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Lie-symmetry vector fields for linear and nonlinear wave equations
1989 (English)In: International journal of theoretical physics, ISSN 0020-7748, E-ISSN 1572-9575, Vol. 28, no 11, p. 1397-1403Article in journal (Refereed) Published
Abstract [en]

We derive the Lie symmetry vector fields for the linear wave equation .. u=0 and nonlinear wave equation .. u=u 3. The conformal vector fields for the underlying metric tensor fieldg are also given. We construct the conservation laws and derive similarity solutions. Furthermore, we perform a Painlevé test for the nonlinear wave equation and discuss whether Lie-Bäcklund vector fields exist.

Place, publisher, year, edition, pages
1989. Vol. 28, no 11, p. 1397-1403
National Category
Mathematical Analysis
Research subject
Mathematics
Identifiers
URN: urn:nbn:se:ltu:diva-4849DOI: 10.1007/BF00671857Local ID: 2da40980-523d-11dc-959a-000ea68e967bOAI: oai:DiVA.org:ltu-4849DiVA, id: diva2:977723
Note
Upprättat; 1989; 20070824 (ysko)Available from: 2016-09-29 Created: 2016-09-29 Last updated: 2018-03-08Bibliographically approved

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Euler, Norbert

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