Abstract
In this section we compute the variational derivatives of conservation laws (Theorem 6.13 and formula (6.16)), find a Hamiltonian structure of Lax equations (5.10) and associated to it Lie superalgebras (Theorems 6.21 and 6.26), describe elements in the Kernel of this Hamiltonian structure (Theorem 6.32), and examine the problem of nontriviality of c.l.’s (Theorem 6.34).
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© 1987 D. Reidel Publishing Company, Dordrecht, Holland
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Kupershmidt, B.A. (1987). Variational Derivatives of Conservation Laws and the SuperHamiltonian Structure of Classical Superintegrable Systems. In: Elements of Superintegrable Systems. Mathematics and Its Applications, vol 34. Springer, Dordrecht. https://doi.org/10.1007/978-94-009-3799-4_6
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DOI: https://doi.org/10.1007/978-94-009-3799-4_6
Publisher Name: Springer, Dordrecht
Print ISBN: 978-94-010-8190-0
Online ISBN: 978-94-009-3799-4
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