Journal
JOURNAL OF MODERN OPTICS
Volume 65, Issue 7, Pages 847-851Publisher
TAYLOR & FRANCIS LTD
DOI: 10.1080/09500340.2017.1407002
Keywords
Tzitzeica; Dodd-Bullough-Mikhailov and Tzitzeica-Dodd-Bullough equations; non-linear optics; exp(a) function method; new exact solutions
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One specific class of non-linear evolution equations, known as the Tzitzeica-type equations, has received great attention from a group of researchers involved in non-linear science. In this article, new exact solutions of the Tzitzeica-type equations arising in non-linear optics, including the Tzitzeica, Dodd-Bullough-Mikhailov and Tzitzeica-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.
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