Generalized Miura Transformations, Two-Boson KP Hierarchies and their Reduction to KDV Hierarchies

Details Generalized Miura Transformations, Two-Boson KP Hierarchies and their Reduction to KDV Hierarchies Generalized Miura Transformations, Two-Boson KP Hierarchies and their Reduction to KDV Hierarchies

1993-02-25

arxiv.org/abs/hep-th/9302125v1

Mod.Phys.Lett. A8 (1993) 3079-3092

Physics

High Energy Physics

High Energy Physics - Theory

12 pgs., LaTeX, IFT-P/011/93, UICHEP-TH/93-1

Scientific paper

Bracket preserving gauge equivalence is established between several two-boson
generated KP type of hierarchies. These KP hierarchies reduce under symplectic
reduction (via Dirac constraints) to KdV, mKdV and Schwarzian KdV hierarchies.
Under this reduction the gauge equivalence is taking form of the conventional
Miura maps between the above KdV type of hierarchies.

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