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Lagrangian approach to evolution equations: symmetries and conservation laws.
Ansvarig organisation
2004 (Engelska)Ingår i: Journal of Mathematical Analysis and Applications, ISSN 0022-247X, E-ISSN 1096-0813, Vol. 36, nr 1, s. 29-40Artikel i tidskrift (Refereegranskat) PublishedAlternativ titel
Lagrangian approach to evolution equations : symmetries and conservation laws. (Svenska)
Abstract [en]

We show that one can apply a Lagrangian approach to certain evolution equations by considering them together with their associated equations. Consequently, one can employ Noether's theorem and derive conservation laws from symmetries of coupled systems of evolution equations. We discuss in detail the linear and non-linear heat equations as well as the Burgers equation and obtain new non-local conservation laws for the non-linear heat and the Burgers equations by extending their symmetries to the associated equations. We also provide Lagrangians for non-linear Schrödinger and Korteweg-de Vries type systems.

Ort, förlag, år, upplaga, sidor
Dordrecht: KLUWER ACADEMIC PUBL , 2004. Vol. 36, nr 1, s. 29-40
Nyckelord [en]
Differential equations, Lie group analysis, Lagrangian, symmetries, conservation laws
Nationell ämneskategori
Matematisk analys
Identifikatorer
URN: urn:nbn:se:bth-8855ISI: 000222611300004Lokalt ID: oai:bth.se:forskinfo6D9923B44AAAC118C12573BE003BC9F7OAI: oai:DiVA.org:bth-8855DiVA, id: diva2:836610
Tillgänglig från: 2012-09-18 Skapad: 2007-12-27 Senast uppdaterad: 2017-12-04Bibliografiskt granskad

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