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Invariant Lagrangians and a new method of integration of nonlinear equations.
Ansvarig organisation
2005 (Engelska)Ingår i: Journal of Mathematical Analysis and Applications, ISSN 0022-247X, E-ISSN 1096-0813, Vol. 304, nr 1, s. 212-235Artikel i tidskrift (Refereegranskat) Published
Abstract [en]

A method for solving the inverse variational problem for differential equations admitting a Lie group is presented. The method is used for determining invariant Lagrangians and integration of second-order nonlinear differential equations admitting two-dimensional non-commutative Lie algebras. The method of integration suggested here is different from Lie's classical method of integration of second-order ordinary differential equations based on canonical forms of two-dimensional Lie algebras. The new method reveals existence and significance of one-parameter families of singular solutions to nonlinear equations of second order.

Ort, förlag, år, upplaga, sidor
The Netherlands: ACADEMIC PRESS INC ELSEVIER SCIENCE , 2005. Vol. 304, nr 1, s. 212-235
Nyckelord [en]
Invariant, Lagrangians, nonlinear equations, Lie algebras, inverse variational problem.
Nationell ämneskategori
Matematisk analys
Identifikatorer
URN: urn:nbn:se:bth-8841DOI: 10.1016/j.jmaa.2004.09.018ISI: 000227733900016Lokalt ID: oai:bth.se:forskinfoA43537C14D15709DC12573BE006ABD09OAI: oai:DiVA.org:bth-8841DiVA, id: diva2:836596
Tillgänglig från: 2012-09-18 Skapad: 2007-12-27 Senast uppdaterad: 2017-12-04Bibliografiskt granskad

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