On the Additional Symmetry; Many-Body Problem Related to the KP Hierarchy
High Energy Physics - Theory
2016-09-06 v1
Abstract
Nonlinear integrable equations, such as the KdV equation, the Boussinesq equation and the KP equation, have the close relation with many-body problem. The solutions of such equations are the same as the restricted flows of the classical Calogero model, which is one-dimensional particle system with inverse square interactions. The KP hierarchy and the Calogero model share the same structure called ``additional symmetry''. This symmetry plays a crucial role in this relation.
Keywords
Cite
@article{arxiv.hep-th/9402026,
title = {On the Additional Symmetry; Many-Body Problem Related to the KP Hierarchy},
author = {Kazuhiro Hikami and Miki Wadati},
journal= {arXiv preprint arXiv:hep-th/9402026},
year = {2016}
}
Comments
8 pages