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Lagrangian approach to evolution equations: Symmetries and conservation laws
KTH, Tidigare Institutioner, Matematik.
2004 (engelsk)Inngår i: Nonlinear dynamics, ISSN 0924-090X, E-ISSN 1573-269X, Vol. 36, nr 1, s. 29-40Artikkel i tidsskrift (Fagfellevurdert) Published
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 Schrodinger and Korteweg-de Vries type systems.

sted, utgiver, år, opplag, sider
2004. Vol. 36, nr 1, s. 29-40
Emneord [en]
conservation laws, evolution equations, Lagrangians for extended systems, symmetries
HSV kategori
Identifikatorer
URN: urn:nbn:se:kth:diva-23568DOI: 10.1023/B:NODY.0000034644.82259.1fISI: 000222611300004Scopus ID: 2-s2.0-3242777900OAI: oai:DiVA.org:kth-23568DiVA, id: diva2:342266
Merknad
QC 20100525 QC 20111028Tilgjengelig fra: 2010-08-10 Laget: 2010-08-10 Sist oppdatert: 2017-12-12bibliografisk kontrollert

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