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

Frank W. Nijhoff; Sian Puttock

doi:10.2991/jnmp.2003.10.s1.8

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arXiv · nlin/0212041

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

Frank W. Nijhoff·Sian Puttock

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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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BibTeX RIS

Frank W. Nijhoff, Sian Puttock. 2002-12-19. On a two-parameter extension of the lattice KdV system associated with an elliptic curve. https://doi.org/10.2991/jnmp.2003.10.s1.8

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