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- W2032083374 abstract "In this article we construct, both asymptotically and numerically, multibump, blow-up, self-similar solutions to the complex Ginzburg--Landau equation (CGL) in the limit of small dissipation. Through a careful asymptotic analysis, involving a balance of both algebraic and exponential terms, we determine the parameter range over which these solutions may exist. Most intriguingly, we determine a branch of solutions that are not perturbations of solutions to the nonlinear Schrodinger equation (NLS); moreover, they are not monotone, but they are stable. Furthermore, these axisymmetric ring-like solutions exist over a broader parameter regime than the monotone profile." @default.
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- W2032083374 date "2005-01-01" @default.
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- W2032083374 title "Multibump, Blow-Up, Self-Similar Solutions of the Complex Ginzburg--Landau Equation" @default.
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- W2032083374 doi "https://doi.org/10.1137/040610866" @default.
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