Lie groups and Bäcklund transformations: application to nonlinear physical models
thesisposted on 10.10.2017 by Usha Ramgulam
In order to distinguish essays and pre-prints from academic theses, we have a separate category. These are often much longer text based documents than a paper.
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