Abstract
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.
Original language | English |
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Pages (from-to) | 2559-2575 |
Number of pages | 17 |
Journal | Nonlinearity |
Volume | 23 |
Issue number | 10 |
DOIs | |
Publication status | Published - Oct 2010 |