BACKLUND-TRANSFORMATIONS OF MKDV AND PAINLEVE EQUATIONS

被引：9
|
作者：
SCHIFF, J
机构：
[1] Institute For Advanced Study, Princeton, NJ, 08540, Olden Lane
[2] Department of Mathematics and Computer Science, Bar Ilan University, Ramat Gan
来源：
NONLINEARITY | 1994年 / 7卷 / 01期
关键词：
D O I：
10.1088/0951-7715/7/1/015
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
For N greater-than-or-equal-to 3 there are SN and DN actions on the space of solutions of the first nontrivial equation in the SL(N) MKdV hierarchy, generalizing the two Z2 actions on the space of solutions of the standard MKdV equation. These actions survive scaling reduction, and give rise to transformation groups for certain (systems of) ODEs, including the second, fourth and fifth Painleve equations.
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页码：305 / 312
页数：8
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