# Generalized KP hierarchy: Mbius symmetry, symmetry constraints and CalogeroMoser system

@article{Bogdanov1999GeneralizedKH,
title={Generalized KP hierarchy: Mbius symmetry, symmetry constraints and CalogeroMoser system},
author={L. V. Bogdanov and B. G. Konopelchenko},
journal={Physica D: Nonlinear Phenomena},
year={1999}
}
• Published 6 December 1999
• Mathematics
• Physica D: Nonlinear Phenomena
6 Citations

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### Trigonometric Calogero-Moser System as a Symmetry Reduction of KP Hierarchy

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• 2001
Trigonometric non-isospectral flows are defined for KP hierarchy. It is demonstrated that symmetry constraints of KP hierarchy associated with these flows give rise to trigonometric Calogero-Moser

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. In earlier papers of the author it was shown that some simple commutator identities on an associative algebra generate integrable nonlinear equations. Here, this observation is generalized to the

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We consider the direct and inverse problems for the Hirota difference equation. We introduce the Jost solutions and scattering data and describe their properties. In a special case, we show that the

### 3-Algebraic structures of the quantum Calogero-Moser model

• Mathematics
• 2014
We investigate the quantum Calogero-Moser model and reveal its hidden symmetries, i.e., the $W_{1+\infty}$ and Virasoro-Witt 3-algebras. In the large $N$ limit, we note that these two infinite

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