Letters in Mathematical Physics

, Volume 76, Issue 1, pp 93–108

Poisson Structure and Action-Angle Variables for the Camassa–Holm Equation



The Poisson brackets for the scattering data of the Camassa-Holm equation are computed. Consequently, the action-angle variables are expressed in terms of the scattering data.


Poisson brackets Scattering data Action-angle variables 

Mathematics Subject Classifications (2000)

35Q58 37K15 


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Copyright information

© Springer 2006

Authors and Affiliations

  1. 1.School of MathematicsTrinity CollegeDublin 2Ireland
  2. 2.Institute for Nuclear Research and Nuclear EnergyBulgarian Academy of SciencesSofiaBulgaria

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