Solitary Waves Under the Competition of Linear and Nonlinear Periodic Potentials

Details Solitary Waves Under the Competition of Linear and Nonlinear Periodic Potentials Solitary Waves Under the Competition of Linear and Nonlinear Periodic Potentials

2007-07-08

arxiv.org/abs/0707.1162v1

Nonlinear Sciences

Pattern Formation and Solitons

13 pages, 4 figures

Scientific paper

10.1088/1751-8113/40/47/008

In this paper, we study the competition of linear and nonlinear lattices and its effects on the stability and dynamics of bright solitary waves. We consider both lattices in a perturbative framework, whereby the technique of Hamiltonian perturbation theory can be used to obtain information about the existence of solutions, and the same approach, as well as eigenvalue count considerations, can be used to obtained detailed conditions about their linear stability. We find that the analytical results are in very good agreement with our numerical findings and can also be used to predict features of the dynamical evolution of such solutions.

Affiliated with

Also associated with

No associations

Rating

Solitary Waves Under the Competition of Linear and Nonlinear Periodic Potentials 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 Solitary Waves Under the Competition of Linear and Nonlinear Periodic Potentials, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Solitary Waves Under the Competition of Linear and Nonlinear Periodic Potentials will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-158690