New exact solutions of the Tzitzéica-type equations in non-linear optics using the expa function method |
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Authors: | K Hosseini R Ansari |
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Affiliation: | 1. Department of Mathematics, Guilan Science and Research Branch, Islamic Azad University, Rasht, Iran;2. Department of Mathematics, Rasht Branch, Islamic Azad University, Rasht, Iran;3. Department of Mechanical Engineering, University of Guilan, Rasht, Iran |
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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 expa 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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Keywords: | Tzitzéica Dodd–Bullough–Mikhailov and Tzitzéica–Dodd–Bullough equations non-linear optics expa function method new exact solutions |
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