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On the stability of localized structures in the complex Ginzburg–Landau equation

✍ Scribed by O Descalzi

Publisher
Elsevier Science
Year
2003
Tongue
English
Weight
127 KB
Volume
327
Category
Article
ISSN
0378-4371

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✦ Synopsis

We study analytically the asymptotic linear stability of ÿxed-modulus dissipative-dispersive localized solutions of the one-dimensional quintic complex Ginzburg-Landau (GL) equation in the region where there exists a coexistence of homogeneous attractors. The linear analysis gives an indication for the existence of pulses with an oscillating modulus.

📜 SIMILAR VOLUMES

On the stable hole solutions in the comp
On the stable hole solutions in the complex Ginzburg–Landau equation
✍ Orazio Descalzi; Gustavo Düring; Enrique Tirapegui 📂 Article 📅 2005 🏛 Elsevier Science 🌐 English ⚖ 203 KB

We show numerically that the one-dimensional quintic complex Ginzburg-Landau equation admits four different types of stable hole solutions. We present a simple analytic method which permits to calculate the region of existence and approximate shape of stable hole solutions in this equation. The anal