Modulation theory for the Camassa-Holm equation
Speaker:
Simonetta Abenda, University of Bologna
Date and Time:
Friday, May 21, 2004 - 11:15am to 12:00pm
Location:
Fields Institute, Room 230
Abstract:
Using the Whitham method, we derive the modulation equations for the Camassa-Holm equation. The modulation equations are hyperbolic and can be integrated through the so called hodograph transform. The equations are Hamiltonian with respect to a nonlocal Poisson bracket. A reciprocal transformation of the space-time maps the non-local Poisson bracket to the Poisson bracket of the Whitham equation for KdV.