Abstract
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 language | English |
---|---|
Pages (from-to) | 145-155 |
Number of pages | 11 |
Journal | Nonlinear Phenomena in Complex Systems |
Volume | 24 |
Issue number | 2 |
DOIs | |
State | Published - 2021 |
Bibliographical note
Publisher Copyright:© 2021, Education and Upbringing Publishing. All rights reserved.
Keywords
- Asymptotics
- Cuspon
- General Degasperis-Procesi model
- Weak solutions