Abstract
We present a detailed study of exploding solitons of the complex cubic-quintic Ginzburg-Landau equation. We show that exploding solitons occur in a vast regions of the parameter space. These are related to the areas where eigenvalues in the linear stability analysis for the ground-state stationary solitons have positive real parts. We also show that this behavior is universal, and that it occurs when we use models with parameter management or add new terms (such as third-order dispersion). The stationary soliton appears to be unstable in these regions and it explodes intermittently, but it attracts the chaotic localized structures around it, thus acting as a ‘strange attractor’.
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© 2004 Kluwer Academic Publishers
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Akhmediev, N., Soto-Crespo, J.M., Ankiewicz, A. (2004). Solitons as Strange Attractors. In: Abdullaev, F.K., Konotop, V.V. (eds) Nonlinear Waves: Classical and Quantum Aspects. NATO Science Series II: Mathematics, Physics and Chemistry, vol 153. Springer, Dordrecht. https://doi.org/10.1007/1-4020-2190-9_4
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DOI: https://doi.org/10.1007/1-4020-2190-9_4
Publisher Name: Springer, Dordrecht
Print ISBN: 978-1-4020-2188-6
Online ISBN: 978-1-4020-2190-9
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