The relation between the Toda hierarchy and the KdV hierarchy

Details The relation between the Toda hierarchy and the KdV hierarchy The relation between the Toda hierarchy and the KdV hierarchy

1998-12-28

arxiv.org/abs/solv-int/9812029v1

Nonlinear Sciences

Exactly Solvable and Integrable Systems

11 pages, Tex, no figures, to be published in Physics Letters A

Scientific paper

10.1016/S0375-9601(98)00886-X

Under three relations connecting the field variables of Toda flows and that
of KdV flows, we present three new sequences of combination of the equations in
the Toda hierarchy which have the KdV hierarchy as a continuous limit. The
relation between the Poisson structures of the KdV hierarchy and the Toda
hierarchy in continuous limit is also studied.

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