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Discrete symmetries of nonlinear ordinary differential equations
2003 (English)Independent thesis Advanced level (degree of Master (One Year)), 10 credits / 15 HE creditsStudent thesis
Abstract [en]

A method proposed by P. E. Hydon for determining discrete symmetries of ordinary differential equations once the Lie symmetry algebra is known is considered. It is also used to determine the real discrete point symmetries of some equations. We give also a brief overview of continuous symmetry transformations as well as a discussion about symmetries in general. Finally, a new type of discrete and nonlocal symmetry introduced by N. Euler, T. Wolf, P.G.L Leach and M. Euler connected to the generalized Sundman transformation is investigated, namely the Sundman symmetry.

Place, publisher, year, edition, pages
Keyword [en]
Physics Chemistry Maths, Nonlinear ordinary differential equations, Discrete and non-, local transformations, Symmetries
Keyword [sv]
Fysik, Kemi, Matematik
URN: urn:nbn:se:ltu:diva-49717ISRN: LTU-C/DUPP--03/02--SELocal ID: 70903fd0-a7b1-45cd-bb60-7da786523b71OAI: diva2:1023064
Subject / course
Student thesis, at least 15 credits
Educational program
Mathematics, master's level
Validerat; 20101217 (root)Available from: 2016-10-04 Created: 2016-10-04Bibliographically approved

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