Heteroclinic standing waves in defocusing DNLS equations: variational approach via energy minimization
Heteroclinic standing waves in defocusing DNLS equations: variational approach via energy minimization
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 …