Approximated profiles for discrete solitons in DNLS lattices

Details Approximated profiles for discrete solitons in DNLS lattices Approximated profiles for discrete solitons in DNLS lattices

2007-12-11

arxiv.org/abs/0712.1837v1

Nonlinear Sciences

Pattern Formation and Solitons

13 pages, 14 figures. Submitted to Procceedings of NEEDS'07 Conference

Scientific paper

We study four different approximations for finding the profile of discrete solitons in the one-dimensional Discrete Nonlinear Schr\"odinger (DNLS) Equation. Three of them are discrete approximations (namely, a variational approach, an approximation to homoclinic orbits and a Green-function approach), and the other one is a quasi-continuum approximation. All the results are compared with numerical computations.

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