Change search
CiteExportLink to record
Permanent link

Direct link
Cite
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
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
Identifiers
URN: urn:nbn:se:bth-5012Local ID: oai:bth.se:arkivex9D702AC2E1FC49DBC12579D5005E1EEEOAI: oai:DiVA.org:bth-5012DiVA: diva2:832369
Uppsok
Physics, Chemistry, Mathematics
Supervisors
Available from: 2015-04-22 Created: 2012-04-03 Last updated: 2015-06-30Bibliographically approved

Open Access in DiVA

fulltext(241 kB)152 downloads
File information
File name FULLTEXT01.pdfFile size 241 kBChecksum SHA-512
deb30766aa6f42a2dfe59d58f7dfcbc127d09d3306d907eaa0b989616dcc9fdeee775cfae225d411e6a107d38c0ab4dda6a60c41cf37e944baa91f86c5749162
Type fulltextMimetype application/pdf

By organisation
School of Engineering
MathematicsMathematical Analysis

Search outside of DiVA

GoogleGoogle Scholar
Total: 152 downloads
The number of downloads is the sum of all downloads of full texts. It may include eg previous versions that are now no longer available

urn-nbn

Altmetric score

urn-nbn
Total: 50 hits
CiteExportLink to record
Permanent link

Direct link
Cite
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