Non-commutative q-Painleve VI equation

被引：2
|
作者：
Doliwa, Adam [1 ]
机构：
[1] Univ Warmia & Mazury, Fac Math & Comp Sci, PL-10710 Olsztyn, Poland
来源：
JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL | 2014年 / 47卷 / 03期
关键词：
discrete Painleve equations; non-commutative integrable systems; DIRECT LINEARIZATION; DESARGUES MAPS; Q-ANALOG; DISCRETE; SYSTEMS; REDUCTIONS; TRANSFORMS;
D O I：
10.1088/1751-8113/47/3/035203
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
By applying suitable centrality conditions to non-commutative non-isospectral lattice modified Gel'fand-Dikii type systems we obtain the corresponding non-autonomous equations. Then we derive the non-commutative q-discrete Painleve VI equation with full range of parameters as the (2, 2) similarity reduction of the non-commutative, non-isospectral and non-autonomous lattice modified Korteweg-de Vries equation. We also comment on the fact that in making the analogous reduction starting from the Schwarzian Korteweg-de Vries equation no such 'non-isospectral generalization' is needed.
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页数：8
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