NDLI: Symmetries and differential equations

Content Provider	Scilit
Author	Meinhardt, J. R.
Copyright Year	1981
Description	Journal: Journal of Physics A: General Physics The knowledge of the maximal Lie group or abstract monoid of symmetries of an ordinary non-singular differential equation (or system of equations) allows us to obtain solutions of them. Traditional similarity analysis of point transformations is extended to non-point transformations (inclusion of derivatives), giving analytic expressions for solutions, where previously only numerical methods were used. Examples are given, and the didactic aspect is emphasised.
Related Links	http://iopscience.iop.org/article/10.1088/0305-4470/14/8/015/pdf
Ending Page	1914
Page Count	22
Starting Page	1893
ISSN	00223689
DOI	10.1088/0305-4470/14/8/015
Journal	Journal of Physics A: General Physics
Issue Number	8
Volume Number	14
Language	English
Publisher	IOP Publishing
Publisher Date	1981-08-01
Access Restriction	Open
Subject Keyword	Journal: Journal of Physics A: General Physics Applied Mathematics Differential Equation Lie Group Maximal Lie Numerical Methods Point Transformations Traditional Similarity
Content Type	Text
Resource Type	Article

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Symmetries and differential equations