New Generalized Hyperbolic Functions to Find New Exact Solutions of the Nonlinear Partial Differential Equations
New Generalized Hyperbolic Functions to Find New Exact Solutions of the Nonlinear Partial Differential Equations
复制标题
寻找非线性偏微分方程新精确解的新广义双曲函数
DOI：
10.1155/2013/201276
复制
发表时间：
2013
影响因子：
1.4
通讯作者：
Halime Ulusoy
中科院分区：
文献类型：
--
作者：
Y. Pandir;Halime Ulusoy
我们首先给出了一些新的函数，称之为广义双曲函数。利用广义双曲函数，定义了一类新的变换，用以求非线性偏微分方程的精确近似解。基于广义KdV方程和耦合等宽波方程的广义双曲函数变换，通过对广义双曲函数取不同的参数值，得到了两个方程的新的精确解，并分析了它们的性质.我们认为这些解对于解释一些物理现象非常重要。
We firstly give some new functions called generalized hyperbolic functions. By the using of the generalized hyperbolic functions, new kinds of transformations are defined to discover the exact approximate solutions of nonlinear partial differential equations. Based on the generalized hyperbolic function transformation of the generalized KdV equation and the coupled equal width wave equations (CEWE), we find new exact solutions of two equations and analyze the properties of them by taking different parameter values of the generalized hyperbolic functions. We think that these solutions are very important to explain some physical phenomena.