Refet PolatTurgut OzisÖziş, TurgutPolat, Refet2025-10-0620149789819680023, 9789819658473, 9789819600571, 9789819644292, 9789819637577, 9783319030135, 9783642363283, 9789819648115, 9783642384653, 9789819920914978364240080318761119, 187611001876-111910.1007/978-3-642-40081-0_1152-s2.0-84894147422https://www.scopus.com/inward/record.uri?eid=2-s2.0-84894147422&doi=10.1007%2F978-3-642-40081-0_115&partnerID=40&md5=9f7d809770036a6ba9ba81dc87c1861fhttps://gcris.yasar.edu.tr/handle/123456789/9995https://doi.org/10.1007/978-3-642-40081-0_115Over the past decades a number of approximate methods for finding travelling wave solutions to nonlinear evolution equations have been proposed. Among these methods one of the current methods is so called (G′/G) -expansion method. In this paper we will examine the(G′/G) -expansion method for determining the solutions of the active-dissipative dispersive media equation. The active-dissipative dispersive media equation is given by μ<inf>t</inf>+μμ<inf>x</inf>+αμ<inf>xx</inf>+βμ <inf>xxx</inf>+γμ<inf>xxxx</inf> = 0 where for positive constants α and γ in equation are small-amplitude. This equation describe long waves on a viscous fluid flowing down along an inclined plane unstable drift waves in plasma and stress waves in fragmentated porous media. When β = 0 equation is reduced to the Kuramoto-Sivashinsky equation which is the simplest equations that appears in modelling the nonlinear behaviour of disturbances for a sufficiently large class of active dissipative media. It represents the evolution of concentration in chemical reactions hydrodynamic instabilities in laminar flame fronts and at the interface of two viscous fluids. © Springer-Verlag Berlin Heidelberg 2014. © 2014 Elsevier B.V. All rights reserved.Englishinfo:eu-repo/semantics/closedAccess(g′/g)-expansion Method, The Active-dissipative Dispersive Media Equation, Wave Solutions RThe Active-Dissipative Dispersive Media Equation(G′/G)-Expansion MethodWave Solutions rConference Object