Nonlinearity and disorder: Classification and stability of nonlinear impurity modes

Details Nonlinearity and disorder: Classification and stability of nonlinear impurity modes Nonlinearity and disorder: Classification and stability of nonlinear impurity modes

2000-09-03

arxiv.org/abs/nlin/0009005v1

Phys. Rev. E 63, 036601(1-18) (2001)

Nonlinear Sciences

Pattern Formation and Solitons

18 pages, 22 figures

Scientific paper

10.1103/PhysRevE.63.036601

We study the effects produced by competition of two physical mechanisms of energy localization in inhomogeneous nonlinear systems. As an example, we analyze spatially localized modes supported by a nonlinear impurity in the generalized nonlinear Schr\"odinger equation and describe three types of nonlinear impurity modes --- one- and two-hump symmetric localized modes and asymmetric localized modes --- for both focusing and defocusing nonlinearity and two different (attractive or repulsive) types of impurity. We obtain an analytical stability criterion for the nonlinear localized modes and consider the case of a power-law nonlinearity in detail. We discuss several scenarios of the instability-induced dynamics of the nonlinear impurity modes, including the mode decay or switching to a new stable state, and collapse at the impurity site.

Affiliated with

Also associated with

No associations

Rating

Nonlinearity and disorder: Classification and stability of nonlinear impurity modes 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 Nonlinearity and disorder: Classification and stability of nonlinear impurity modes, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Nonlinearity and disorder: Classification and stability of nonlinear impurity modes will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-557549