On additional symmetry: the many-body problem related to the KP hierarchy

Kazuhiro Hikami, Miki Wadati

Research output: Contribution to journalArticle

1 Citation (Scopus)

Abstract

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.

Original languageEnglish
Pages (from-to)87-90
Number of pages4
JournalPhysics Letters A
Volume191
Issue number1-2
DOIs
Publication statusPublished - Aug 8 1994
Externally publishedYes

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many body problem
hierarchies
symmetry
nonlinear equations
interactions

All Science Journal Classification (ASJC) codes

  • Physics and Astronomy(all)

Cite this

On additional symmetry : the many-body problem related to the KP hierarchy. / Hikami, Kazuhiro; Wadati, Miki.

In: Physics Letters A, Vol. 191, No. 1-2, 08.08.1994, p. 87-90.

Research output: Contribution to journalArticle

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