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Lectures on the Theory of Group Properties of Differential Equations by L. V. Ovsyannikov
Blekinge Tekniska Högskola [bth.se], School of Engineering - Dept. of Mathematics & Natural Sciences.
2013 (English)Collection (editor) (Other academic)
Abstract [en]

These lecturers provide a clear introduction to Lie group methods for determining and using symmetries of differential equations, a variety of their applications in gas dynamics and other nonlinear models as well as the author's remarkable contribution to this classical subject. It contains material that is useful for students and teachers but cannot be found in modern texts. For example, the theory of partially invariant solutions developed by Ovsyannikov provides a powerful tool for solving systems of nonlinear differential equations and investigating complicated mathematical models.

Place, publisher, year, edition, pages
Beijing: Higher education Press& World Scientific , 2013.
Keyword [en]
Lie group methods, partially invariant solutions, gas dynamics, symmetries
National Category
Mathematics
Identifiers
URN: urn:nbn:se:bth-6878DOI: http://www.worldscientific.com/worldscibooks/10.1142/8762Local ID: oai:bth.se:forskinfoCFA7DB4D7526A845C1257BE5004F11EBISBN: 978-981-4460-81-1OAI: oai:DiVA.org:bth-6878DiVA: diva2:834432
Note
http://www.worldscientific.com/worldscibooks/10.1142/8762Available from: 2013-09-16 Created: 2013-09-13 Last updated: 2015-06-30Bibliographically approved

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