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Teoreticheskaya i Matematicheskaya Fizika, 2007, Volume 151, Number 3, Pages 495–509
DOI: https://doi.org/10.4213/tmf6062 (Mi tmf6062) 		 
This article is cited in 16 scientific papers (total in 16 papers)

Jacobi's last multiplier, Lie symmetries, and hidden linearity: "Goldfishes" galore

M. C. Nucci

Università degli Studi di Perugia
Full-text PDF (448 kB) Citations (16)
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DOI: https://doi.org/10.4213/tmf6062
Abstract: In addition to the reduction method, we present a novel application of Jacobi's last multiplier for finding Lie symmetries of ordinary differential equations algorithmically. These methods and Lie symmetries allow unveiling the hidden linearity of certain nonlinear equations that are relevant in physics. We consider the Einstein–Yang–Mills equations and Calogero's many-body problem in the plane as examples.
Keywords: Lie group analysis, first integral, Jacobi's last multiplier.
English version:
Theoretical and Mathematical Physics, 2007, Volume 151, Issue 3, Pages 851–862
DOI: https://doi.org/10.1007/s11232-007-0070-8
Bibliographic databases:
Language: Russian
Citation: M. C. Nucci, “Jacobi's last multiplier, Lie symmetries, and hidden linearity: "Goldfishes" galore”, TMF, 151:3 (2007), 495–509; Theoret. and Math. Phys., 151:3 (2007), 851–862
Citation in format AMSBIB
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  • https://www.mathnet.ru/eng/tmf/v151/i3/p495
    • This publication is cited in the following 16 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Теоретическая и математическая физика Theoretical and Mathematical Physics
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    References:64
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