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

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Resumen

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.

Idioma original	Inglés
Páginas (desde-hasta)	145-155
Número de páginas	11
Publicación	Nonlinear Phenomena in Complex Systems
Volumen	24
N.º	2
DOI	https://doi.org/10.33581/1561-4085-2021-24-2-145-155
Estado	Publicada - 2021

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

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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.",

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",

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AU - Omel’yanov, G.

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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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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

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EP - 155

JO - Nonlinear Phenomena in Complex Systems

JF - Nonlinear Phenomena in Complex Systems

SN - 1561-4085

IS - 2

ER -

Cuspon-type waves and their properties

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