Generalization of the Toda chain system to the elliptic curve case

被引：1
作者：
Belov, NA
Leznov, AN
Zakrzewski, WJ
机构：
[1] INST HIGH ENERGY PHYS,PROTVINO,RUSSIA
[2] UNIV DURHAM,DEPT MATH SCI,DURHAM DH1 3LE,ENGLAND
来源：
LETTERS IN MATHEMATICAL PHYSICS | 1996年 / 36卷 / 01期
关键词：
Toda chains; Landau-Lifshitz equation; integrable systems; elliptic curves;
D O I：
10.1007/BF00403248
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
We propose a system of two equations which, when some of its parameters vanish, separates into two equations describing independent one-dimensional Toda chains. The system has its foundation in the discrete transformations of the Landau-Lifshitz equation which is closely connected with elliptic curves. Nontrivial solutions of the system are found in an explicit form.
引用
收藏
页码：27 / 34
页数：8
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