Abstract:
By means of the scalar L–A-pair framework, the explicit expressions are found for
the simplest soliton solutions of the algebra Ak connected with the fundamental (vector)
representations of the dimension k+1.
Citation:
A. N. Leznov, “Simplest soliton solutions of the equations of the periodic Toda chain of the series Ak in the formalism of the scalar L–A pair”, TMF, 71:3 (1987), 370–380; Theoret. and Math. Phys., 71:3 (1987), 598–605
\Bibitem{Lez87}
\by A.~N.~Leznov
\paper Simplest soliton solutions of the equations of the periodic Toda chain of the series $A_k$ in the formalism of the scalar $L$--$A$ pair
\jour TMF
\yr 1987
\vol 71
\issue 3
\pages 370--380
\mathnet{http://mi.mathnet.ru/tmf4966}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=910274}
\transl
\jour Theoret. and Math. Phys.
\yr 1987
\vol 71
\issue 3
\pages 598--605
\crossref{https://doi.org/10.1007/BF01017092}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=A1987L575800007}
Linking options:
https://www.mathnet.ru/eng/tmf4966
https://www.mathnet.ru/eng/tmf/v71/i3/p370
This publication is cited in the following 4 articles:
C.P. Constantinidis, L.A. Ferreira, J.F. Gomes, A.H. Zimerman, “Connection between the affine and conformal affine Toda models and their Hirota solution”, Physics Letters B, 298:1-2 (1993), 88
F C Alcaraz, M J Martins, “Conformal invariance and the operator content of the XXZ model with arbitrary spin”, J. Phys. A: Math. Gen., 22:11 (1989), 1829
F C Alcaraz, M J Martins, “Analysis of the Bethe-ansatz equations for the anisotropic SU(2) chain”, J. Phys. A: Math. Gen., 22:3 (1989), L99
O. Babelon, “Extended conformal algebra and the Yang-Baxter equation”, Physics Letters B, 215:3 (1988), 523
Citation in format AMSBIB
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