Investigation of the Equations Modelling Chemical Waves Using Lie Group Analysis

Investigation of the Equations Modelling Chemical Waves Using Lie Group Analysis

A system of nonlinear di fferential equations, namely, the Belousov-Zhabotinskii reaction model has been investigated for nonlinear self-adjointness using the recent work of Professor N.H.Ibragimov. It is shown that the model is not nonlinearly self-adjoint. The symmetries of the system and nonlinea...

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Bibliographic Details
Main Author: Nikolaishvili, George
Format: Others
Language:English
Published: Blekinge Tekniska Högskola, Sektionen för ingenjörsvetenskap 2012
Subjects:
Nonlinear Self-adjointness
Belousov-Zhabotinskii Reaction Model
Symmetry
Conservation Law
Online Access:http://urn.kb.se/resolve?urn=urn:nbn:se:bth-3996
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spelling ndltd-UPSALLA1-oai-DiVA.org-bth-39962015-07-01T04:49:07ZInvestigation of the Equations Modelling Chemical Waves Using Lie Group AnalysisengInvestigation of the Equations Modelling Chemical Waves Using Lie Group AnalysisNikolaishvili, GeorgeBlekinge Tekniska Högskola, Sektionen för ingenjörsvetenskap2012Nonlinear Self-adjointnessBelousov-Zhabotinskii Reaction ModelSymmetryConservation LawA system of nonlinear di fferential equations, namely, the Belousov-Zhabotinskii reaction model has been investigated for nonlinear self-adjointness using the recent work of Professor N.H.Ibragimov. It is shown that the model is not nonlinearly self-adjoint. The symmetries of the system and nonlinear conservation laws are calculated. The modi fied system, which is nonlinearly self-adjoint, is also analysed. Its symmetries and conservation laws are presented. Student thesisinfo:eu-repo/semantics/bachelorThesistexthttp://urn.kb.se/resolve?urn=urn:nbn:se:bth-3996Local oai:bth.se:arkivexCF7326E4006D56F0C12579D5005FF30Aapplication/pdfinfo:eu-repo/semantics/openAccess
collection NDLTD
language English
format Others
sources NDLTD
topic Nonlinear Self-adjointness
Belousov-Zhabotinskii Reaction Model
Symmetry
Conservation Law
spellingShingle Nonlinear Self-adjointness
Belousov-Zhabotinskii Reaction Model
Symmetry
Conservation Law
Nikolaishvili, George
Investigation of the Equations Modelling Chemical Waves Using Lie Group Analysis
description A system of nonlinear di fferential equations, namely, the Belousov-Zhabotinskii reaction model has been investigated for nonlinear self-adjointness using the recent work of Professor N.H.Ibragimov. It is shown that the model is not nonlinearly self-adjoint. The symmetries of the system and nonlinear conservation laws are calculated. The modi fied system, which is nonlinearly self-adjoint, is also analysed. Its symmetries and conservation laws are presented.
author Nikolaishvili, George
author_facet Nikolaishvili, George
author_sort Nikolaishvili, George
title Investigation of the Equations Modelling Chemical Waves Using Lie Group Analysis
title_short Investigation of the Equations Modelling Chemical Waves Using Lie Group Analysis
title_full Investigation of the Equations Modelling Chemical Waves Using Lie Group Analysis
title_fullStr Investigation of the Equations Modelling Chemical Waves Using Lie Group Analysis
title_full_unstemmed Investigation of the Equations Modelling Chemical Waves Using Lie Group Analysis
title_sort investigation of the equations modelling chemical waves using lie group analysis
publisher Blekinge Tekniska Högskola, Sektionen för ingenjörsvetenskap
publishDate 2012
url http://urn.kb.se/resolve?urn=urn:nbn:se:bth-3996
work_keys_str_mv AT nikolaishviligeorge investigationoftheequationsmodellingchemicalwavesusingliegroupanalysis
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