Isomonodromic problem for K22 analogue of the Painleve equations

被引:0
作者
Gaiur, I. Yu [1 ]
Kudryashov, N. A. [1 ]
机构
[1] Natl Res Nucl Univ MEPhI, Kashirskoe Sh 31, Moscow 115409, Russia
来源
V INTERNATIONAL CONFERENCE ON PROBLEMS OF MATHEMATICAL AND THEORETICAL PHYSICS AND MATHEMATICAL MODELLING | 2017年 / 788卷
基金
俄罗斯科学基金会;
关键词
DIFFERENTIAL-EQUATIONS; HIGHER-ORDER; LIQUID; WAVES;
D O I
10.1088/1742-6596/788/1/012012
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
A fourth-order analogue for the Painleve equations that is self-similar reduction of the modified Sawada-Kotera and Kaup-Kupershmidt equation is considered. Zero curvature representation of Lax pair for the modified Sawada-Kotera equation is presented. Linear problem for a fourth-order analogue for the Painleve equations is obtained from Lax pair for the modified Sawada-Kotera equation using self-similar variables.
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页数:5
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