Dispersionless Hierarchies, Hamilton-Jacobi Theory and Twistor Correspondences
solv-int
2009-10-30 v1 High Energy Physics - Theory
Exactly Solvable and Integrable Systems
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
Keywords
Cite
@article{arxiv.solv-int/9705013,
title = {Dispersionless Hierarchies, Hamilton-Jacobi Theory and Twistor Correspondences},
author = {Partha Guha and Kanehisa Takasaki},
journal= {arXiv preprint arXiv:solv-int/9705013},
year = {2009}
}
Comments
20 pages, latex, no figures