25 citations · 122 across the 23 of their papers we have counts for
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Traveling Solitary Waves in the Periodic Nonlinear Schrödinger Equation with Finite Band Potentials
Tomas Dohnal
The paper studies asymptotics of moving gap solitons in nonlinear periodic structures of finite contrast ("deep grating") within the one dimensional periodic nonlinear Schrödinger…
Coupled Mode Equation Modeling for Out-of-Plane Gap Solitons in 2D Photonic Crystals
Tomas Dohnal, Willy Doerfler
Out-of-plane gap solitons in 2D photonic crystals are optical beams localized in the plane of periodicity of the medium and delocalized in the orthogonal direction, in which they p…
Vortex families near a spectral edge in the Gross-Pitaevskii equation with a two-dimensional periodic potential
Tomas Dohnal, Dmitry Pelinovsky
We examine numerically vortex families near band edges of the Bloch wave spectrum in the Gross--Pitaevskii equation with a two-dimensional periodic potential and in the discrete no…
Families of Surface Gap Solitons and their Stability via the Numerical Evans Function Method
Elizabeth Blank, Tomáš Dohnal
The nonlinear Schrödinger equation with a linear periodic potential and a nonlinearity coefficient with a discontinuity supports stationary localized solitary waves with freque…
Diverging probability density functions for flat-top solitary waves
Avner Peleg, Yeojin Chung, Tomáš Dohnal +1
We investigate the statistics of flat-top solitary wave parameters in the presence of weak multiplicative dissipative disorder. We consider first propagation of solitary waves of t…
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…