Kac-moody lie algebras and soliton equations. III. Stationary equations associated with A1(1)

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12 Scopus citations

Abstract

The Hamiltonian structure of stationary soliton equations associated with the AKNS eigenvalue problem is derived in two ways. First, it is shown to arise from the Kostant-Kirillov symplectic structure on a coadjoint orbit in an infinite-dimensional Lie algebra. Second, it is obtained as the restriction to a finite-dimensional manifold of the infinite-dimensional Hamiltonian structure associated with a certain eigenvalue problem polynomial in the eigenvalue parameter.

Original languageEnglish (US)
Pages (from-to)324-332
Number of pages9
JournalPhysica D: Nonlinear Phenomena
Volume9
Issue number3
DOIs
StatePublished - Dec 1983

ASJC Scopus subject areas

  • Statistical and Nonlinear Physics
  • Mathematical Physics
  • Condensed Matter Physics
  • Applied Mathematics

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