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Teoreticheskaya i Matematicheskaya Fizika, 2001, Volume 129, Number 1, Pages 31–37
DOI: https://doi.org/10.4213/tmf517 (Mi tmf517) 		 
This article is cited in 59 scientific papers (total in 59 papers)

A New Integrable Case for the Kirchhoff Equation

V. V. Sokolov

Landau Institute for Theoretical Physics, Centre for Non-linear Studies
Full-text PDF (190 kB) Citations (59)
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DOI: https://doi.org/10.4213/tmf517
Abstract: A new integrable case is found for the Kirchhoff equation. The additional integral of motion is a fourth-degree polynomial, the principal metric is diagonal with the eigenvalues $a_1=a_2=1$ and $a_3=2$, and the other two metrics are nondiagonal.
Received: 04.06.2001
English version:
Theoretical and Mathematical Physics, 2001, Volume 129, Issue 1, Pages 1335–1340
DOI: https://doi.org/10.1023/A:1012411326312
Bibliographic databases:
Language: Russian
Citation: V. V. Sokolov, “A New Integrable Case for the Kirchhoff Equation”, TMF, 129:1 (2001), 31–37; Theoret. and Math. Phys., 129:1 (2001), 1335–1340
Citation in format AMSBIB
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    • This publication is cited in the following 59 articles:
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