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This article is cited in 12 scientific papers (total in 12 papers)
Deformations of triple Jordan systems and integrable equations
S. I. Svinolupov, V. V. Sokolov
Institute of Mathematics with Computing Centre, Ufa Science Centre, Russian Academy of Sciences
Abstract:
Deformations of arbitrary triple Jordan systems are considered. They are defined in terms of the deformation vector satisfying a compatible overdetermined system of differential equations. For the simple triple Jordan systems the deformation vector is explicitly found. It
gives rise to new classes of integrable partial differential equations with arbitrary number of unknown functions.
DOI:
https://doi.org/10.4213/tmf1196
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Theoretical and Mathematical Physics, 1996, 108:3, 1160–1163
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Received: 08.02.1996
Citation:
S. I. Svinolupov, V. V. Sokolov, “Deformations of triple Jordan systems and integrable equations”, TMF, 108:3 (1996), 388–392; Theoret. and Math. Phys., 108:3 (1996), 1160–1163
Citation in format AMSBIB
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\jour Theoret. and Math. Phys.
\yr 1996
\vol 108
\issue 3
\pages 1160--1163
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http://mi.mathnet.ru/eng/tmf1196https://doi.org/10.4213/tmf1196 http://mi.mathnet.ru/eng/tmf/v108/i3/p388
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Bruschi, M, “Solvable and/or integrable and/or linearizable N-body problems in ordinary (three-dimensional) space. I”, Journal of Nonlinear Mathematical Physics, 7:3 (2000), 303
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A. G. Meshkov, “On symmetry classification of third order evolutionary systems of divergent type”, J. Math. Sci., 151:4 (2008), 3167–3181
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Adler, VE, “Classification of integrable Volterra-type lattices on the sphere: isotropic case”, Journal of Physics A-Mathematical and Theoretical, 41:14 (2008), 145201
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