Abundance of stable stationary localized solutions to the generalized 1D Swift-Hohenberg equation
type: Item
instance of: scholarly article
title: Abundance of stable stationary localized solutions to the generalized 1D Swift-Hohenberg equation
zbMATH Open document ID: 0913.76076
DOI: 10.1016/S0898-1221(97)00127-2
publication date: 1999-05-25T00:00:00Z
review text: The authors consider the generalized Swift-Hohenberg equation \(u_t=\alpha u+\beta u^2 - u^3 - (1+\Delta)^2u\) and find a number of stationary localized solutions by using the theory of homoclinic orbits to a saddle-focus equilibrium and some results of symmetric differential operators along with computer simulations.
Mathematics Subject Classification ID: 76M99
Mathematics Subject Classification ID: 35Q35
zbMATH DE Number: 1107124
zbMATH Keywords: theory of homoclinic orbits
zbMATH Keywords: saddle-focus equilibrium
zbMATH Keywords: symmetric differential operators
zbMATH Keywords: computer simulations
author: Leonid A. Belyakov
author: Lev Glebsky
author: L. M. Lerman
reviewed by: Gheorghe Moroşanu
MaRDI profile type: Publication
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published in: Computers & Mathematics with Applications
description: scientific article; zbMATH DE number 1107124