Dispersionless hierarchies, Hamilton-Jacobi theory and twistor correspondences

✍ Scribed by Partha Guha; Kanehisa Takasaki

• Publisher: Elsevier Science
• Year: 1998
• Tongue: English
• Weight: 882 KB
• Volume: 25
• Category: Article
• ISSN: 0393-0440
• DOI: 10.1016/s0393-0440(97)00034-x

✦ Synopsis

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.