On the Prolongation of a Hierarchy of Hydrodynamic Chains

  • A. B. Shabat
  • L. Martínez Alonso
Part of the NATO Science Series book series (NAII, volume 132)


The prolongation of a hierarchy of hydrodynamic chains previously studied by the authors is presented and the properties of the differential reductions of the enlarged hierarchy are derived. Several associated nonlinear integrable models are exhibited. In particular, it is found that the Camassa-Holm equation can be described as a second-order differential reduction of one of the new flows included in the hierarchy.


Burger Equation Holm Equation Formal Laurent Series Solitonic Hierarchy Hydrodynamic Chain 
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Copyright information

© Springer Science+Business Media Dordrecht 2004

Authors and Affiliations

  • A. B. Shabat
    • 1
  • L. Martínez Alonso
    • 2
  1. 1.Landau Institute for Theoretical PhysicsRASMoscowRussia
  2. 2.Departamento de Física Teórica IIUniversidad ComplutenseMadridSpain

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