A dressing method for soliton solutions of the Camassa-Holm equation
arXiv:1702.01128 · doi:10.1063/1.5007370
Abstract
The soliton solutions of the Camassa-Holm equation are derived by the implementation of the dressing method. The form of the one and two soliton solutions coincides with the form obtained by other methods.
arXiv comment18 pages, 2 figures
References in corpus (9)
- An integrable shallow water equation with peaked solitons
- The hydrodynamical relevance of the Camassa-Holm and Degasperis-Procesi equations
- Inverse Scattering Transform for the Camassa-Holm equation
- On asymptotically equivalent shallow water wave equations
- Parametric Representation for the Multisoliton Solution of the Camassa-Holm Equation
- Bäcklund transformations for the Camassa-Holm equation
- Generalised Fourier transform for the Camassa-Holm hierarchy
- Dressing Method for the Degasperis-Procesi Equation
- On the Field Equations of Kaluza's Theory