Cuspon-type waves and their properties

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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.

Original languageEnglish
Pages (from-to)145-155
Number of pages11
JournalNonlinear Phenomena in Complex Systems
Issue number2
StatePublished - 2021

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  • Asymptotics
  • Cuspon
  • General Degasperis-Procesi model
  • Weak solutions


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