Gauge Transformations and Reciprocal Links in 2 + 1

@inproceedings{Oevel1993GaugeTA,
  title={Gauge Transformations and Reciprocal Links in 2 + 1},
  author={DimensionsW. Oevel and Charles H. Rogers},
  year={1993}
}
Generalized Lax equations are considered in the spirit of Sato theory. Three decompositions of an underlying algebra of pseudo-diierential operators lead, in turn, to three diierent classes of integrable nonlinear hierarchies. These are associated with Kadomtsev-Petviashvili, modiied Kadomtsev-Petviashvili and Dym hierarchies in 2+1 dimensions. Miura-and auto-BB acklund transformations are shown to originate naturally from gauge transformations of the Lax operators. General statements on… CONTINUE READING
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