Some new exact traveling wave solutions one dimensional modified complex Ginzburg- Landau equation

Publish Year: 1394
نوع سند: مقاله ژورنالی
زبان: English
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شناسه ملی سند علمی:

JR_CMDE-3-2_001

تاریخ نمایه سازی: 15 اسفند 1401

Abstract:

‎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 ۱D 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.

Keywords:

Exact traveling wave Solutions‎ , ‎Modified Complex Ginzburg-Landau equation‎ , ‎(G'/G)‎-‎expanson method , Homogeneous balance method , Eextended F-expansion method

Authors

Mina Mortazavi

Department of Applied Mathematics, School of Mathematical Sciences, Ferdowsi University of Mashhad, Mashhad, Iran

Mohammad Mirzazadeh

Department of Mathematics, Faculty of Mathematical Sciences, University of Guilan, Rasht, Iran