%0 Journal Article
%T Quasiperiodic oscillations and homoclinic orbits in the nonlinear nonlocal Schr£żdinger equation
%A F. Maucher
%A E. Siminos
%A W. Krolikowski
%A S. Skupin
%J Physics
%D 2013
%I arXiv
%R 10.1088/1367-2630/15/8/083055
%X Quasiperiodic oscillations and shape-transformations 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 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.
%U http://arxiv.org/abs/1303.3213v1