Forced ILW-Burgers equation as a model for Rossby solitary waves generated by topography in finite depth fluids
type: Item
instance of: scholarly article
title: Forced ILW-Burgers equation as a model for Rossby solitary waves generated by topography in finite depth fluids
zbMATH Open document ID: 1267.35080
DOI: 10.1155/2012/491343
author: Yunlong Shi
author: Qingbiao Wang
author: Hong-Wei Yang
author: Bao-Shu Yin
published in: Journal of Applied Mathematics
publication date: 2013-06-03T00:00:00Z
review text: Summary: The paper presents an investigation of the generation, evolution of Rossby solitary waves generated by topography in finite depth fluids. The forced ILW- (Intermediate Long Waves-) Burgers equation as a model governing the amplitude of solitary waves is first derived and shown to reduce to the KdV- (Korteweg-de Vries-) Burgers equation in shallow fluids and BO- (Benjamin-Ono-) Burgers equation in deep fluids. By analysis and calculation, the perturbation solution and some conservation relations of the ILW-Burgers equation are obtained. Finally, with the help of pseudospectral method, the numerical solutions of the forced ILW-Burgers equation are given. The results demonstrate that the detuning parameter \(\alpha\) holds important implications for the generation of the solitary waves. By comparing with the solitary waves governed by ILW-Burgers equation and BO-Burgers equation, we can conclude that the solitary waves generated by topography in finite depth fluids are different from that in deep fluids.
Mathematics Subject Classification ID: 35C08
Mathematics Subject Classification ID: 35Q53
zbMATH DE Number: 6169922
zbMATH Keywords: intermediate long waves
zbMATH Keywords: Benjamin-Ono equation
zbMATH Keywords: pseudospectral method
Wikidata QID: Q58905989
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2012/491343
OpenAlex ID: W2103013384
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DBLP publication ID: journals/jam/YangYSW12
description: scientific article; zbMATH DE number 6169922