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

Publisher Copyright:
© 2021, Education and Upbringing Publishing. All rights reserved.

Keywords

Asymptotics
Cuspon
General Degasperis-Procesi model
Weak solutions

Access to Document

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

Cite this

@article{ab6e5781757f4d2c85aa746a98c246ba,

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.",

keywords = "Asymptotics, Cuspon, General Degasperis-Procesi model, Weak solutions",

author = "G. Omel{\textquoteright}yanov",

year = "2021",

doi = "10.33581/1561-4085-2021-24-2-145-155",

language = "Ingl{\'e}s",

volume = "24",

pages = "145--155",

journal = "Nonlinear Phenomena in Complex Systems",

issn = "1561-4085",

publisher = "Education and Upbringing Publishing",

number = "2",

}

TY - JOUR

T1 - Cuspon-type waves and their properties

AU - Omel’yanov, G.

PY - 2021

Y1 - 2021

N2 - 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.

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

UR - http://www.scopus.com/inward/record.url?scp=85111110193&partnerID=8YFLogxK

U2 - 10.33581/1561-4085-2021-24-2-145-155

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

M3 - Artículo

AN - SCOPUS:85111110193

SN - 1561-4085

VL - 24

SP - 145

EP - 155

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

Access to Document

Other files and links

Fingerprint

Cite this