Dispersionless hierarchies, Hamilton-Jacobi theory and twistor correspondences

Partha Guha; Kanehisa Takasaki

doi:10.1016/S0393-0440(97)00034-X

Dispersionless hierarchies, Hamilton-Jacobi theory and twistor correspondences

Partha Guha, Kanehisa Takasaki

Mathematics

Kyoto University

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

5 Scopus citations

Abstract

The dispersionless KP and Toda hierarchies possess an underlying twistorial structure. A twistorial approach is partly implemented by the method of Riemann-Hilbert problem. This is however still short of clarifying geometric ingredients of twistor theory such as twistor lines and twistor surfaces. A more geometric approach can be developed in a Hamilton-Jacobi formalism of Gibbons and Kodama.

Original language	British English
Pages (from-to)	326-340
Number of pages	15
Journal	Journal of Geometry and Physics
Volume	25
Issue number	3-4
DOIs	https://doi.org/10.1016/S0393-0440(97)00034-X
State	Published - May 1998

Keywords

Hamilton-Jacobi thoery
Hierarchies
Twistors correspondences

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10.1016/S0393-0440(97)00034-X

Cite this

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abstract = "The dispersionless KP and Toda hierarchies possess an underlying twistorial structure. A twistorial approach is partly implemented by the method of Riemann-Hilbert problem. This is however still short of clarifying geometric ingredients of twistor theory such as twistor lines and twistor surfaces. A more geometric approach can be developed in a Hamilton-Jacobi formalism of Gibbons and Kodama.",

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AU - Takasaki, Kanehisa

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AB - The dispersionless KP and Toda hierarchies possess an underlying twistorial structure. A twistorial approach is partly implemented by the method of Riemann-Hilbert problem. This is however still short of clarifying geometric ingredients of twistor theory such as twistor lines and twistor surfaces. A more geometric approach can be developed in a Hamilton-Jacobi formalism of Gibbons and Kodama.

KW - Hamilton-Jacobi thoery

KW - Hierarchies

KW - Twistors correspondences

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DO - 10.1016/S0393-0440(97)00034-X

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EP - 340

JO - Journal of Geometry and Physics

JF - Journal of Geometry and Physics

IS - 3-4

ER -

Dispersionless hierarchies, Hamilton-Jacobi theory and twistor correspondences

Abstract

Keywords

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