Nonlinear Sciences – Pattern Formation and Solitons
Scientific paper
2006-05-16
Nonlinear Sciences
Pattern Formation and Solitons
8 pages, 6 figures
Scientific paper
We consider the localized modes (bright solitons) described by one-dimensional quintic nonlinear Schrodinger equation with a periodic potential. In the case of attractive nonlinearity we deduce sufficient conditions for collapse. We show that there exist spatially localized modes with arbitrarily large number of particles. We study such solutions in the semi-infinite gap (attractive case) and in the first gap (attractive and repulsive cases), and show that a nonzero minimum value of the number of particles is necessary for a localized mode to be created. In the limit of large negative frequencies (attractive case) we observe "quantization" of the number of particles of the stationary modes. Such solutions can be interpreted as coupled "Townes" solitons and appear to be stable. The modes in the first gap have numbers of particles infinitely growing with frequencies approaching one of the gap edges, which is explained by the power decay of the modes. Stability of the localized modes is discussed.
Alfimov Georgy L.
Konotop Vladimir V.
Pacciani P.
No associations
LandOfFree
Stationary localized modes in the quintic nonlinear Schrodinger equation with a periodic potential 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 Stationary localized modes in the quintic nonlinear Schrodinger equation with a periodic potential, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Stationary localized modes in the quintic nonlinear Schrodinger equation with a periodic potential will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-276121