A UNIFIED ALGEBRAIC APPROACH TO INTEGRAL AND DISCRETE EVOLUTION-EQUATIONS

被引：28
|
作者：
RAGNISCO, O [1 ]
SANTINI, PM [1 ]
机构：
[1] NATL INST NUCL PHYS,ROME,ITALY
来源：
INVERSE PROBLEMS | 1990年 / 6卷 / 03期
关键词：
D O I：
10.1088/0266-5611/6/3/012
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
The authors investigate the integrability properties of discrete systems and singular integral evolution equations, showing that they correspond to different reductions and different concrete realisations of the same abstract algebraic structures. In particular, they derive the bi-Hamiltonian formulation of prototype examples like the discrete sine-Gordon equation and the sine-Hilbert equation.
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页码：441 / 452
页数：12
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