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Integrable dynamical systems with quadratic and cubic nonlinearities related to graded Lie algebras

  • Zhuhan Jiang
  • , S. Rauch-Wojciechowski
  • University of Manchester
  • Linköping University

Research output: Contribution to journalArticlepeer-review

9 Citations (Scopus)

Abstract

Practical implementation of two important methods of constructing integrable dynamical systems, the Lax pair method and the Adler-Konstant-Symes theorem, is studied. General considerations are illustrated by several examples that contain multiwave interaction systems and interacting Garnier systems as particular cases.

Original languageEnglish
Pages (from-to)1720-1732
Number of pages13
JournalJournal of Mathematical Physics
Volume32
Issue number7
DOIs
Publication statusPublished - 1991
Externally publishedYes

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