25 citations · 40 across the 3 of their papers we have counts for
3 papers
math.SP2008★ 1 cited
Localized Modes of the Linear Periodic Schrödinger Operator with a Nonlocal Perturbation
Tomáš Dohnal, Michael Plum, Wolfgang Reichel
We consider the existence of localized modes corresponding to eigenvalues of the periodic Schrödinger operator with an interface. The interface is modeled by…
math.AP2007★ 25 cited
Coupled-mode equations and gap solitons in a two-dimensional nonlinear elliptic problem with a separable periodic potential
Tomas Dohnal, Dmitry Pelinovsky, Guido Schneider
We address a two-dimensional nonlinear elliptic problem with a finite-amplitude periodic potential. For a class of separable symmetric potentials, we study the bifurcation of the f…
nlin.PS2007★ 14 cited
Surface gap solitons at a nonlinearity interface
Tomas Dohnal, Dmitry Pelinovsky
We demonstrate existence of waves localized at the interface of two nonlinear periodic media with different coefficients of the cubic nonlinearity via the one-dimensional Gross--Pi…