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Lie symmetries and Painlevé test for explicitly space- and time-dependent nonlinear wave equations
1993 (English)In: Journal of Physics A: Mathematical and General, ISSN 0305-4470, E-ISSN 1361-6447, Vol. 26, p. 307-313Article in journal (Refereed) Published
Abstract [en]

The authors investigate the Lie symmetry vector fields of the wave equation Square Operator u+f(x1, . . ., xn, u)=0 where f is some nonlinear smooth function and n>or=2. The Painleve test is considered for the construction of explicitly space- and time-dependent integrable one-space-dimensional nonlinear wave equations.

Place, publisher, year, edition, pages
1993. Vol. 26, p. 307-313
National Category
Mathematical Analysis
Research subject
Mathematics
Identifiers
URN: urn:nbn:se:ltu:diva-11188DOI: 10.1088/0305-4470/26/6/003Local ID: 855de8c0-93c8-11de-8da0-000ea68e967bOAI: oai:DiVA.org:ltu-11188DiVA, id: diva2:984137
Note

Upprättat; 1993; 20090828 (ysko)

Available from: 2016-09-29 Created: 2016-09-29 Last updated: 2018-03-08Bibliographically approved

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Euler, NorbertShul'ga, Marianna W.

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