Properties of an Alternate Lax Description of the KdV Hierarchy

Details Properties of an Alternate Lax Description of the KdV Hierarchy Properties of an Alternate Lax Description of the KdV Hierarchy

1995-01-20

arxiv.org/abs/hep-th/9501095v1

Mod.Phys.Lett. A10 (1995) 931-940

Physics

High Energy Physics

High Energy Physics - Theory

11 pages, plain TeX

Scientific paper

10.1142/S0217732395001022

We study systematically the Lax description of the KdV hierarchy in terms of an operator which is the geometrical recursion operator. We formulate the Lax equation for the $n$-th flow, construct the Hamiltonians which lead to commuting flows. In this formulation, the recursion relation between the conserved quantities follows naturally. We give a simple and compact definition of all the Hamiltonian structures of the theory which are related through a power law.

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