可从《理论物理通讯》浏览原始摘要信息 |
| 点击此处可从《理论物理通讯》下载免费的PDF全文 |
|
