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Dispersionless Hierarchies, Hamilton-Jacobi Theory and Twistor Correspondences

Partha Guha·Kanehisa Takasaki
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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. AMS Subject Classifiation (1991): 35Q20, 58F07,70H99

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Partha Guha, Kanehisa Takasaki. 1997-05-22. Dispersionless Hierarchies, Hamilton-Jacobi Theory and Twistor Correspondences. https://doi.org/10.1016/s0393-0440(97)00034-x

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