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Traveling wave solutions and stability behaviours under advection dominance for singularly perturbed advection-diffusion-reaction processes

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dc.contributor.authorCosgun, Tahir
dc.contributor.authorSari, Murat
dc.date.accessioned2026-06-27T14:23:55Z
dc.date.issued2020
dc.description.abstractIn this paper, different traveling wave solutions of the kink type are obtained for significant advection-diffusion-reaction mechanisms such as the singularly perturbed generalized Burgers Huxley and Burgers Fisher equations. To achieve this, a nonlinear transformation and an ansatz method have been utilized. Stability analysis is performed on different types of equations to detect the effects of the coefficients on the stability of the obtained solutions. Particularly under advection dominant cases, the stability of the derived solutions is examined separately. It is observed that especially the coefficient of nonlinearity, and partly one of the reaction coefficients, determine the stability behaviour under advection dominance. (c) 2020 Elsevier Ltd. All rights reserved.en
dc.description.urihttps://doi.org/10.1016/j.chaos.2020.109881
dc.identifier.doi10.1016/j.chaos.2020.109881
dc.identifier.eissn1873-2887
dc.identifier.issn0960-0779
dc.identifier.urihttps://hdl.handle.net/20.500.14981/60164
dc.identifier.volume138
dc.identifier.wos000571059300006
dc.language.isoeng
dc.publisherPERGAMON-ELSEVIER SCIENCE LTD
dc.relation.ispartofCHAOS SOLITONS & FRACTALS
dc.subjectSingularly perturbed problems
dc.subjectEvolution equations
dc.subjectTraveling waves
dc.subjectStability analysis
dc.subjectGENERALIZED BURGERS-HUXLEY
dc.subjectEQUATIONS
dc.subjectMathematics
dc.subjectPhysics
dc.titleTraveling wave solutions and stability behaviours under advection dominance for singularly perturbed advection-diffusion-reaction processes
dc.typeArticle
dspace.entity.typePublication
local.import.sourceWOS

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