On the Additional Symmetry; Many-Body Problem Related to the KP Hierarchy

Details On the Additional Symmetry; Many-Body Problem Related to the KP Hierarchy On the Additional Symmetry; Many-Body Problem Related to the KP Hierarchy

1994-02-04

arxiv.org/abs/hep-th/9402026v1

Physics

High Energy Physics

High Energy Physics - Theory

8 pages

Scientific paper

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.

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