Cohomological study on variants of the Mumford system, and integrability of the Noumi-Yamada system

Rei Inoue; Takao Yamazaki

doi:10.1007/s00220-006-0028-y

Cohomological study on variants of the Mumford system, and integrability of the Noumi-Yamada system

Rei Inoue, Takao Yamazaki

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

3 Citations (Scopus)

Abstract

The purpose of this paper is twofold. The first is to apply the method introduced in the works of Nakayashiki and Smirnov [11, 12] on the Mumford system to its variants. The other is to establish a relation between the Mumford system and the isospectral limit Q_g^(I) and Q _g^(II) of the Noumi-Yamada system [15]. As a consequence, we prove the algebraically completely integrability of the systems Q _g^(I) and Q_g^(II) , and get explicit descriptions of their solutions.

Original language	English
Pages (from-to)	699-719
Number of pages	21
Journal	Communications in Mathematical Physics
Volume	265
Issue number	3
DOIs	https://doi.org/10.1007/s00220-006-0028-y
Publication status	Published - 2006 Aug
Externally published	Yes

ASJC Scopus subject areas

Statistical and Nonlinear Physics
Mathematical Physics

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10.1007/s00220-006-0028-y

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abstract = "The purpose of this paper is twofold. The first is to apply the method introduced in the works of Nakayashiki and Smirnov [11, 12] on the Mumford system to its variants. The other is to establish a relation between the Mumford system and the isospectral limit Qg(I) and Q g(II) of the Noumi-Yamada system [15]. As a consequence, we prove the algebraically completely integrability of the systems Q g(I) and Qg(II) , and get explicit descriptions of their solutions.",

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AB - The purpose of this paper is twofold. The first is to apply the method introduced in the works of Nakayashiki and Smirnov [11, 12] on the Mumford system to its variants. The other is to establish a relation between the Mumford system and the isospectral limit Qg(I) and Q g(II) of the Noumi-Yamada system [15]. As a consequence, we prove the algebraically completely integrability of the systems Q g(I) and Qg(II) , and get explicit descriptions of their solutions.

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Cohomological study on variants of the Mumford system, and integrability of the Noumi-Yamada system

Abstract

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