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
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DOI：
10.2991/jnmp.2003.10.s1.8
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发表时间：
2002-12
影响因子：
0.7
通讯作者：
F. Nijhoff;S. Puttock
中科院分区：
文献类型：
--
作者：
F. Nijhoff;S. Puttock
本文发展了一种一般结构，由此导出了推广格子KdV方程的可积偏差分方程组。该构造基于一个以(形式的)椭圆柯西核为关键成分的无限矩阵方案。讨论了格子系统的一致性和可积性，给出了特解和相应的连续方程。
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.