Bloch-wave homogenization on large time scales and dispersive effective wave equations T Dohnal, A Lamacz, B Schweizer Multiscale Modeling & Simulation 12 (2), 488-513, 2014 | 62 | 2014 |
pde2path 2.0: multi-parameter continuation and periodic domains T Dohnal, JDM Rademacher, H Uecker, D Wetzel Proceedings of the 8th European Nonlinear Dynamics Conference, ENOC 2014, 2014 | 49 | 2014 |
Ground states of a nonlinear curl-curl problem in cylindrically symmetric media T Bartsch, T Dohnal, M Plum, W Reichel Nonlinear Differential Equations and Applications NoDEA 23, 1-34, 2016 | 46 | 2016 |
Coupled mode equations and gap solitons for the 2D Gross–Pitaevskii equation with a non-separable periodic potential T Dohnal, H Uecker Physica D: Nonlinear Phenomena 238 (9-10), 860-879, 2009 | 41 | 2009 |
Coupled-mode equations and gap solitons in a two-dimensional nonlinear elliptic problem with a separable periodic potential T Dohnal, D Pelinovsky, G Schneider Journal of nonlinear science 19, 95-131, 2009 | 34 | 2009 |
Optical soliton bullets in (2+ 1) D nonlinear Bragg resonant periodic geometries T Dohnal, AB Aceves Studies in Applied Mathematics: Special issue: Nonlinear optics 115 (2), 209-232, 2005 | 32 | 2005 |
Dispersive homogenized models and coefficient formulas for waves in general periodic media T Dohnal, A Lamacz, B Schweizer Asymptotic Analysis 93 (1-2), 21-49, 2015 | 27 | 2015 |
Surface gap soliton ground states for the nonlinear Schrödinger equation T Dohnal, M Plum, W Reichel Communications in mathematical physics 308 (2), 511-542, 2011 | 22 | 2011 |
Perfectly matched layers for coupled nonlinear Schrödinger equations with mixed derivatives T Dohnal Journal of Computational Physics 228 (23), 8752-8765, 2009 | 22 | 2009 |
Bifurcation of nonlinear Bloch waves from the spectrum in the Gross–Pitaevskii equation T Dohnal, H Uecker Journal of Nonlinear Science 26, 581-618, 2016 | 20 | 2016 |
Diverging probability-density functions for flat-top solitary waves A Peleg, Y Chung, T Dohnal, QM Nguyen Physical Review E—Statistical, Nonlinear, and Soft Matter Physics 80 (2 …, 2009 | 18 | 2009 |
Localized modes of the linear periodic Schrödinger operator with a nonlocal perturbation T Dohnal, M Plum, W Reichel SIAM journal on mathematical analysis 41 (5), 1967-1993, 2009 | 18 | 2009 |
Families of surface gap solitons and their stability via the numerical Evans function method E Blank, T Dohnal SIAM Journal on Applied Dynamical Systems 10 (2), 667-706, 2011 | 17 | 2011 |
Surface gap solitons at a nonlinearity interface T Dohnal, D Pelinovsky SIAM Journal on Applied Dynamical Systems 7 (2), 249-264, 2008 | 17 | 2008 |
A Bloch wave numerical scheme for scattering problems in periodic wave-guides T Dohnal, B Schweizer SIAM Journal on Numerical Analysis 56 (3), 1848-1870, 2018 | 16 | 2018 |
Perfectly matched layers in photonics computations: 1D and 2D nonlinear coupled mode equations T Dohnal, T Hagstrom Journal of Computational Physics 223 (2), 690-710, 2007 | 14 | 2007 |
(3+ 1)-Dimensional cylindrical Korteweg-de Vries equation in a self-gravitating degenerate quantum plasma system A Mannan, T Dohnal Physics of Plasmas 27 (1), 2020 | 10 | 2020 |
Bifurcation of eigenvalues in nonlinear problems with antilinear symmetry T Dohnal, P Siegl Journal of Mathematical Physics 57 (9), 2016 | 9 | 2016 |
Spectrum of the Maxwell equations for a flat interface between homogeneous dispersive media M Brown, T Dohnal, M Plum, I Wood arXiv preprint arXiv:2206.02037, 2022 | 8 | 2022 |
Coupled mode equation modeling for out-of-plane gap solitons in 2D photonic crystals T Dohnal, W Dörfler Multiscale Modeling & Simulation 11 (1), 162-191, 2013 | 8 | 2013 |