DSpace@Çankaya

Invariant Subspace and Lie Symmetry Analysis, Exact Solutions and Conservation Laws of A Nonlinear Reaction-Diffusion Murray Equation Arising In Mathematical Biology

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dc.contributor.author Aliyu, Aliyu Isa
dc.contributor.author İnç, Mustafa
dc.contributor.author Yusuf, Abdullahi
dc.contributor.author Baleanu, Dumitru
dc.date.accessioned 2020-03-27T21:25:11Z
dc.date.available 2020-03-27T21:25:11Z
dc.date.issued 2018-06
dc.identifier.citation Aliyu, Aliyu Isa...et al. (2018). "Invariant Subspace and Lie Symmetry Analysis, Exact Solutions and Conservation Laws of a Nonlinear Reaction-Diffusion Murray Equation Arising in Mathematical Biology", Journal of Advanced Physics, Vol. 7, No. 2, pp. 176-182. tr_TR
dc.identifier.issn 2168-1996
dc.identifier.uri http://hdl.handle.net/20.500.12416/2777
dc.description.abstract Reaction-diffusion type equations are seen as models of pattern formation in biology and chemistry. The concept of Lie symmetry and invariant subspace (ISM) methods play a vital role in the study of partial differential equations (PDEs). Lie symmetry method helps to derive point symmetries, symmetry algebra and exact solution by reducing the PDEs to and ordinary differential equation (ODEs), while the invariant subspace method determines an invariant subspace and construct exact solutions of the PDEs by also reducing the PDEs to ODEs. In this article, the two methods are applied to derive the exact solutions of a nonlinear reaction-diffusion murray equation appearing in mathematical biology. Several kinds of solutions of the model are presented, including topological, singular and exponential function solutions. We classify the conservation laws (Cls) of the model using the multipliers approach. The paper conclude by giving a comprehensive physical interpretations and comparative study of the results showing the molecular nature of the acquired solutions. tr_TR
dc.language.iso eng tr_TR
dc.publisher Amer Scientific Publishers tr_TR
dc.relation.isversionof 10.1166/jap.2018.1414 tr_TR
dc.rights info:eu-repo/semantics/closedAccess tr_TR
dc.subject Lie Symmetry tr_TR
dc.subject Invariant Subspace Method tr_TR
dc.subject Conservation Laws tr_TR
dc.subject Nonlinear Reaction-Diffusion Murray Equation tr_TR
dc.title Invariant Subspace and Lie Symmetry Analysis, Exact Solutions and Conservation Laws of A Nonlinear Reaction-Diffusion Murray Equation Arising In Mathematical Biology tr_TR
dc.type article tr_TR
dc.relation.journal Journal of Advanced Physics tr_TR
dc.contributor.authorID 56389 tr_TR
dc.identifier.volume 7 tr_TR
dc.identifier.issue 2 tr_TR
dc.identifier.startpage 176 tr_TR
dc.identifier.endpage 182 tr_TR
dc.contributor.department Çankaya Üniversitesi, Fen Edebiyat Fakültesi, Matematik Bölümü tr_TR


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