Nonlinear Sciences – Pattern Formation and Solitons
Scientific paper
2000-08-03
Nonlinear Sciences
Pattern Formation and Solitons
34 pages, 9 figures; to be published in: "Spatial Optical Solitons", Eds. W. Torruellas and S. Trillo (Springer, New York)
Scientific paper
We present a brief overview of the basic concepts of the soliton stability theory and discuss some characteristic examples of the instability-induced soliton dynamics, in application to spatial optical solitons described by the NLS-type nonlinear models and their generalizations. In particular, we demonstrate that the soliton internal modes are responsible for the appearance of the soliton instability, and outline an analytical approach based on a multi-scale asymptotic technique that allows to analyze the soliton dynamics near the marginal stability point. We also discuss some results of the rigorous linear stability analysis of fundamental solitary waves and nonlinear impurity modes. Finally, we demonstrate that multi-hump vector solitary waves may become stable in some nonlinear models, and discuss the examples of stable (1+1)-dimensional composite solitons and (2+1)-dimensional dipole-mode solitons in a model of two incoherently interacting optical beams.
Kivshar Yuri S.
Sukhorukov Andrey A.
No associations
LandOfFree
Stability of Spatial Optical Solitons 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 Stability of Spatial Optical Solitons, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Stability of Spatial Optical Solitons will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-560280