Pattern selection of solutions of the Swift–Hohenberg equation
✍ Scribed by Lambertus A. Peletier; Vivi Rottschäfer
- Publisher
- Elsevier Science
- Year
- 2004
- Tongue
- English
- Weight
- 367 KB
- Volume
- 194
- Category
- Article
- ISSN
- 0167-2789
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The Swift-Hohenberg equation with dispersion is considered. Traveling wave solutions of the Swift-Hohenberg equation with dispersion are presented. The classification of these solutions is given. It is shown that the Swift-Hohenberg equation without dispersion has only stationary meromorphic solutio
We show using numerical simulations that a variety of localized patterns arise in a model equation: the quintic Swift-Hohenberg equation with complex coefficients. We demonstrate that various sizes of localized standing wave patterns are possible when the imaginary part of the complex coefficient is