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Teoreticheskaya i Matematicheskaya Fizika, 1990, Volume 83, Number 3, Pages 334–341 (Mi tmf5807)  
Integrability conditions for the equations of an asymmetric chiral field on $SO(4)$

D. D. Tskhakaya (Jr.)
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Abstract: The possibility of integrating the equations of an asymmetric chiral field on $SO(4)$ by the inverse scattering method is investigated. The maximal number of integrals of the motion of the corresponding system of ordinary differential equations is found. It is shown that when the condition (27) is satisfied, the system cannot be integrated by this method except for the cases (28) and (29).
Received: 16.05.1989
English version:
Theoretical and Mathematical Physics, 1990, Volume 83, Issue 3, Pages 573–578
DOI: https://doi.org/10.1007/BF01018025
Bibliographic databases:
Language: Russian
Citation: D. D. Tskhakaya (Jr.), “Integrability conditions for the equations of an asymmetric chiral field on $SO(4)$”, TMF, 83:3 (1990), 334–341; Theoret. and Math. Phys., 83:3 (1990), 573–578
Citation in format AMSBIB
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\by D.~D.~Tskhakaya (Jr.)
\paper Integrability conditions for the equations of~an~asymmetric chiral field on~$SO(4)$
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\yr 1990
\vol 83
\issue 3
\pages 334--341
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\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1070691}
\transl
\jour Theoret. and Math. Phys.
\yr 1990
\vol 83
\issue 3
\pages 573--578
\crossref{https://doi.org/10.1007/BF01018025}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=A1990EX50100002}
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