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

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...

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Bibliographic Details
Published inJournal of modern optics Vol. 64; no. 16; pp. 1688 - 1692
Main Authors Hosseini, Kamyar, Bekir, Ahmet, Kaplan, Melike
Format Journal Article
LanguageEnglish
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
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Summary: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 Tzitzéica, Dodd-Bullough-Mikhailov (DBM) and Tzitzéica-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.
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ISSN:0950-0340
1362-3044
DOI:10.1080/09500340.2017.1302607