Violation of symmetry in the Ginzburg-Landau equation and emergence of the continuum of periodic solutions
type: Item
instance of: scholarly article
zbMATH Open document ID: 0973.35101
author: Yu. G. Borisovich
author: V. N. Livina
publication date: 2001-07-05T00:00:00Z
Mathematics Subject Classification ID: 35K55
Mathematics Subject Classification ID: 35Q40
Mathematics Subject Classification ID: 47J15
zbMATH DE Number: 1614384
zbMATH Keywords: Ginzburg-Landau equation
zbMATH Keywords: continuum of periodic solutions
MaRDI profile type: Publication
title: Violation of symmetry in the Ginzburg-Landau equation and emergence of the continuum of periodic solutions
published in: Trudy Matematicheskogo Fakul'teta. Novaya Seriya. Voronezhskiĭ Gosudarstvennyĭ Universitet
review text: Transforming the classical Ginzburg-Landau equation \(\Delta v+\lambda v(1-|v|^2)= 0\) in the form \(\varphi+ \omega^2\varphi+ \varepsilon\varphi(1- (\omega^2+ \varepsilon)|\varphi|^2)= 0\), the authors study those values of the energy variables \((\xi_1,\xi_2)\) for which solutions emerge from the function \(\psi= \xi_1 e^{i\omega t}+ \xi_2e^{-i\omega t}\).
reviewed by: Jürgen Appell
description: scientific article; zbMATH DE number 1614384