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Equivalence Group of Lie's Second-Order Equation of Type III
Blekinge Institute of Technology, School of Engineering.
2012 (English)Independent thesis Advanced level (degree of Master (Two Years))Student thesisAlternative title
Equivalence Group of Lie's Second-Order Equation of Type III (Swedish)
Abstract [en]

Based on symmetry and invariance principles, Lie group analysis is the only systematic method for solving nonlinear differential equations analytically. Nonlinear second-order ordinary differential equations admitting two-dimensional Lie algebras can be transformed into one of the four types of canonical forms via Lie's integration method. In this thesis, Lie's second-order equation of type III is considered from the point of view of equivalence transformations. The generators of the equivalence group and the principal Lie algebra are calculated.

Place, publisher, year, edition, pages
2012. , 27 p.
Keyword [en]
equivalence transformation, second-order ordinary differential equation, principal Lie algebra
National Category
Mathematics Mathematical Analysis
URN: urn:nbn:se:bth-5012Local ID: diva2:832369
Physics, Chemistry, Mathematics
Available from: 2015-04-22 Created: 2012-04-03 Last updated: 2015-06-30Bibliographically approved

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MathematicsMathematical Analysis

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ReferencesLink to record
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