Journal
JOURNAL OF MODERN OPTICS
Volume 64, Issue 16, Pages 1688-1692Publisher
TAYLOR & FRANCIS LTD
DOI: 10.1080/09500340.2017.1302607
Keywords
Tzitzeica equation; Dodd-Bullough-Mikhailov equation; Tzitzeica-Dodd-Bullough equation; modified Kudryashov method; new exact traveling wave solutions
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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.
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