Functional representation of the Volterra hierarchy
arXiv:nlin/0410003 · doi:10.2991/jnmp.2005.12.3.6
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.
17 pages, submitted to Journal of Nonlinear Mathematical Physics
References in corpus (1)
Cited by in corpus (7)
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- Soliton Fay identities. I. Dark soliton case
- Reductions of integrable lattices
- KdV-Volterra chain