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VOL. 14 | 2013 2D Novel Structures Along an Optical Fiber
Charles-Julien Vandamme, Stefan C. Mancas

Editor(s) Ivaïlo M. Mladenov, Andrei Ludu, Akira Yoshioka


By using spectral methods, we present seven classes of stable and unstable structures that occur in a dissipative media. By varying parameters and initial conditions we find ranges of existence of stable structures (spinning elliptic, pulsating, stationary, organized exploding), and unstable structures (filament, disorganized exploding, creeping). By varying initial conditions, vorticity, and parameters of the equation, we find a reacher behavior of solutions in the form of creeping-vortex (propellers), spinning rings and spinning “bean-shape” solitons. Each class differentiates from the other by distinctive features of their shape and energy evolution, as well as domain of existence.


Published: 1 January 2013
First available in Project Euclid: 13 July 2015

zbMATH: 1382.35276
MathSciNet: MR3183942

Digital Object Identifier: 10.7546/giq-14-2013-227-243

Rights: Copyright © 2013 Institute of Biophysics and Biomedical Engineering, Bulgarian Academy of Sciences


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