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Some new exact traveling wave solutions one dimensional modified complex Ginzburg- Landau equation | ||
| Computational Methods for Differential Equations | ||
| مقاله 1، دوره 3، شماره 2، تیر 2015، صفحه 70-86 اصل مقاله (665.42 K) | ||
| نوع مقاله: Research Paper | ||
| نویسندگان | ||
| Mina Mortazavi* 1؛ Mohammad Mirzazadeh2 | ||
| 1Department of Applied Mathematics, School of Mathematical Sciences, Ferdowsi University of Mashhad, Mashhad, Iran | ||
| 2Department of Mathematics, Faculty of Mathematical Sciences, University of Guilan, Rasht, Iran | ||
| چکیده | ||
| In this paper, we obtain exact solutions involving parameters of some nonlinear PDEs in mathmatical physics; namely the one-dimensional modified complex Ginzburg-Landau equation by using the $ (G'/G) $ expansion method, homogeneous balance method, extended F-expansion method. By using homogeneous balance principle and the extended F-expansion, more periodic wave solutions expressed by jacobi elliptic functions for the 1D MCGL equation are derived. Homogeneous method is a powerful method, it can be used to construct a large families of exact solutions to different nonlinear differential equations that does not involve independent variables. | ||
| کلیدواژهها | ||
| Exact traveling wave Solutions؛ Modified Complex Ginzburg-Landau equation؛ $(G'/G)$-expanson method؛ Homogeneous balance method؛ Eextended F-expansion method | ||
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