Special Session 36: 

Camassa-Holm equation - soliton and cuspon solutions and their interactions

Rossen I Ivanov
Dublin Institute of Technology
Ireland
Co-Author(s):    Tony Lyons, Nigel Orr
Abstract:
We present the derivation of the soliton and cuspon solutions of the Camassa-Holm equation by the implementation of the dressing method. The form of the one and two soliton and cuspon solutions as well as soliton-cuspon interactions will be discussed.