KdV theory is constructed systematically through the continuous limit of the Kac-Moerbeke system. The infinitely many commuting vector fields, the conserved functionals, the Lax pairs and the biHamiltonian structure are recovered as the limits of suitably defined linear combinations of homologous objects for the Kac-Moerbeke system. The combinatorial aspects of this recombination method are treated in detail.
On the continuous limit of integrable lattices .1. The Kac-Moerbeke system and KdV theory / C. Morosi, L. Pizzocchero. - In: COMMUNICATIONS IN MATHEMATICAL PHYSICS. - ISSN 0010-3616. - 180:2(1996), pp. 505-528.
On the continuous limit of integrable lattices .1. The Kac-Moerbeke system and KdV theory
L. PizzoccheroUltimo
1996
Abstract
KdV theory is constructed systematically through the continuous limit of the Kac-Moerbeke system. The infinitely many commuting vector fields, the conserved functionals, the Lax pairs and the biHamiltonian structure are recovered as the limits of suitably defined linear combinations of homologous objects for the Kac-Moerbeke system. The combinatorial aspects of this recombination method are treated in detail.
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