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Exponential attractor for coupled Ginzburg-Landau equations describing Bose-Einstein condensates and nonlinear optical waveguides and cavities. (English) Zbl 1275.35049

Summary: The existence of the exponential attractors for coupled Ginzburg-Landau equations describing Bose-Einstein condensates and nonlinear optical waveguides and cavities with periodic initial boundary is obtained by showing Lipschitz continuity and the squeezing property.

MSC:

35B41 Attractors
35Q56 Ginzburg-Landau equations
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References:

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