25 citations · 122 across the 23 of their papers we have counts for
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math.AP2017
NLS approximation for wavepackets in periodic cubically nonlinear wave problems in
Tomáš Dohnal, Daniel Rudolf
The dynamics of single carrier wavepackets in nonlinear wave problems over periodic structures can be often formally approximated by the constant coefficient nonlinear Schrödinger…
math.NA2017
A Bloch wave numerical scheme for scattering problems in periodic wave-guides
Tomáš Dohnal, Ben Schweizer
We present a new numerical scheme to solve the Helmholtz equation in a wave-guide. We consider a medium that is bounded in the -direction, unbounded in the -direction and…
math.DS2017
Bifurcation of nonlinear bound states in the periodic Gross-Pitaevskii equation with PT-symmetry
Tomas Dohnal, Dmitry E. Pelinovsky
The stationary Gross-Pitaevskii equation in one dimension is considered with a complex periodic potential satisfying the conditions of the PT (parity-time reversal) symmetry. Under…