This item is available under a Creative Commons License for non-commercial use only
We develop the Inverse Scattering Transform (IST) method for the Degasperis- Procesi equation. The spectral problem is an sl(3) Zakharov-Shabat problem with constant boundary conditions and finite reduction group. The basic aspects of the IST such as the construction of fundamental analytic solutions, the formulation of a Riemann-Hilbert problem, and the implementation of the dressing method are presented.
Constantin,A,Ivanov, R., Lenells, J.: Inverse Scattering Transform for the Degasperis–Procesi Equation. Nonlinearity 23 (2010) pp.2559–2575.