Journal of Nonlinear Mathematical Physics

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Volume 10, Issue Supplement 1, August 2003, Pages 107 - 123

On a Two-Parameter Extension of the Lattice KdV System Associated with an Elliptic Curve

Authors
Frank W. Nijhoff, Sian E. Puttock
Corresponding Author
Frank W. Nijhoff
Available Online 1 August 2003.
DOI
10.2991/jnmp.2003.10.s1.8How to use a DOI?
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.

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
Journal
Journal of Nonlinear Mathematical Physics
Volume-Issue
10 - Supplement 1
Pages
107 - 123
Publication Date
2003/08/01
ISBN
91-631-4340-2
ISSN (Online)
1776-0852
ISSN (Print)
1402-9251
DOI
10.2991/jnmp.2003.10.s1.8How 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  - Frank W. Nijhoff
AU  - Sian E. Puttock
PY  - 2003
DA  - 2003/08/01
TI  - On a Two-Parameter Extension of the Lattice KdV System Associated with an Elliptic Curve
JO  - Journal of Nonlinear Mathematical Physics
SP  - 107
EP  - 123
VL  - 10
IS  - Supplement 1
SN  - 1776-0852
UR  - https://doi.org/10.2991/jnmp.2003.10.s1.8
DO  - 10.2991/jnmp.2003.10.s1.8
ID  - Nijhoff2003
ER  -