Heteroclinic standing waves in defocussing DNLS equations -- Variational approach via energy minimization

Details Heteroclinic standing waves in defocussing DNLS equations -- Variational approach via energy minimization Heteroclinic standing waves in defocussing DNLS equations -- Variational approach via energy minimization

2010-02-08

arxiv.org/abs/1002.1591v1

Applicable Analysis, vol. 89, no. 10, pp. 1591-1602, 2010

Physics

Mathematical Physics

11 pages, several figures

Scientific paper

10.1080/00036811.2010.492504

We study heteroclinic standing waves (dark solitons) in discrete nonlinear
Schr\"{o}dinger equations with defocussing nonlinearity. Our main result is a
quite elementary existence proof for waves with monotone and odd profile, and
relies on minimizing an appropriately defined energy functional. We also study
the continuum limit and the numerical approximation of standing waves.

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