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arxiv: hep-th/9405096 · v3 · submitted 1994-05-16 · ✦ hep-th · nlin.SI· solv-int

Integrable Hierarchies and Dispersionless Limit

Kanehisa Takasaki (Kyoto University) , Takashi Takebe (University of Tokyo) This is my paper
classification ✦ hep-th nlin.SIsolv-int
keywords dispersionlesshierarchytodaconstructionhierarchiesdressingordinarysolutions
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Analogues of the KP and the Toda lattice hierarchy called dispersionless KP and Toda hierarchy are studied. Dressing operations in the dispersionless hierarchies are introduced as a canonical transformation, quantization of which is dressing operators of the ordinary KP and Toda hierarchy. An alternative construction of general solutions of the ordinary KP and Toda hierarchy is given as twistor construction which is quatization of the similar construction of solutions of dispersionless hierarchies. These results as well as those obtained in previous papers are presented with proofs and necessary technical details.

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Cited by 2 Pith papers

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