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On exact solutions for damped anharmonic oscillators
1989 (English)In: Journal of Physics A: Mathematical and General, ISSN 0305-4470, E-ISSN 1361-6447, Vol. 22, p. 195-199Article in journal (Refereed) Published
Abstract [en]

For arbitrary functions f1, f2 and f3 the anharmonic oscillator x+f1(t)x+f2(t)x+f3(t)x3=0 cannot be solved in closed form (i.e. the general solution cannot be expressed as elliptic functions). The authors apply the Painleve test to obtain the constraint on the functions f1, f2 and f3 for which the equation passes the test. The constraint on f1, f2 and f3 (i.e the differential equation which f1, f2, and f3 obey) is discussed and solutions are given.

Place, publisher, year, edition, pages
1989. Vol. 22, p. 195-199
National Category
Mathematical Analysis
Research subject
Mathematics
Identifiers
URN: urn:nbn:se:ltu:diva-9970DOI: 10.1088/0305-4470/22/6/002Local ID: 8b490620-5a04-11dc-8a1d-000ea68e967bOAI: oai:DiVA.org:ltu-9970DiVA, id: diva2:982909
Note
Upprättat; 1989; 20070903 (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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