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Dispersionless hierarchies, Hamilton-Jacobi theory and twistor correspondences
- Source :
- Journal of Geometry and Physics. 25:326-340
- Publication Year :
- 1998
- Publisher :
- Elsevier BV, 1998.
-
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<br />Comment: 20 pages, latex, no figures
- Subjects :
- High Energy Physics - Theory
Twistor theory
Formalism (philosophy of mathematics)
Nonlinear Sciences - Exactly Solvable and Integrable Systems
High Energy Physics - Theory (hep-th)
FOS: Physical sciences
General Physics and Astronomy
Geometry and Topology
Exactly Solvable and Integrable Systems (nlin.SI)
Hamilton–Jacobi equation
Mathematical Physics
Mathematics
Mathematical physics
Subjects
Details
- ISSN :
- 03930440
- Volume :
- 25
- Database :
- OpenAIRE
- Journal :
- Journal of Geometry and Physics
- Accession number :
- edsair.doi.dedup.....37a907e5fcbb3a111ef6b2f7aa206756