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Invariant Lagrangians and a new method of integration of nonlinear equations.
Ansvarlig organisasjon
2005 (engelsk)Inngår i: Journal of Mathematical Analysis and Applications, ISSN 0022-247X, E-ISSN 1096-0813, Vol. 304, nr 1, s. 212-235Artikkel i tidsskrift (Fagfellevurdert) 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.

sted, utgiver, år, opplag, sider
The Netherlands: ACADEMIC PRESS INC ELSEVIER SCIENCE , 2005. Vol. 304, nr 1, s. 212-235
Emneord [en]
Invariant, Lagrangians, nonlinear equations, Lie algebras, inverse variational problem.
HSV kategori
Identifikatorer
URN: urn:nbn:se:bth-8841DOI: 10.1016/j.jmaa.2004.09.018ISI: 000227733900016Lokal ID: oai:bth.se:forskinfoA43537C14D15709DC12573BE006ABD09OAI: oai:DiVA.org:bth-8841DiVA, id: diva2:836596
Tilgjengelig fra: 2012-09-18 Laget: 2007-12-27 Sist oppdatert: 2017-12-04bibliografisk kontrollert

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