Dispersionless hierarchies, Hamilton-Jacobi theory and twistor correspondences

Partha Guha, Kanehisa Takasaki

Research output: Contribution to journalArticlepeer-review

5 Scopus citations


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.

Original languageBritish English
Pages (from-to)326-340
Number of pages15
JournalJournal of Geometry and Physics
Issue number3-4
StatePublished - May 1998


  • Hamilton-Jacobi thoery
  • Hierarchies
  • Twistors correspondences


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