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.
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页码：133 / 158
页数：26
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