期刊
OPTIK
卷 183, 期 -, 页码 642-649出版社
ELSEVIER GMBH
DOI: 10.1016/j.ijleo.2019.02.087
关键词
Differential equation; Painleve transformation; Burgers equation; Fisher equation; Gardner equation; Kuramoto-Sivashinsky equation
类别
资金
- RFBR [18-29-10039]
The approach by Painleve to construct the general solutions of some nonlinear second-order ordinary differential equations is generalized for finding exact solutions of nonintegrable differential equations. We demonstrate that this approach generalizes some other well-known algorithms of finding exact solutions: the tanh-function method, the G'/G-expansion method, the Exp-function method and some variants of the simplest equation method. The method allows us to search for both solution in the form of solitary waves and periodic solution expressed through elliptic functions. We demonstrate possibilities of the method for finding exact solutions of nonintegrable ordinary differential equations which are obtained as reductions of the modified Korteweg-de Vries equation with source, the generalized Burgers equation, the generalized Fisher equation, the generalized Gardner equation and the generalized Kuramoto-Sivashinsky equation.
作者
我是这篇论文的作者
点击您的名字以认领此论文并将其添加到您的个人资料中。
推荐
暂无数据