Research interests
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Modelling of multisection semiconductor lasers. Extensions and
reductions of standard Traveling Wave model, consisting
of hyperbolic type 1D PDE system nonlinearly coupled with few ODEs.
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Further development of software
LDSL-tool
in order
to make automatic reduction of PDE model
and to performe bifurcation analysis of these reduced models.
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Further developing of software LDSL-tool
for simulation and analysis of dynamics
in different multisection lasers. Implementation of tools allowing to make
semi-analytical stability analysis of stationary states of
corresponding PDE system.
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Numerical bifurcation analysis of locking
in periodically forced PDE systems
and corresponding reduced models.
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Analysis and identification of different bifurcations in experiments.
Suggestion and prediction of required dynamics in real lasers.
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Investigation of
stability and convergence properties of different
numerical schemes for nonlinear Schrödinger and other evolutionary
equations.