A stability analysis of periodic solutions to the steady forced Korteweg–de Vries–Burgers equation

Autor:	Simon R Clarke, Laura-Jane Louise Hattam
Rok vydání:	2015
Předmět:	Floquet theory Computational Mathematics Applied Mathematics Modeling and Simulation Mathematical analysis General Physics and Astronomy Perturbation (astronomy) Governing equation Mathematics Burgers' equation
Zdroj:	Wave Motion. 59:42-51
ISSN:	0165-2125
Popis:	The stability of periodic solutions to the steady forced Korteweg–de Vries–Burgers (fKdVB) equation is investigated here. This family of periodic solutions was identified by Hattam and Clarke (2015) using a multi-scale perturbation technique. Here, Floquet theory is applied to the governing equation. Consequently, two criteria are found that determine when the periodic solutions are stable. This analysis is then confirmed by a numerical study of the steady fKdVB equation.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::3c8998883573c2830c1483f3000ebe99 https://doi.org/10.1016/j.wavemoti.2015.07.006 Zobrazit plný text záznamu Full Text from ScienceDirect