Explicit solutions of the nonlinear partial differential equations

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dc.contributor.authorDaghan, Durmus
dc.contributor.authorDonmez, Orhan
dc.contributor.authorTuna, Adnan
dc.date.accessioned2019-08-01T13:38:39Z
dc.date.available2019-08-01T13:38:39Z
dc.date.issued2010
dc.departmentNiğde ÖHÜ
dc.description.abstractThe 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.
dc.identifier.doi10.1016/j.nonrwa.2009.09.018
dc.identifier.endpage2163
dc.identifier.issn1468-1218
dc.identifier.issue3
dc.identifier.scopus2-s2.0-77950917700
dc.identifier.scopusqualityQ1
dc.identifier.startpage2152
dc.identifier.urihttps://dx.doi.org/10.1016/j.nonrwa.2009.09.018
dc.identifier.urihttps://hdl.handle.net/11480/4877
dc.identifier.volume11
dc.identifier.wosWOS:000278768800088
dc.identifier.wosqualityQ1
dc.indekslendigikaynakWeb of Science
dc.indekslendigikaynakScopus
dc.institutionauthor[0-Belirlenecek]
dc.language.isoen
dc.publisherPERGAMON-ELSEVIER SCIENCE LTD
dc.relation.ispartofNONLINEAR ANALYSIS-REAL WORLD APPLICATIONS
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı
dc.rightsinfo:eu-repo/semantics/closedAccess
dc.subject(G '/G)-expansion method
dc.subjectFisher equation
dc.subjectBurger-Fisher equation
dc.subjectBBMB equation
dc.subjectMBBM equation
dc.subjectTraveling wave solution
dc.titleExplicit solutions of the nonlinear partial differential equations
dc.typeArticle

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