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Transformation properties of x''+f1(t)x + f2(t)x + f3(t)xn = 0
Luleå University of Technology, Department of Engineering Sciences and Mathematics, Mathematical Science.
1997 (English)In: Journal of Nonlinear Mathematical Physics, ISSN 1402-9251, E-ISSN 1776-0852, Vol. 4, no 3-4, 310-337 p.Article in journal (Refereed) Published
Abstract [en]

The author studies the integrability of the nonlinear second-order ordinary differential equation described in the title. Using the invertible point transformation technique, Lie point symmetry technique and the Painlevé analysis, he classifies all integrable cases. The Lie algebra structure of the Lie point symmetries is also discussed. Finally, the three different methods are compared.

Place, publisher, year, edition, pages
1997. Vol. 4, no 3-4, 310-337 p.
National Category
Mathematical Analysis
Research subject
Mathematics
Identifiers
URN: urn:nbn:se:ltu:diva-7616DOI: 10.2991/jnmp.1997.4.3-4.7Local ID: 60367e30-ac40-11db-aeba-000ea68e967bOAI: oai:DiVA.org:ltu-7616DiVA: diva2:980506
Note
Godkänd; 1997; 20070103 (kani)Available from: 2016-09-29 Created: 2016-09-29 Last updated: 2017-11-24Bibliographically approved

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