Soliton solutions of a Calogero model in a harmonic potential

DOI10.1088/1751-8113/44/29/295203zbMath1223.37080arXiv1103.6231OpenAlexW3102821052MaRDI QIDQ5198482

Alexander G. Abanov, Andrey Gromov, Manas Kulkarni

Publication date: 8 August 2011

Published in: Journal of Physics A: Mathematical and Theoretical (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1103.6231

zbMATH Keywords

soliton solutionsharmonic Calogero model

Mathematics Subject Classification ID

Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) Soliton equations (35Q51)

Related Items (8)

Duality in a hyperbolic interaction model integrable even in a strong confinement: multi-soliton solutions and field theory ⋮ Nonuniqueness for the Nonlocal Liouville Equation in \(\mathbb{R}\) and Applications ⋮ Emergence of the Calogero family of models in external potentials: duality, solitons and hydrodynamics ⋮ Self-dual form of Ruijsenaars-Schneider models and ILW equation with discrete Laplacian ⋮ Jastrow-like ground states for quantum many-body potentials with near-neighbors interactions ⋮ Some connections between the classical Calogero-Moser model and the log-gas ⋮ Uniqueness for the nonlocal Liouville equation in \(\mathbb{R}\) ⋮ Quasiparticle kinetic theory for Calogero models

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