Journal of Nonlinear Mathematical Physics

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 9 December 2006.
DOI
https://doi.org/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.
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Journal
Journal of Nonlinear Mathematical Physics
Volume-Issue
10 - 100
Pages
107 - 123
Publication Date
2006/12
ISBN
91-631-4340-2
ISSN
1402-9251
DOI
https://doi.org/10.2991/jnmp.2003.10.s1.8How to use a DOI?
Open Access
This is an open access article distributed under the CC BY-NC license.

Cite this article

TY  - JOUR
AU  - Frank W NIJHOFF
AU  - Sian E PUTTOCK
PY  - 2006
DA  - 2006/12
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  - 1402-9251
UR  - https://doi.org/10.2991/jnmp.2003.10.s1.8
DO  - https://doi.org/10.2991/jnmp.2003.10.s1.8
ID  - NIJHOFF2006
ER  -