Perfectly matched layers in photonics computations: 1D and 2D nonlinear coupled mode equations. - Tomás Dohnal; Thomas M. Hagstrom (J. Comput. Phys., 2007)

Surface Gap Solitons at a Nonlinearity Interface. - Tomás Dohnal; Dmitry Pelinovsky (SIAM J. Appl. Dyn. Syst., 2008)

Perfectly matched layers for coupled nonlinear Schrödinger equations with mixed derivatives. - Tomás Dohnal (J. Comput. Phys., 2009)

Coupled-Mode Equations and Gap Solitons in a Two-Dimensional Nonlinear Elliptic Problem with a Separable Periodic Potential. - Tomás Dohnal; Dmitry Pelinovsky; Guido Schneider (J. Nonlinear Sci., 2009)

Localized Modes of the Linear Periodic Schrödinger Operator with a Nonlocal Perturbation. - Tomás Dohnal; Michael Plum; Wolfgang Reichel (SIAM J. Math. Anal., 2009)

Families of Surface Gap Solitons and Their Stability via the Numerical Evans Function Method. - Elisabeth Blank; Tomás Dohnal (SIAM J. Appl. Dyn. Syst., 2011)

Coupled Mode Equation Modeling for Out-of-Plane Gap Solitons in 2D Photonic Crystals. - Tomás Dohnal; Willy Dörfler (Multiscale Model. Simul., 2013)

Bloch-Wave Homogenization on Large Time Scales and Dispersive Effective Wave Equations. - Tomás Dohnal; Agnes Lamacz; Ben Schweizer (Multiscale Model. Simul., 2014)

Traveling Solitary Waves in the Periodic Nonlinear Schrödinger Equation with Finite Band Potentials. - Tomás Dohnal (SIAM J. Appl. Math., 2014)

Dispersive homogenized models and coefficient formulas for waves in general periodic media. - Tomás Dohnal; Agnes Lamacz; Ben Schweizer (Asymptot. Anal., 2015)

Bifurcation of Nonlinear Bloch Waves from the Spectrum in the Gross-Pitaevskii Equation. - Tomás Dohnal; Hannes Uecker (J. Nonlinear Sci., 2016)

A Bloch Wave Numerical Scheme for Scattering Problems in Periodic Wave-Guides. - Tomás Dohnal; Ben Schweizer (SIAM J. Numer. Anal., 2018)

Rigorous Envelope Approximation for Interface Wave Packets in Maxwell's Equations with Two Dimensional Localization. - Tomás Dohnal; Roland Schnaubelt; Daniel P. Tietz (SIAM J. Math. Anal., 2023)