The general Degasperis–Prosesi equation (gDP) describes the evolution of the water surface in a unidirectional shallow water approximation. We consider essentially non-integrable versions of this model and analyze their cuspon-type solutions, that is continuous traveling waves with the unbounded first derivative.
|Number of pages||11|
|Journal||Nonlinear Phenomena in Complex Systems|
|State||Published - 2021|
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- General Degasperis-Procesi model
- Weak solutions