Bright discrete solitons in spatially modulated DNLS systems. (4th August 2015)

• Record Type: Journal Article
• Authors: Kevrekidis, P G; Horne, R L; Whitaker, N; Hoq, Q E; Kip, D
• Is Part Of: Journal of physics. Volume 48:Number 34(2015)
• Publication Date: 2015-08-04
• Subjects: bright solitons -- nonlinear dynamical lattices -- DNLS equation -- inhomogeneous nonlinearity; Mathematical physics -- Periodicals; Statistical physics -- Periodicals; Quantum theory -- Periodicals; Matter -- Properties -- Periodicals; 530.105
• DOI: 10.1088/1751-8113/48/34/345201
• Languages: English
• ISSNs: 1751-8113

Abstract

Abstract: In the present work, we revisit the highly active research area of inhomogeneously nonlinear defocusing media and consider the existence, spectral stability and nonlinear dynamics of bright solitary waves in them. We use the anti-continuum limit of vanishing coupling as the starting point of our analysis, enabling in this way a systematic characterization of the branches of solutions. Our stability findings and bifurcation characteristics reveal the enhanced robustness and wider existence intervals of solutions with a broader support, culminating in the 'extended' solution in which all sites are excited. Our eigenvalue predictions are corroborated by numerical linear stability analysis. Finally, the dynamics also reveal a tendency of the solution profiles to broaden, in line with the above findings. These results pave the way for further explorations of such states in discrete systems, including in higher dimensional settings.