On a two-parameter extension of the lattice KdV system associated with an elliptic curve

Details On a two-parameter extension of the lattice KdV system associated with an elliptic curve On a two-parameter extension of the lattice KdV system associated with an elliptic curve

2002-12-19

arxiv.org/abs/nlin/0212041v1

Nonlinear Sciences

Exactly Solvable and Integrable Systems

Submitted to the proceedings of the Oeresund PDE-symposium, 23-25 May 2002; 17 pages LaTeX, style-file included

Scientific paper

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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