Nonlinear Sciences – Pattern Formation and Solitons
Scientific paper
2012-02-14
Nonlinear Sciences
Pattern Formation and Solitons
Scientific paper
In the present work, we generalize earlier considerations for intrinsic localized modes consisting of a few excited sites, as developed in the one-component discrete nonlinear Schrodinger equation model, to the case of two-component systems. We consider all the different combinations of "up" (zero phase) and "down" ({\pi} phase) site excitations and are able to compute not only the corresponding existence curves, but also the eigenvalue dependences of the small eigenvalues potentially responsible for instabilities, as a function of the nonlinear parameters of the model representing the self/cross phase modulation in optics and the scattering length ratios in the case of matter waves in optical lattices. We corroborate these analytical predictions by means of direct numerical computations. We infer that all the modes which bear two adjacent nodes with the same phase are unstable in the two component case and the only solutions that may be linear stable are ones where each set of adjacent nodes, in each component is out of phase.
Kevrekidis Panagiotis G.
Li Kaccie
Rothos Vassilios
Susanto Hadi
No associations
LandOfFree
Intrinsic localized modes in coupled DNLS equations from the anti-continuum limit does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.
If you have personal experience with Intrinsic localized modes in coupled DNLS equations from the anti-continuum limit, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Intrinsic localized modes in coupled DNLS equations from the anti-continuum limit will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-88490