Lagrangian approach to evolution equations: symmetries and conservation laws.
Blekinge Institute of Technology, School of Engineering, Department of Mathematics and Natural Sciences2004 (English)In: Journal of Mathematical Analysis and Applications, ISSN 0022-247X, E-ISSN 1096-0813, Vol. 36, no 1, 29-40 p.Article in journal (Refereed) PublishedAlternative title
Lagrangian approach to evolution equations : symmetries and conservation laws. (Swedish)
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.
Place, publisher, year, edition, pages
Dordrecht: KLUWER ACADEMIC PUBL , 2004. Vol. 36, no 1, 29-40 p.
Differential equations, Lie group analysis, Lagrangian, symmetries, conservation laws
IdentifiersURN: urn:nbn:se:bth-8855ISI: 000222611300004Local ID: oai:bth.se:forskinfo6D9923B44AAAC118C12573BE003BC9F7OAI: oai:DiVA.org:bth-8855DiVA: diva2:836610