title: |
Discrete KP Equation and Momentum Mapping of Toda System |
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publication: |
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| volume-issue: | 10 - Supplement 2 | |
| pages: | 209 - 222 | |
ISSN: |
1402-9251 | |
DOI: |
doi:10.2991/jnmp.2003.10.s2.18 (how to use a DOI) | |
author(s): |
Vincenzo SCIACCA |
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publication date: |
December 2003 |
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abstract: |
A new approach to discrete KP equation is considered, starting from the GelfanZakhharevich theory for the research of Casimir function for Toda Poisson pencil. The
link between the usual approach through the use of discrete Lax operators, is emphsized. We show that these two different formulations of the discrete KP equation are
equivalent and they are different representations of the same equations. The relation
between the two approaches to the KP equation is obtained by a change of frame in
the space Ln of upper truncated Laurent series and translated into the space Dn of
shift operators. |
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copyright: |
©
Atlantis Press. This is an open-access article distributed under the
terms of the Creative Commons Attribution License, which permits
non-commercial use, distribution and reproduction in any medium,
provided the original work is properly cited. |
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full text: |