Approximate direct reduction method: infinite series reductions to the perturbed mKdV equation |
| |
Authors: | Jiao Xiao-Yu and Lou Sen-Yue |
| |
Institution: | Department of Physics, Shanghai Jiao Tong University, Shanghai 200240, China; Department of Physics, Ningbo University, Ningbo 315211, China |
| |
Abstract: | The approximate direct reduction method is applied to the perturbed mKdV
equation with weak fourth order dispersion and weak dissipation. The
similarity reduction solutions of different orders conform to formal
coherence, accounting for infinite series reduction solutions to the
original equation and general formulas of similarity reduction
equations. Painlevé II type equations, hyperbolic secant and
Jacobi elliptic function solutions are obtained for zero-order
similarity reduction equations. Higher order similarity reduction
equations are linear variable coefficient ordinary differential
equations. |
| |
Keywords: | perturbed mKdV equation approximate direct reduction method series reduction
solutions |
本文献已被 维普 等数据库收录! |
| 点击此处可从《中国物理 B》浏览原始摘要信息 |
| 点击此处可从《中国物理 B》下载免费的PDF全文 |
|