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Teoreticheskaya i Matematicheskaya Fizika, 1987, Volume 70, Number 1, Pages 18–29
(Mi tmf4488)
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This article is cited in 22 scientific papers (total in 22 papers)
Hidden symmetry of the Landau–Lifshitz equation, hierarchy of higher equations, and the dual equation for an asymmetric chiral field
P. I. Holod
Abstract:
A group-theoretical scheme is developed for constructing higher stationary Landau–Lifshitz equations as the Euler equations on the orbits of hidden symmetry algebra
(the algebra of $su(2)$-valued functions on an elliptic curve). Duality between
the Landau–Lifshitz equation and asymmetric $O(3)$-chiral field equation is established.
Received: 06.08.1985
Citation:
P. I. Holod, “Hidden symmetry of the Landau–Lifshitz equation, hierarchy of higher equations, and the dual equation for an asymmetric chiral field”, TMF, 70:1 (1987), 18–29; Theoret. and Math. Phys., 70:1 (1987), 11–19
Linking options:
https://www.mathnet.ru/eng/tmf4488 https://www.mathnet.ru/eng/tmf/v70/i1/p18
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