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Article Dans Une Revue Journal of Nonlinear Mathematical Physics Année : 2008

Approximation of solitons in the discrete NLS equation

Résumé

We study four different approximations for finding the profile of discrete solitons in the one- dimensional Discrete Nonlinear Schrödinger (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.

Dates et versions

hal-00390022 , version 1 (30-05-2009)

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Jesus Cuevas, Guillaume James, Panayotis G. Kevrekidis, Boris Malomed, Bernardo Sanchez-Rey. Approximation of solitons in the discrete NLS equation. Journal of Nonlinear Mathematical Physics, 2008, 15 (suppl. 3), pp.124-136. ⟨10.2991/jnmp.2008.15.s3.13⟩. ⟨hal-00390022⟩
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