Homoclinic orbit for the cubic-quintic Ginzburg-Landau equation

Authors
Xu, PC Chang, QS
Citation
Pc. Xu et Qs. Chang, Homoclinic orbit for the cubic-quintic Ginzburg-Landau equation, CHAOS SOL F, 10(7), 1999, pp. 1161-1170
Citations number
12
Categorie Soggetti
Multidisciplinary
Journal title
CHAOS SOLITONS & FRACTALS
ISSN journal
09600779 → ACNP
Volume
10
Issue
7
Year of publication
1999
Pages
1161 - 1170
Database
ISI
SICI code
0960-0779(199907)10:7<1161:HOFTCG>2.0.ZU;2-0
Abstract
The Ginzburg-Landau equation with small complex coefficients is discussed i n this paper. A transformation is introduced to change the equation into a three order, ordinary differential equation and the existence of the homocl inic orbit for this system has been proved by analytical methods. (C) 1999 Elsevier Science Ltd. All rights reserved.