Journal of Nonlinear Mathematical Physics

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Volume 12, Issue 3, August 2005, Pages 409 - 431

Functional Representation of the Volterra Hierarchy

Authors
V.E Vekslerchik
Corresponding Author
V.E Vekslerchik
Received 7 July 2004, Accepted 6 October 2004, Available Online 1 August 2005.
DOI
10.2991/jnmp.2005.12.3.6How to use a DOI?
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.

Copyright
© 2006, the Authors. Published by Atlantis Press.
Open Access
This is an open access article distributed under the CC BY-NC license (http://creativecommons.org/licenses/by-nc/4.0/).

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<Previous Article In Issue
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Journal
Journal of Nonlinear Mathematical Physics
Volume-Issue
12 - 3
Pages
409 - 431
Publication Date
2005/08/01
ISSN (Online)
1776-0852
ISSN (Print)
1402-9251
DOI
10.2991/jnmp.2005.12.3.6How to use a DOI?
Copyright
© 2006, the Authors. Published by Atlantis Press.
Open Access
This is an open access article distributed under the CC BY-NC license (http://creativecommons.org/licenses/by-nc/4.0/).

Cite this article

risenwbib
TY  - JOUR
AU  - V.E Vekslerchik
PY  - 2005
DA  - 2005/08/01
TI  - Functional Representation of the Volterra Hierarchy
JO  - Journal of Nonlinear Mathematical Physics
SP  - 409
EP  - 431
VL  - 12
IS  - 3
SN  - 1776-0852
UR  - https://doi.org/10.2991/jnmp.2005.12.3.6
DO  - 10.2991/jnmp.2005.12.3.6
ID  - Vekslerchik2005
ER  -