Lie groups and Bäcklund transformations : application to nonlinear physical models

A diversity of physical phenomena is modelled by systems of nonlinear differential equations not, in general, amenable to exact solution. However, in certain cases, exploitation of hidden symmetries in the nonlinear models can lead to solutions and reduction to canonical systems. Invariance under Li...

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Bibliographic Details
Main Author: Ramgulam, Usha
Published: Loughborough University 1991
Subjects:
510
Online Access:http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.304638
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spelling ndltd-bl.uk-oai-ethos.bl.uk-3046382017-11-03T03:17:33ZLie groups and Bäcklund transformations : application to nonlinear physical modelsRamgulam, Usha1991A diversity of physical phenomena is modelled by systems of nonlinear differential equations not, in general, amenable to exact solution. However, in certain cases, exploitation of hidden symmetries in the nonlinear models can lead to solutions and reduction to canonical systems. Invariance under Lie groups and/or Bäcklund transformations are two pivotal methods in this regard.510Pure mathematicsLoughborough Universityhttp://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.304638https://dspace.lboro.ac.uk/2134/26895Electronic Thesis or Dissertation
collection NDLTD
sources NDLTD
topic 510
Pure mathematics
spellingShingle 510
Pure mathematics
Ramgulam, Usha
Lie groups and Bäcklund transformations : application to nonlinear physical models
description A diversity of physical phenomena is modelled by systems of nonlinear differential equations not, in general, amenable to exact solution. However, in certain cases, exploitation of hidden symmetries in the nonlinear models can lead to solutions and reduction to canonical systems. Invariance under Lie groups and/or Bäcklund transformations are two pivotal methods in this regard.
author Ramgulam, Usha
author_facet Ramgulam, Usha
author_sort Ramgulam, Usha
title Lie groups and Bäcklund transformations : application to nonlinear physical models
title_short Lie groups and Bäcklund transformations : application to nonlinear physical models
title_full Lie groups and Bäcklund transformations : application to nonlinear physical models
title_fullStr Lie groups and Bäcklund transformations : application to nonlinear physical models
title_full_unstemmed Lie groups and Bäcklund transformations : application to nonlinear physical models
title_sort lie groups and bäcklund transformations : application to nonlinear physical models
publisher Loughborough University
publishDate 1991
url http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.304638
work_keys_str_mv AT ramgulamusha liegroupsandbacklundtransformationsapplicationtononlinearphysicalmodels
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