Abstract
Some vector-matrix generalizations, both known and new, for well-known integrable equations are presented. All of them possess higher symmetries and conservation laws.
Similar content being viewed by others
References
C. Athorne and A. P. Fordy,J. Phys., A19 (1986).
S. I. Svinolupov,Teor. Mat. Fiz.,87, 391 (1991).
É. B. Vinberg,Tr. MMO, No. 12, 340 (1963).
S. I. Svinolupov,Phys. Lett.,135A, 32 (1989).
V. V. Sokolov,Usp. Mat. Nauk,43, 133 (1988).
M. A. Semenov-Tyan-Shanskii and L. D. Faddeev,Vestn. Leningr. Univ.,3, 81 (1977).
A. P. Fordy and P. P. Kulish,Commun. Math. Phys.,89, 427 (1983).
A. P. Fordy,J. Phys., A17, 1235 (1984).
S. I. Svinolupov,Commun. Math. Phys.,143, 559 (1992).
S. I. Svinolupov,Funktsional. Analiz i Ego Prilozhen.,27, 27 (1993).
M. Koecher,Univ. of Minnesota Lecture Notes (1969).
O. Loos,Symmetric Spaces, New York (1969).
O. Loos,Lecture Notes in Mathematics, Vol. 460, Springer-Verlag, Berlin (1975, p. 218.
Additional information
Ufa Institute of Mathematics, Russian Academy of Sciences. Translated from Teoreticheskaya i Matematicheskaya Fizika, Vol. 100, No. 2, pp. 214–218, August, 1994.
Rights and permissions
About this article
Cite this article
Svinolupov, S.I., Sokolov, V.V. Vector-matrix generalizations of classical integrable equations. Theor Math Phys 100, 959–962 (1994). https://doi.org/10.1007/BF01016758
Received:
Issue Date:
DOI: https://doi.org/10.1007/BF01016758