期刊
PRAMANA-JOURNAL OF PHYSICS
卷 87, 期 6, 页码 -出版社
INDIAN ACAD SCIENCES
DOI: 10.1007/s12043-016-1292-9
关键词
Generalized tanh-coth method; generalized (G '/G)-expansion method; Cahn-Hilliard equation; Allen-Cahn equation; steady-state equation
In this paper, we find exact solutions of some nonlinear evolution equations by using generalized tanh-coth method. Three nonlinear models of physical significance, i.e. the Cahn-Hilliard equation, the Allen-Cahn equation and the steady-state equation with a cubic nonlinearity are considered and their exact solutions are obtained. From the general solutions, other well-known results are also derived. Also in this paper, we shall compare the generalized tanh-coth method and generalized (G'/G)-expansion method to solve partial differential equations (PDEs) and ordinary differential equations (ODEs). Abundant exact travelling wave solutions including solitons, kink, periodic and rational solutions have been found. These solutions might play important roles in engineering fields. The generalized tanh-coth method was used to construct periodic wave and solitary wave solutions of nonlinear evolution equations. This method is developed for searching exact travelling wave solutions of nonlinear partial differential equations. It is shown that the generalized tanh-coth method, with the help of symbolic computation, provides a straightforward and powerful mathematical tool for solving nonlinear problems.
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