Quasi-Periodic shape-transformations of nonlocal higher-order solitons

F. Maucher; E. Siminos; W. Krolikowski; S. Skupin

doi:10.1109/NLP.2013.6646371

Quasi-Periodic shape-transformations of nonlocal higher-order solitons

F. Maucher, E. Siminos, W. Krolikowski, S. Skupin

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › peer-review

Abstract

Quasiperiodic oscillations and transverse shapetransformations of higher-order bright solitons in nonlinear nonlocal media have been frequently observed in recent years, however, the origin of these phenomena was never completely elucidated. In this work, we perform a linear stability analysis of these higher-order solitons by solving the Bogoliubov-de Gennes equations numerically. This enables us to understand the emergence of a new oscillatory state as a growing unstable mode of a higher-order soliton. Using dynamically important states as a basis, we provide low-dimensional visualizations of the dynamics and identify quasiperiodic and homoclinic orbits, linking the latter to shape-transformations.

Original language	English
Title of host publication	Workshop Proceedings - 2nd International Workshop "Nonlinear Photonics", NLP 2013
Publisher	IEEE Computer Society
Pages	4-6
Number of pages	3
ISBN (Print)	9781479911189
DOIs	https://doi.org/10.1109/NLP.2013.6646371
Publication status	Published - 2013
Event	2013 IEEE 2nd International Workshop on Nonlinear Photonics, NLP 2013 - Sudak, Ukraine Duration: 10 Sept 2013 → 11 Sept 2013

Publication series

Name	Workshop Proceedings - 2nd International Workshop "Nonlinear Photonics", NLP 2013

Conference

Conference	2013 IEEE 2nd International Workshop on Nonlinear Photonics, NLP 2013
Country/Territory	Ukraine
City	Sudak
Period	10/09/13 → 11/09/13

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10.1109/NLP.2013.6646371

Cite this

Maucher, F., Siminos, E., Krolikowski, W., & Skupin, S. (2013). Quasi-Periodic shape-transformations of nonlocal higher-order solitons. In Workshop Proceedings - 2nd International Workshop "Nonlinear Photonics", NLP 2013 (pp. 4-6). Article 6646371 (Workshop Proceedings - 2nd International Workshop "Nonlinear Photonics", NLP 2013). IEEE Computer Society. https://doi.org/10.1109/NLP.2013.6646371

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abstract = "Quasiperiodic oscillations and transverse shapetransformations of higher-order bright solitons in nonlinear nonlocal media have been frequently observed in recent years, however, the origin of these phenomena was never completely elucidated. In this work, we perform a linear stability analysis of these higher-order solitons by solving the Bogoliubov-de Gennes equations numerically. This enables us to understand the emergence of a new oscillatory state as a growing unstable mode of a higher-order soliton. Using dynamically important states as a basis, we provide low-dimensional visualizations of the dynamics and identify quasiperiodic and homoclinic orbits, linking the latter to shape-transformations.",

author = "F. Maucher and E. Siminos and W. Krolikowski and S. Skupin",

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Maucher, F, Siminos, E, Krolikowski, W & Skupin, S 2013, Quasi-Periodic shape-transformations of nonlocal higher-order solitons. in Workshop Proceedings - 2nd International Workshop "Nonlinear Photonics", NLP 2013., 6646371, Workshop Proceedings - 2nd International Workshop "Nonlinear Photonics", NLP 2013, IEEE Computer Society, pp. 4-6, 2013 IEEE 2nd International Workshop on Nonlinear Photonics, NLP 2013, Sudak, Ukraine, 10/09/13. https://doi.org/10.1109/NLP.2013.6646371

Quasi-Periodic shape-transformations of nonlocal higher-order solitons. / Maucher, F.; Siminos, E.; Krolikowski, W. et al.
Workshop Proceedings - 2nd International Workshop "Nonlinear Photonics", NLP 2013. IEEE Computer Society, 2013. p. 4-6 6646371 (Workshop Proceedings - 2nd International Workshop "Nonlinear Photonics", NLP 2013).

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › peer-review

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AB - Quasiperiodic oscillations and transverse shapetransformations of higher-order bright solitons in nonlinear nonlocal media have been frequently observed in recent years, however, the origin of these phenomena was never completely elucidated. In this work, we perform a linear stability analysis of these higher-order solitons by solving the Bogoliubov-de Gennes equations numerically. This enables us to understand the emergence of a new oscillatory state as a growing unstable mode of a higher-order soliton. Using dynamically important states as a basis, we provide low-dimensional visualizations of the dynamics and identify quasiperiodic and homoclinic orbits, linking the latter to shape-transformations.

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Quasi-Periodic shape-transformations of nonlocal higher-order solitons

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