Nonlinear Integrable Systems
نویسنده
چکیده
W algebras arise in the study of various nonlinear integrable systems such as: self-dual gravity, the KP and Toda hierarchies, their quasi-classical (or dispersionless) limit, etc. Twistor theory provides a geometric background for these algebras. Present state of these topics is overviewed. A few ideas on possible deformations of self-dual gravity (including quantum deformations) are presented. Expanded version of talk at RIMS workshop “Algebraic Analysis,” Kyoto University, March 23-26, 1992 E-mail: [email protected], [email protected]
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