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

• Published in: Journal of modern optics Vol. 64; no. 16; pp. 1688 - 1692
• Main Authors: Hosseini, Kamyar, Bekir, Ahmet, Kaplan, Melike
• Format: Journal Article
• Language: English
• Published: Abingdon Taylor & Francis 08.09.2017; Taylor & Francis Ltd
• Subjects: Dodd-Bullough-Mikhailov equation; Evolution; Linear evolution equations; modified Kudryashov method; new exact traveling wave solutions; Nonlinear equations; Nonlinear evolution equations; Nonlinear optics; Nonlinear programming; Tzitzéica equation; Tzitzéica-Dodd-Bullough equation

The properties of Tzitzéica 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 T...