Darboux transformations for linear operators on two-dimensional regular lattices

被引：7
|
作者：
Doliwa, Adam [1 ]
Nieszporski, Maciej [2 ]
机构：
[1] Uniwersytet Warminsko Mazurski Olsztynie, Wydzial Matemat & Informat, PL-10561 Olsztyn, Poland
[2] Univ Warsaw, Katedra Metod Matemat Fizyki, PL-00682 Warsaw, Poland
来源：
JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL | 2009年 / 42卷 / 45期
关键词：
INTEGRABLE DISCRETIZATION; GEOMETRIC DISCRETIZATION; BACKLUND-TRANSFORMATIONS; QUADRILATERAL LATTICES; DIFFERENCE-OPERATORS; DIRECT LINEARIZATION; DISCRETE; KP; EQUATIONS; REDUCTIONS;
D O I：
10.1088/1751-8113/42/45/454001
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
Darboux transformations for linear operators on regular two-dimensional lattices are reviewed. The six-point scheme is considered as the master linear problem, whose various specifications, reductions and sublattice combinations lead to other linear operators together with the corresponding Darboux transformations. The second part of the review deals with multidimensional aspects of (basic reductions of) the four-point scheme, as well as the three-point scheme.
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页数：27
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