TY - JOUR

T1 - On additional symmetry

T2 - the many-body problem related to the KP hierarchy

AU - Hikami, Kazuhiro

AU - Wadati, Miki

PY - 1994/8/8

Y1 - 1994/8/8

N2 - Nonlinear integrable equations, such as the KdV equation, the Boussinesq equation and the KP equation, have a close relation with the many-body problem. The solutions of such equations are the same as the restricted flows of the classical Calogero model, which is a one-dimensional particle system with inverse square interactions. The KP hierarchy and the Calogero model share the same structure called "additional symmetry". This additional symmetry plays a crucial role in this relation.

AB - Nonlinear integrable equations, such as the KdV equation, the Boussinesq equation and the KP equation, have a close relation with the many-body problem. The solutions of such equations are the same as the restricted flows of the classical Calogero model, which is a one-dimensional particle system with inverse square interactions. The KP hierarchy and the Calogero model share the same structure called "additional symmetry". This additional symmetry plays a crucial role in this relation.

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U2 - 10.1016/0375-9601(94)90563-0

DO - 10.1016/0375-9601(94)90563-0

M3 - Article

AN - SCOPUS:43949160283

VL - 191

SP - 87

EP - 90

JO - Physics Letters, Section A: General, Atomic and Solid State Physics

JF - Physics Letters, Section A: General, Atomic and Solid State Physics

SN - 0375-9601

IS - 1-2

ER -