Properties of an Alternate Lax Description of the KdV Hierarchy

Research paper by J. C. Brunelli, Ashok Das

Indexed on: 20 Jan '95Published on: 20 Jan '95Published in: High Energy Physics - Theory


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.