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

Hosseini K., Bekir A., Kaplan M.

JOURNAL OF MODERN OPTICS, vol.64, no.16, pp.1688-1692, 2017 (SCI-Expanded) identifier identifier

  • Publication Type: Article / Article
  • Volume: 64 Issue: 16
  • Publication Date: 2017
  • Doi Number: 10.1080/09500340.2017.1302607
  • Journal Name: JOURNAL OF MODERN OPTICS
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Page Numbers: pp.1688-1692
  • Eskisehir Osmangazi University Affiliated: Yes

Abstract

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.