Thesis-1991-Ramgulam.pdf (2.88 MB)
Lie groups and Bäcklund transformations: application to nonlinear physical models
thesisposted on 2017-10-10, 14:19 authored by Usha Ramgulam
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. [Continues.]
A studentship from LUT and an ORS award are acknowledged.
- Mathematical Sciences
Publisher© Usha Ramgulam
Publisher statementThis work is made available according to the conditions of the Creative Commons Attribution-NonCommercial-NoDerivatives 2.5 Generic (CC BY-NC-ND 2.5) licence. Full details of this licence are available at: http://creativecommons.org/licenses/by-nc-nd/2.5/
NotesA Doctoral Thesis. Submitted in partial fulfilment of the requirements for the award of Doctor of Philosophy at Loughborough University.