Ju n 20 05 Modulation of Camassa – Holm equation and reciprocal transformations Simonetta Abenda

@inproceedings{SISSA2005JuN2,
  title={Ju n 20 05 Modulation of Camassa – Holm equation and reciprocal transformations Simonetta Abenda},
  author={Tamara Grava SISSA},
  year={2005}
}
  • Tamara Grava SISSA
  • Published 2005
We derive the modulation equations or Whitham equations for the Camassa– Holm (CH) equation. We show that the modulation equations are hyperbolic and admit bi-Hamiltonian structure. Furthermore they are connected by a reciprocal transformation to the modulation equations of the first negative flow of the Korteweg de Vries (KdV) equation. The reciprocal… CONTINUE READING