New exact traveling wave solutions of the Tzitzeica-type evolution equations arising in non-linear optics

被引：47

作者：

Hosseini, Kamyar ^{[1
]}

Bekir, Ahmet ^{[2
]}

Kaplan, Melike ^{[2
]}

机构：

[1] Islamic Azad Univ, Rasht Branch, Dept Math, Rasht, Iran

[2] Eskisehir Osmangazi Univ, Art Sci Fac, Dept Math & Comp, Eskisehir, Turkey

来源：

JOURNAL OF MODERN OPTICS | 2017年 / 64卷 / 16期

关键词：

Tzitzeica equation; Dodd-Bullough-Mikhailov equation; Tzitzeica-Dodd-Bullough equation; modified Kudryashov method; new exact traveling wave solutions; FRACTIONAL DIFFERENTIAL-EQUATIONS; GENERALIZED FISHER EQUATION; MODIFIED KUDRYASHOV METHOD; SOLITONS; ORDER;

D O I：

10.1080/09500340.2017.1302607

中图分类号：

O43 [光学];

学科分类号：

070207 ; 0803 ;

摘要：

The properties of Tzitzeica equations in non-linear optics have been the subject of many recent studies. In this article, a new and effective modification of Kudryashov method is adopted to study this class of non-linear evolution equations. As an achievement, new exact traveling wave solutions of Tzitzeica, Dodd-Bullough-Mikhailov (DBM) and Tzitzeica-Dodd-Bullough (TDB) equations are formally extracted. It is believed that the modified Kudryashov method along with the symbolic computation package suggests a promising technique to handle non-linear evolution equations in non-linear optics.

引用

页码：1688 / 1692

页数：5

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