25 citations · 122 across the 23 of their papers we have counts for
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nlin.PS2009
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…
nlin.PS2009★ 15 cited
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…
math.NA2009★ 18 cited
Perfectly Matched Layers for Coupled Nonlinear Schrödinger Equations with Mixed Derivatives
Tomáš Dohnal
This paper constructs perfectly matched layers (PML) for a system of 2D Coupled Nonlinear Schrödinger equations with mixed derivatives which arises in the modeling of gap solitons…