Multi-peaked localized states of DNLS in one and two dimensions

Details Multi-peaked localized states of DNLS in one and two dimensions Multi-peaked localized states of DNLS in one and two dimensions

2005-12-13

arxiv.org/abs/nlin/0512028v1

Nonlinear Sciences

Pattern Formation and Solitons

34 pages, 12 figures

Scientific paper

10.1016/j.physd.2005.12.023

Multi-peaked localized stationary solutions of the discrete nonlinear Schrodinger (DNLS) equation are presented in one (1D) and two (2D) dimensions. These are excited states of the discrete spectrum and correspond to multi-breather solutions. A simple, very fast, and efficient numerical method, suggested by Aubry, has been used for their calculation. The method involves no diagonalization, but just iterations of a map, starting from trivial solutions of the anti-continuous limit. Approximate analytical expressions are presented and compared with the numerical results. The linear stability of the calculated stationary states is discussed and the structure of the linear stability spectrum is analytically obtained for relatively large values of nonlinearity.

Affiliated with

Also associated with

No associations

Rating

Multi-peaked localized states of DNLS in one and two dimensions 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 Multi-peaked localized states of DNLS in one and two dimensions, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Multi-peaked localized states of DNLS in one and two dimensions will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-36701