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Stationary modulated-amplitude waves in the 1D complex Ginzburg–Landau equation

✍ Scribed by Yueheng Lan; Nicolas Garnier; Predrag Cvitanović

Publisher
Elsevier Science
Year
2004
Tongue
English
Weight
254 KB
Volume
188
Category
Article
ISSN
0167-2789

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✦ Synopsis

We reformulate the 1D complex Ginzburg-Landau equation as a fourth-order ordinary differential equation in order to find stationary spatially periodic solutions. Using this formalism, we prove the existence and stability of stationary modulated-amplitude wave solutions. Approximate analytic expressions and a comparison with numerics are given.

📜 SIMILAR VOLUMES

Spiral wave dynamics in the complex Ginz
Spiral wave dynamics in the complex Ginzburg-Landau equation with broken chiral symmetry
✍ Keeyeol Nam; Edward Ott; Michael Gabbay; Parvez N. Guzdar 📂 Article 📅 1998 🏛 Elsevier Science 🌐 English ⚖ 955 KB

The effect of adding a chiral symmetry breaking term to the two-dimensional complex Ginzburg-Landau equation is investigated. We find that this term causes a shift in the frequency of the spiral wave solutions and that the sign of this shift depends on the topological charge (handedness) of the spir