New exact traveling wave solutions of the Tzitzeica type equations using a novel exponential rational function method

被引:21
作者
Hosseini, K. [1 ,2 ]
Ayati, Z. [3 ]
Ansari, R. [4 ]
机构
[1] Islamic Azad Univ, Guilan Sci & Res Branch, Dept Math, Rasht, Iran
[2] Islamic Azad Univ, Rasht Branch, Dept Math, Rasht, Iran
[3] Univ Guilan, Fac Engn & Technol, Dept Engn Sci, PC 44891-63157, Rudsar, Iran
[4] Univ Guilan, Dept Mech Engn, POB 3756, Rasht, Iran
来源
OPTIK | 2017年 / 148卷
关键词
Tzitzeica type equations; Nonlinear optics; Novel exponential rational function method; New exact solutions; NONLINEAR SCHRODINGER-EQUATION; SOLITON-SOLUTIONS; OPTICAL SOLITONS; PERIODIC-WAVE;
D O I
10.1016/j.ijleo.2017.08.030
中图分类号
O43 [光学];
学科分类号
070207 ; 0803 ;
摘要
The Tzitzeica type equations arising in nonlinear optics, including the Tzitzeica, Dodd-Bullough-Mikhailov, and Tzitzeica-Dodd-Bullough equations are solved analytically, in the present paper. A solution technique in the area of computational mathematics called the novel exponential rational function method is formally proposed for this purpose. As a consequence, a series of new exact solutions for the Tzitzeica type equations are obtained, proving the super performance of novel exponential rational function method. (C) 2017 Published by Elsevier GmbH.
引用
收藏
页码:85 / 89
页数:5
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