The origin of motion of solitary waves near Hopf-bifurcations

D. Michaelis; U. Peschei; F. Lederer; D.V. Skraybin; W J. Firth

doi:10.1364/NLGW.2002.NLTuB5

Nonlinear Guided Waves and Their Applications
OSA Trends in Optics and Photonics (Optica Publishing Group, 2002),
paper NLTuB5
•https://doi.org/10.1364/NLGW.2002.NLTuB5

The origin of motion of solitary waves near Hopf-bifurcations

D. Michaelis, U. Peschei, F. Lederer, D.V. Skraybin, and W J. Firth

Nonlinear Guided Waves and Their Applications 2002

Stresa Italy
1–4 September 2002
ISBN: 1-55752-723-7

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Dissipative Spatial Structures (NLTuB)

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D. Michaelis, U. Peschei, F. Lederer, D. V. Skraybin, and W. J. Firth, "The origin of motion of solitary waves near Hopf-bifurcations," in Nonlinear Guided Waves and Their Applications, A. Sawchuk, ed., Vol. 80 of OSA Trends in Optics and Photonics (Optica Publishing Group, 2002), paper NLTuB5.

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Abstract

We show that the coupling between oscillating eigenstates and the translational mode causes solitary waves to move steadily, oscillatory or with irregular jumps. Theoretical results are compared with numerical simulations for different dissipative systems.

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