Hierarchy of (2 + 1)-dimensional nonlinear Schrödinger equation, self-dual Yang-Mills equation, and toroidal Lie algebras

S. Kakei, T. Ikeda, K. Takasaki

Research output: Contribution to journalArticle

10 Citations (Scopus)

Abstract

The hierarchy structure associated with a (2 + 1)-dimensional Nonlinear Schrödinger equation is discussed as an extension of the theory of the KP hierarchy. Several methods to construct special solutions are given. The relation between the hierarchy and a representation of toroidal Lie algebras are established by using the language of free fermions. A relation to the self-dual Yang-Mills equation is also discussed.

Original languageEnglish
Pages (from-to)817-845
Number of pages29
JournalAnnales Henri Poincare
Volume3
Issue number5
DOIs
Publication statusPublished - 2002
Externally publishedYes

ASJC Scopus subject areas

  • Statistical and Nonlinear Physics
  • Nuclear and High Energy Physics
  • Mathematical Physics

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