Integrable systems of many interacting rigid bodies

Z. Jiang; S. Wojciechowski

doi:10.1007/BF02828920

Integrable systems of many interacting rigid bodies

Z. Jiang, S. Wojciechowski

Research output: Contribution to journal › Article › peer-review

2 Citations (Scopus)

Abstract

A class of integrable Euler equations of many interacting rigid bodies is constructed. Their integrability is proved by transforming then-Lax equation into the Duborvin equation which has a solution in terms of the Riemann θ-function. Some reductions of these equations are discussed.

Original language	English
Pages (from-to)	415-427
Number of pages	13
Journal	Il Nuovo Cimento B
Volume	101
Issue number	4
DOIs	https://doi.org/10.1007/BF02828920
Publication status	Published - Apr 1988
Externally published	Yes

Keywords

02.30.Hq
03.20
Classical mechanics of discrete systems: general mathematical aspects
Ordinary differential equations

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10.1007/BF02828920

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title = "Integrable systems of many interacting rigid bodies",

abstract = "A class of integrable Euler equations of many interacting rigid bodies is constructed. Their integrability is proved by transforming then-Lax equation into the Duborvin equation which has a solution in terms of the Riemann θ-function. Some reductions of these equations are discussed.",

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author = "Z. Jiang and S. Wojciechowski",

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AU - Jiang, Z.

AU - Wojciechowski, S.

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N2 - A class of integrable Euler equations of many interacting rigid bodies is constructed. Their integrability is proved by transforming then-Lax equation into the Duborvin equation which has a solution in terms of the Riemann θ-function. Some reductions of these equations are discussed.

AB - A class of integrable Euler equations of many interacting rigid bodies is constructed. Their integrability is proved by transforming then-Lax equation into the Duborvin equation which has a solution in terms of the Riemann θ-function. Some reductions of these equations are discussed.

KW - 02.30.Hq

KW - 03.20

KW - Classical mechanics of discrete systems: general mathematical aspects

KW - Ordinary differential equations

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U2 - 10.1007/BF02828920

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SP - 415

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JO - Il Nuovo Cimento B

JF - Il Nuovo Cimento B

IS - 4

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Integrable systems of many interacting rigid bodies

Abstract

Keywords

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