THE DISCRETE KORTEWEG-DE VRIES EQUATION

被引：204
|
作者：
NIJHOFF, F
CAPEL, H
机构：
[1] UNIV AMSTERDAM, INST THEORET PHYS, 1018 XE AMSTERDAM, NETHERLANDS
[2] UNIV LEEDS, DEPT APPL MATH SCI, LEEDS LS2 9JT, W YORKSHIRE, ENGLAND
来源：
ACTA APPLICANDAE MATHEMATICAE | 1995年 / 39卷 / 1-3期
关键词：
LATTICE EQUATIONS; LINEARIZATION; DISCRETIZATION; MIURA TRANSFORMATIONS; SIMILARITY REDUCTIONS;
D O I：
10.1007/BF00994631
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We review the different aspects of integrable discretizations in space and time of the Korteweg-de Vries equation, including Miura transformations to related integrable difference equations, connections to integrable mappings, similarity reductions and discrete versions of Painleve equations as well as connections to Volterra systems.
引用
收藏
页码：133 / 158
页数：26
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