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Exploding Solitons and Shilnikovs Theorem

Akhmediev, Nail; Soto-Crespo, Jose M


We have performed a detailed linear stability analysis of exploding solitons of the complex cubic-quintic Ginzburg-Landau (CGLE) equation. We have found, numerically, the whole set of perturbation eigenvalues for these solitons. We propose a scenario of soliton evolution based on this spectrum of eigenvalues. We relate exploding and self-restoring behavior of solitons to the Shil'nikov theorem, and point out common features and differences between our system, with an infinite number of degrees...[Show more]

CollectionsANU Research Publications
Date published: 2003
Type: Journal article
Source: Physics Letters A
DOI: 10.1016/j.physleta.2003.08.060


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