title: |
On a Two-Parameter Extension of the Lattice KdV System Associated with an Elliptic Curve |
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publication: |
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| volume-issue: | 10 - Supplement 1 | |
| pages: | 107 - 123 | |
ISSN: |
1402-9251 | |
DOI: |
doi:10.2991/jnmp.2003.10.s1.8 (how to use a DOI) | |
author(s): |
Frank W NIJHOFF, Sian E PUTTOCK |
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publication date: |
August 2003 |
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abstract: |
A general structure is developed from which a system of integrable partial difference
equations is derived generalising the lattice KdV equation. The construction is based
on an infinite matrix scheme with as key ingredient a (formal) elliptic Cauchy kernel.
The consistency and integrability of the lattice system is discussed as well as special
solutions and associated continuum equations. |
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copyright: |
©
Atlantis Press. This article is 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: |