Egorov hydrodynamic chains, the Chazy equation, and SL(2, C)

被引：7

作者：

Buchstaber, VM ^{[1
]}

Leykin, DV

Pavlov, MV

机构：

[1] Russian Acad Sci, VA Steklov Math Inst, Moscow 117901, Russia

[2] Natl Acad Sci Ukraine, Inst Magnetism, Kiev, Ukraine

[3] Univ Loughborough, Loughborough, Leics, England

来源：

FUNCTIONAL ANALYSIS AND ITS APPLICATIONS | 2003年 / 37卷 / 04期

基金：

俄罗斯基础研究基金会;

关键词：

hydrodynamic chain; Egorov type system; Chazy equation; elliptic function; SL(2);

D O I：

10.1023/B:FAIA.0000015576.05085.bc

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The general solution of the system of differential equations describing Egorov hydrodynamic chains is constructed. The solution is given in terms of the elliptic sigma function. Invariants of the sigma function are expressed as differential polynomials in a solution of the Chazy equation. The orbits of the induced action of SL(2, C) and degenerating operators in the space of solutions are described.

引用

页码：251 / 262

页数：12

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