New exact solutions of the Tzitzéica-type equations in non-linear optics using the expa function method. Issue 7 (16th April 2018)

• Record Type: Journal Article
• Authors: Hosseini, K.; Ayati, Z.; Ansari, R.
• Is Part Of: Journal of modern optics. Volume 65:Issue 7(2018)
• Page Start: 847
• Page End: 851
• Publication Date: 2018-04-16
• Subjects: Tzitzéica, Dodd–Bullough–Mikhailov and Tzitzéica–Dodd–Bullough equations -- non-linear optics -- expa function method -- new exact solutions; Optics -- Periodicals; 535
• DOI: 10.1080/09500340.2017.1407002
• Languages: English
• ISSNs: 0950-0340

Abstract

Abstract: One specific class of non-linear evolution equations, known as the Tzitzéica-type equations, has received great attention from a group of researchers involved in non-linear science. In this article, new exact solutions of the Tzitzéica-type equations arising in non-linear optics, including the Tzitzéica, Dodd–Bullough–Mikhailov and Tzitzéica–Dodd–Bullough equations, are obtained using the exp a function method. The integration technique actually suggests a useful and reliable method to extract new exact solutions of a wide range of non-linear evolution equations.