Cuspon-type waves and their properties

G. Omel’yanov

doi:10.33581/1561-4085-2021-24-2-145-155

Cuspon-type waves and their properties

Research output: Contribution to journal › Article › peer-review

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	https://doi.org/10.33581/1561-4085-2021-24-2-145-155
State	Published - 2021

Bibliographical note

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© 2021, Education and Upbringing Publishing. All rights reserved.

Keywords

Asymptotics
Cuspon
General Degasperis-Procesi model
Weak solutions

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10.33581/1561-4085-2021-24-2-145-155

Cite this

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title = "Cuspon-type waves and their properties",

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.",

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AB - 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.

KW - Asymptotics

KW - Cuspon

KW - General Degasperis-Procesi model

KW - Weak solutions

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JO - Nonlinear Phenomena in Complex Systems

JF - Nonlinear Phenomena in Complex Systems

IS - 2

ER -

Cuspon-type waves and their properties

Abstract

Bibliographical note

Keywords

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