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New extended direct algebraic method for the Tzitzica type evolution equations arising in nonlinear optics | ||
| Computational Methods for Differential Equations | ||
| مقاله 3، دوره 8، شماره 1، فروردین 2020، صفحه 28-53 اصل مقاله (387.71 K) | ||
| نوع مقاله: Research Paper | ||
| شناسه دیجیتال (DOI): 10.22034/cmde.2019.9472 | ||
| نویسندگان | ||
Seyed Mehdi Mirhosseini-Alizamini1؛ Hadi Rezazadeh2؛ Mostafa Eslami   3؛ Mohammad Mirzazadeh4؛ Alpert Korkmaz5
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| 1Department of Mathematics, Payame Noor University (PNU), P.O. Box 19395-3697, Tehran, Iran | ||
| 2Faculty of Engineering Technology, Amol University of Special Modern Technologiesl, Amol, Iran | ||
| 3Department of Mathematics, Faculty of Mathematical Sciences, University of Mazandaran, Babolsar, Iran. | ||
| 4Department of Engineering Sciences, Faculty of Technology and Engineering, East of Guilan, University of Guilan, Rudsar-Vajargah, Iran. | ||
| 5Department of Mathematics, Cankiri Karatekin University, Cankiri, Turkey. | ||
| چکیده | ||
| In this study, the new extended direct algebraic method is exerted for constructing more general exact solutions of the three nonlinear evolution equations with physical interest namely, the Tzitzeica equation, the Dodd-Bullough-Mikhailor equation and the Liouville equation. By using of an appropriate traveling wave transformation reduces these equations to ODE. We state that this method is excellently a generalized form to obtain solitary wave solutions of the nonlinear evolution equations that are widely used in theoretical physics. The method appears to be easier and faster by means of symbolic computation system. | ||
| کلیدواژهها | ||
| Nonlinear evolution equation؛ Tzitzica type evolution equations؛ New extended direct algebraic method؛ Traveling wave solutions | ||
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