Analytical solutions of the Gerdjikov-Ivanov equation by using exp(-φ(ξ))-expansion method

被引：99

作者：

Kadkhoda, Nematollah ^{[1
]}

Jafari, Hossein ^{[2
,3
]}

机构：

[1] Bozorgmehr Univ Qaenat, Dept Math, Fac Basic Sci, Qaenat, Iran

[2] Univ Mazandaran, Dept Math, Babol Sar, Iran

[3] Univ South Africa, Dept Math Sci, ZA-0003 Unisa, South Africa

来源：

OPTIK | 2017年 / 139卷

关键词：

Nonlinear optics; The Gerdjikov-Ivanov equation exp(-phi(xi))-expansion method; Travelling waves; Nonlinear evolution equations; TRAVELING-WAVE SOLUTIONS;

D O I：

10.1016/j.ijleo.2017.03.078

中图分类号：

O43 [光学];

学科分类号：

070207 ; 0803 ;

摘要：

The Gerdjikov-Ivanov equation which appears in quanta field theory, nonlinear optics, weak nonlinear dispersive water wave, etc., is discussed. We study a new direct approach namely exp(-phi(xi))-expansion method to seek exact solutions of Gerdjikov-Ivanov equation which include variety of models. These exact solutions include the hyperbolic, trigonometric, rational and exponential functions with some arbitrary parameters. It is shown that the method is quite efficient and useful to obtain exact solutions of different types of nonlinear differential equations. (C) 2017 Elsevier GmbH. All rights reserved.

引用

页码：72 / 76

页数：5

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