Numerical solution of some nonlocal, nonlinear dispersive wave equations
type: Item
instance of: scholarly article
title: Numerical solution of some nonlocal, nonlinear dispersive wave equations
zbMATH Open document ID: 0965.65122
published in: Journal of Nonlinear Science
publication date: 2001-07-16T00:00:00Z
review text: A spectral method is used to solve numerically the Benjamin-Ono and the intermediate long wave equations which are nonlocal, nonlinear, dispersive, integrable wave equations. The authors study the resolution property of arbitrary initial profiles into sequences of solitary waves for both equations and clean interaction of Benjamin-Ono solitary waves. It is verified numerically that the behaviour of the solution of the intermediate long wave equation is the one predicted by the theory as the model parameter tends to the inifinite depth limit.
reviewed by: Plamen Yalamov
Mathematics Subject Classification ID: 65M70
Mathematics Subject Classification ID: 35Q35
Mathematics Subject Classification ID: 35S10
Mathematics Subject Classification ID: 76M22
Mathematics Subject Classification ID: 76B15
zbMATH DE Number: 1523433
zbMATH Keywords: nonlocal nonlinear dispersive wave equation
zbMATH Keywords: spectral method
zbMATH Keywords: Benjamin-Ono equation
zbMATH Keywords: intermediate long wave equation
zbMATH Keywords: numerical examples
zbMATH Keywords: solitary waves
author: B. Pelloni
author: V. A. Dougalis
MaRDI profile type: Publication
full work available at URL: s003329910001
OpenAlex ID: W2014366019
DOI: 10.1007/S003329910001
Recommended article: Q3033490
Recommended article: Q3162974
Recommended article: Q3324982
Recommended article: Numerical schemes for a model for nonlinear dispersive waves
Recommended article: Numerical Dispersive Schemes for the Nonlinear Schrödinger Equation
Recommended article: Q3716567
Recommended article: Q3079858
Recommended article: Numerical solution of nonlinear wave equations in stratified dispersive media
Recommended article: Q3768310
Recommended article: Q3421279
description: scientific article; zbMATH DE number 1523433