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Optimal system of subalgebras and invariant solutions for a nonlinear wave equation
Blekinge Institute of Technology, School of Engineering.
2009 (English)Independent thesis Advanced level (degree of Master (Two Years))Student thesis
Abstract [en]

This thesis is devoted to use Lie group analysis to obtain all invariant solutions by constructing optimal system of one-dimensional subalgebras of the Lie algebra L5 for a nonlinear wave equation. I will show how the given symmetries ( Eq.2) are admitted by using partial differential equation (Eq.1), In addition to obtain the commutator table by using the same given symmetries. Subsequently, I calculate the transformations of the generators with the Lie algebra L5, which provide the 5-parameter group of linear transformations for the operators. Finally, I construct the invariant solutions for each member of the optimal system.

Place, publisher, year, edition, pages
2009. , 56 p.
Keyword [en]
Non-linear wave equation, Admitted, Symmetries, Commutator table, Lie equations, Generators, Optimal system, Invariants.
National Category
Mathematics Mathematical Analysis
Identifiers
URN: urn:nbn:se:bth-2675Local ID: oai:bth.se:arkivexD2D95F86A3014B84C125769400027F1EOAI: oai:DiVA.org:bth-2675DiVA: diva2:829963
Uppsok
Physics, Chemistry, Mathematics
Supervisors
Available from: 2015-04-22 Created: 2009-12-22 Last updated: 2015-06-30Bibliographically approved

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MathematicsMathematical Analysis

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CiteExportLink to record
Permanent link

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Citation style
  • apa
  • ieee
  • modern-language-association-8th-edition
  • vancouver
  • Other style
More styles
Language
  • de-DE
  • en-GB
  • en-US
  • fi-FI
  • nn-NO
  • nn-NB
  • sv-SE
  • Other locale
More languages
Output format
  • html
  • text
  • asciidoc
  • rtf