Dispersionless Hierarchies, Hamilton-Jacobi Theory and Twistor Correspondences

Details Dispersionless Hierarchies, Hamilton-Jacobi Theory and Twistor Correspondences Dispersionless Hierarchies, Hamilton-Jacobi Theory and Twistor Correspondences

1997-05-22

arxiv.org/abs/solv-int/9705013v1

J. Geom. Phys. 25 (3-4) (1998), 326-340

Physics

High Energy Physics

High Energy Physics - Theory

20 pages, latex, no figures

Scientific paper

10.1016/S0393-0440(97)00034-X

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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