Nonlinear Schrödinger lattices I: Stability of discrete solitons

Details Nonlinear Schrödinger lattices I: Stability of discrete solitons Nonlinear Schrödinger lattices I: Stability of discrete solitons

2004-10-07

arxiv.org/abs/nlin/0410005v2

Nonlinear Sciences

Pattern Formation and Solitons

21 pages, 10 figures

Scientific paper

We consider the discrete solitons bifurcating from the anti-continuum limit of the discrete nonlinear Schr\"{o}dinger (NLS) lattice. The discrete soliton in the anti-continuum limit represents an arbitrary finite superposition of {\em in-phase} or {\em anti-phase} excited nodes, separated by an arbitrary sequence of empty nodes. By using stability analysis, we prove that the discrete solitons are all unstable near the anti-continuum limit, except for the solitons, which consist of alternating anti-phase excited nodes. We classify analytically and confirm numerically the number of unstable eigenvalues associated with each family of the discrete solitons.

Affiliated with

Also associated with

No associations

Rating

Nonlinear Schrödinger lattices I: Stability of discrete 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 Nonlinear Schrödinger lattices I: Stability of discrete solitons, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Nonlinear Schrödinger lattices I: Stability of discrete solitons will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-216453