Water waves and integrability
type: Item
instance of: scholarly article
title: Water waves and integrability
zbMATH Open document ID: 1152.76322
published in: Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences
publication date: 2009-01-20T00:00:00Z
full work available at URL: https://arxiv.org/abs/0707.1839
Mathematics Subject Classification ID: 76B03
Mathematics Subject Classification ID: 35Q35
zbMATH DE Number: 5494632
zbMATH Keywords: Euler's equations
zbMATH Keywords: integrability
zbMATH Keywords: Camassa-Holm equation
zbMATH Keywords: Degasperis-Procesi equation
zbMATH Keywords: Korteweg-de Vries equation
author: Rossen I. Ivanov
MaRDI profile type: Publication
OpenAlex ID: W3103101607
Wikidata QID: Q51919917
arXiv ID: 0707.1839
cites work: An integrable shallow water equation with peaked solitons
cites work: A new hierarchy of Korteweg–de Vries equations
cites work: On the scattering problem for the Camassa-Holm equation
cites work: Asymptotic Integrability of Water Waves
cites work: On the Inverse Scattering Problem for Cubic Eigenvalue Problems of the Class ψxxx + 6Qψx + 6Rψ = λψ
cites work: The multiple-soliton solution of the Camassa-Holm equation
cites work: On the Camassa-Holm equation and a direct method of solution I. Bilinear form and solitary waves
cites work: On the Camassa–Holm equation and a direct method of solution. II. Soliton solutions
cites work: On the Camassa–Holm equation and a direct method of solution. III. N -soliton solutions
DOI: 10.1098/RSTA.2007.2007
Recommended article: Some Water Wave Equations and Integrability
Recommended article: Asymptotic Integrability of Water Waves
Recommended article: Q4694011
Recommended article: Q3536019
Recommended article: Q3678844
Recommended article: Multiple integral equations arising in the theory of water waves
Recommended article: Q4440482
Recommended article: Some mathematical aspects of water waves
Recommended article: Well-posedness of the water-waves equations
Recommended article: The Classical Problem of Water Waves: a Reservoir of Integrable and Nearly-Integrable Equations
description: scientific article; zbMATH DE number 5494632