Functional Representation of the Volterra Hierarchy

V.E Vekslerchik

doi:10.2991/jnmp.2005.12.3.6

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Functional Representation of the Volterra Hierarchy

V.E Vekslerchik

Journal of Nonlinear Mathematical Physics2005doi:10.2991/jnmp.2005.12.3.6

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Abstract

In this paper I study the functional representation of the Volterra hierarchy (VH).Using the Miwa's shifts I rewrite the infinite set of Volterra equations as one functional equation.This result is used to derive a formal solution of the associated linear problem, a generating function for the conservation laws and to obtain a new form of the Miura and Backlund transformations.I also discuss some relations between the VH and KP hierarchy.

Authors

V.E Vekslerchik#1

Institutions

University of Castilla-La Mancha O.Ya. Usikov Institute for Radiophysics and Electronics

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External reference records

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Functional Representation of the Volterra Hierarchy

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