dorsal/arxiv
View SchemaDispersionless Hierarchies, Hamilton-Jacobi Theory and Twistor Correspondences
| Authors | Partha Guha, Kanehisa Takasaki |
|---|---|
| Categories | |
| ArXiv ID | solv-int/9705013 |
| URL | https://arxiv.org/abs/solv-int/9705013 |
| DOI | 10.1016/S0393-0440(97)00034-X |
| Journal | J. Geom. Phys. 25 (3-4) (1998), 326-340 |
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. AMS Subject Classifiation (1991): 35Q20, 58F07,70H99
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"abstract": "The dispersionless KP and Toda hierarchies possess an underlying twistorial\nstructure. A twistorial approach is partly implemented by the method of\nRiemann-Hilbert problem. This is however still short of clarifying geometric\ningredients of twistor theory, such as twistor lines and twistor surfaces. A\nmore geometric approach can be developed in a Hamilton-Jacobi formalism of\nGibbons and Kodama. AMS Subject Classifiation (1991): 35Q20, 58F07,70H99",
"arxiv_id": "solv-int/9705013",
"authors": [
"Partha Guha",
"Kanehisa Takasaki"
],
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"solv-int",
"hep-th",
"nlin.SI"
],
"doi": "10.1016/S0393-0440(97)00034-X",
"journal_ref": "J. Geom. Phys. 25 (3-4) (1998), 326-340",
"title": "Dispersionless Hierarchies, Hamilton-Jacobi Theory and Twistor Correspondences",
"url": "https://arxiv.org/abs/solv-int/9705013"
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