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arXiv · hep-th/9312144

On Discrete Symmetries of the Multi-Boson KP Hierarchies

H. Aratyn·L. A. Ferreira·A. H. Zimerman
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Abstract

We show that the multi-boson KP hierarchies possess a class of discrete symmetries linking them to the discrete Toda systems. These discrete symmetries are generated by the similarity transformation of the corresponding Lax operator. This establishes a canonical nature of the discrete transformations. The spectral equation, which defines both the lattice system and the corresponding Lax operator, plays a key role in determining pertinent symmetry structure. We also introduce a concept of the square-root lattice leading to a family of new pseudo-differential operators with covariance under additional Bäcklund transformations.

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H. Aratyn, L. A. Ferreira, A. H. Zimerman. 1993-12-16. On Discrete Symmetries of the Multi-Boson KP Hierarchies. https://doi.org/10.1016/0370-2693(94)90727-7

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