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http://bura.brunel.ac.uk/handle/2438/522| Title: | On a Cubic-Quintic Ginzburg-Landau Equation with Global Coupling |
| Authors: | Winter, M Wei, J |
| Keywords: | Cubic-quintic Ginzburg-Landau Equation;Stability, Pattern Formation |
| Issue Date: | 2005 |
| Publisher: | First published in PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY Volume 133, Number 6, Pages 1787–1796, published by the American Mathematical Society |
| Citation: | Proc AMS 133 (2005), 1787-1796 |
| Abstract: | We study standing wave solutions in a Ginzburg-Landau equation which consists of a cubic-quintic equation stabilized by global coupling A_t= \Delta A +\mu A + c A^3 -A^5 -k A (\int_{R^n} A^2\,dx). We classify the existence and stability of all possible standing wave solutions. |
| URI: | http://bura.brunel.ac.uk/handle/2438/522 |
| Appears in Collections: | Dept of Mathematics Research Papers Mathematical Sciences |
Files in This Item:
| File | Description | Size | Format | |
|---|---|---|---|---|
| 30-cubqui8.pdf | 141.77 kB | Adobe PDF | View/Open |
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