Open AccessOn a Two-Parameter Extension of the Lattice KdV System Associated with an Elliptic Curve
Author(s) -
Frank Nijhoff,
Sian E. Puttock
Publication year - 2003
Publication title -
journal of nonlinear mathematical physics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.544
H-Index - 40
eISSN - 1776-0852
pISSN - 1402-9251
DOI - 10.2991/jnmp.2003.10.s1.8
Subject(s) - korteweg–de vries equation , mathematics , integrable system , lattice (music) , elliptic curve , pure mathematics , mathematical analysis , nonlinear system , physics , quantum mechanics , acoustics
A general structure is developed from which a system of integrable partialdifference equations is derived generalising the lattice KdV equation. Theconstruction is based on an infinite matrix scheme with as key ingredient a(formal) elliptic Cauchy kernel. The consistency and integrability of thelattice system is discussed as well as special solutions and associatedcontinuum equations.Comment: Submitted to the proceedings of the Oeresund PDE-symposium, 23-25 May 2002; 17 pages LaTeX, style-file include
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