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arXiv · hep-th/9209006

R-Matrix Formulation of KP Hierarchies and their Gauge Equivalence

H. Aratyn·E. Nissimov·S. Pacheva·I. Vaysburd
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Abstract

The Adler-Kostant-Symes $R$-bracket scheme is applied to the algebra of pseudo-differential operators to relate the three integrable hierarchies: KP and its two modifications, known as nonstandard integrable models. All three hierarchies are shown to be equivalent and connection is established in the form of a symplectic gauge transformation. This construction results in a new representation of the W-infinity algebras in terms of 4 bosonic fields.

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H. Aratyn, E. Nissimov, S. Pacheva, I. Vaysburd. 1992-09-01. R-Matrix Formulation of KP Hierarchies and their Gauge Equivalence. https://doi.org/10.1016/0370-2693(92)90678-w

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