Symmetry reductions of systems of partial differential equations using conservation laws

Simple item page
dc.contributor.authorMorris, R. M.
dc.date.accessioned2014-02-07T06:43:51Z
dc.date.available2014-02-07T06:43:51Z
dc.date.issued2014-02-07
dc.description.abstractThere is a well established connection between one parameter Lie groups of transformations and conservation laws for differential equations. In this thesis, we construct conservation laws via the invariance and multiplier approach based on the wellknown result that the Euler-Lagrange operator annihilates total divergences. This technique will be applied to some plasma physics models. We show that the recently developed notion of the association between Lie point symmetry generators and conservation laws lead to double reductions of the underlying equation and ultimately to exact/invariant solutions for higher-order nonlinear partial di erential equations viz., some classes of Schr odinger and KdV equations.en_ZA
dc.identifier.urihttp://hdl.handle.net10539/13685
dc.language.isoenen_ZA
dc.subject.lcshSymmetry (Mathematics).
dc.subject.lcshConservation laws (Mathematics).
dc.subject.lcshDifferential equations, Partial.
dc.titleSymmetry reductions of systems of partial differential equations using conservation lawsen_ZA
dc.typeThesisen_ZA
Files
Original bundle
Now showing 1 - 3 of 3
No Thumbnail Available
Name:
RMorris - list of corrections - 10th September 2013.pdf
Size:
55.85 KB
Format:
Adobe Portable Document Format
Download
No Thumbnail Available
Name:
RMorris - PhD thesis - 10th September 2013.pdf
Size:
398.58 KB
Format:
Adobe Portable Document Format
Download
No Thumbnail Available
Name:
RMorris - PhD thesis - declaration page - 10th September 2013.pdf
Size:
101.68 KB
Format:
Adobe Portable Document Format
Download
License bundle
Now showing 1 - 1 of 1
No Thumbnail Available
Name:
license.txt
Size:
1.71 KB
Format:
Item-specific license agreed upon to submission
Description:
Download
Collections
ETD Collection