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Nonlinear stability of source defects in the complex Ginzburg–Landau equation

✍ Scribed by Beck, Margaret; Nguyen, Toan T; Sandstede, Björn; Zumbrun, Kevin


Book ID
127032423
Publisher
Institute of Physics
Year
2014
Tongue
English
Weight
699 KB
Volume
27
Category
Article
ISSN
0951-7715

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On the stability of localized structures
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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