Egorov Hydrodynamic Chains, the Chazy Equation, and SL(2,ℂ)

被引：0
|
作者：
V. M. Buchstaber
D. V. Leykin
M. V. Pavlov
机构：
[1] Russian Academy of Sciences,V. A. Steklov Mathematical institute
[2] National Academy of Sciences of Ukraine,Institute of Magnetism
[3] Loughborough University,undefined
来源：
Functional Analysis and Its Applications | 2003年 / 37卷
关键词：
hydrodynamic chain; Egorov type system; Chazy equation; elliptic function; (2,ℂ);
D O I：
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学科分类号：
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.
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页码：251 / 262
页数：11
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