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arXiv · hep-th/9501095

Properties of an Alternate Lax Description of the KdV Hierarchy

J. C. Brunelli·Ashok Das
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Abstract

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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J. C. Brunelli, Ashok Das. 1995-01-20. Properties of an Alternate Lax Description of the KdV Hierarchy. https://doi.org/10.1142/s0217732395001022

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