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Dispersionless integrable equations as coisotropic deformations: Extensions and reductions

2006/08/18 by B. G. Konopelchenko, F. Magri · 1 citation
Mathematics · Physics and Astronomy · #Homotopy and Cohomology in Algebraic Topology #Nonlinear Waves and Solitons #Numerical methods for differential equations #math.AC #math.DS #math.SG #nlin.SI

paper · pdf · doi:10.1007/s11232-007-0066-4

21 pages, misprints corrected

arxiv created 2006/08/18 · openalex publication_date 2007/06/01 · arxiv updated 2009/12/01 · openalex created_date 2019/06/27 · openalex updated_date 2026/07/28

Abstract

Interpretation of dispersionless integrable hierarchies as equations of coisotropic deformations for certain algebras and other algebraic structures like Jordan triple systInterpretation of dispersionless integrable hierarchies as equations of coisotropic deformations for certain algebras and other algebraic structures like Jordan triple systems is discussed. Several generalizations are considered. Stationary reductions of the dispersionless integrable equations are shown to be connected with the dynamical systems on the plane completely integrable on a fixed energy level. ems is discussed. Several generalizations are considered. Stationary reductions of the dispersionless integrable equations are shown to be connected with the dynamical systems on the plane completely integrable on a fixed energy level.

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