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Optical and Quantum Electronics
Erschienen in: Optical and Quantum Electronics 11/2016

01.11.2016

Bright solitons for the coupled cubic-quintic non-linear Schrödinger equations

verfasst von: Xi-Yang Xie, Bo Tian, Ya Sun, Lei Liu, Yan Jiang

Erschienen in: Optical and Quantum Electronics | Ausgabe 11/2016

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Abstract

In this paper, we investigate the coupled cubic-quintic non-linear Schrödinger equations, which describe the effects of quintic non-linearity on the ultra-short optical-pulse propagation in the non-Kerr medium. Bi-linear forms, bright one- and two-soliton solutions are obtained with Hirota method and symbolic computation. Via the asymptotic analysis, we find that the bright two solitons keep their original amplitudes, widths and velocities invariant after each collision except for the phase shifts. By virtue of the graphical analysis, head-on and overtaking collisions between the bright two solitons are presented. Bound-state soliton can also be observed with the breather-like structures.
Vorheriger Artikel A novel manifold preserving edit propagation based on K nearest neighbors and locally linear embedding
Nächster Artikel Study of textured ZnS irradiated by femtosecond laser pulses

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Fußnoten
1
Common speed means that the speed of each soliton is the same Sun et al. (2014)
 
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Metadaten
Titel
Bright solitons for the coupled cubic-quintic non-linear Schrödinger equations
verfasst von
Xi-Yang Xie
Bo Tian
Ya Sun
Lei Liu
Yan Jiang
Publikationsdatum
01.11.2016
Verlag
Springer US
Erschienen in
Optical and Quantum Electronics / Ausgabe 11/2016
Print ISSN: 0306-8919
Elektronische ISSN: 1572-817X
DOI
https://doi.org/10.1007/s11082-016-0728-2

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