Explicit solutions of the nonlinear partial differential equations
Küçük Resim Yok
Tarih
2010
Yazarlar
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
PERGAMON-ELSEVIER SCIENCE LTD
Erişim Hakkı
info:eu-repo/semantics/closedAccess
Özet
The convection and diffusion process or their mixed states are the Important phenomena in the different physical systems. In order to understand these physical processes, the nonlinear differential equations, Fisher. Burger-Fisher. Benjamin-Bona-Mahony-Burgers (BBMB) and Modified Benjamin-Bona-Mahony (MBBM) are solved to obtain the traveling wave solutions using (G'/G)-expansion method. In this study we give the exact solutions of these equations which describe the dynamics of turbulence created by the Interaction of matters. Our solutions are reduced to the well-known solutions in the literature assigning some special values to the constants in the solutions of these equations. Moreover, we have reached the new exact solutions for these equations mentioned above. We have also analyzed and plotted the results using different integration constants to understand the behavior of solutions. (C) 2009 Elsevier Ltd. All rights reserved.
Açıklama
Anahtar Kelimeler
(G '/G)-expansion method, Fisher equation, Burger-Fisher equation, BBMB equation, MBBM equation, Traveling wave solution
Kaynak
NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS
WoS Q Değeri
Q1
Scopus Q Değeri
Q1
Cilt
11
Sayı
3
