Quasiperiodic oscillations and homoclinic orbits in the nonlinear nonlocal Schrödinger equation

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

*Corresponding author for this work

    Research output: Contribution to journalArticlepeer-review

    19 Citations (Scopus)

    Abstract

    Quasiperiodic oscillations and shape-transformations of higher-order bright solitons in nonlinear nonlocal media have been frequently observed numerically in recent years, however, the origin of these phenomena was never completely elucidated. In this paper, we perform a linear stability analysis of these higher-order solitons by solving the Bogoliubov-de Gennes equations. 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 languageEnglish
    Article number083055
    JournalNew Journal of Physics
    Volume15
    DOIs
    Publication statusPublished - Aug 2013

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