On the continuous limit of integrable lattices III. Kupershmidt systems and sl(N+1) KdV theories
Articolo
Data di Pubblicazione:
1998
Citazione:
On the continuous limit of integrable lattices III. Kupershmidt systems and sl(N+1) KdV theories / C. Morosi, L. Pizzocchero. - In: JOURNAL OF PHYSICS. A, MATHEMATICAL AND GENERAL. - ISSN 0305-4470. - 31:11(1998), pp. 2727-2746.
Abstract:
We discuss the connection between the zero-spacing limit of the N- fields Kupershmidt lattice and the KdV-type theory corresponding to the Lie algebra sl(N + 1). The case N = 2 is worked out in detail, recovering from the Limit process the Boussinesq theory with its infinitely many commuting vector fields, their Lax pairs and Hamiltonian formulations. The 'recombination method' proposed here to derive the Boussinesq hierarchy from the limit of the N = 2 Kupershmidt system works, in principle, for arbitrary N.
Tipologia IRIS:
01 - Articolo su periodico
Keywords:
Integrable Hamiltonian systems on lattices ; continuous limit ; soliton equations
Elenco autori:
C. Morosi, L. Pizzocchero
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