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.
Further development of software
LDSL-tool in order
to make automatic reduction of PDE model
and to performe bifurcation analysis of these reduced models.
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.
Numerical bifurcation analysis of locking
in periodically forced PDE systems
and corresponding reduced models.
Analysis and identification of different bifurcations in experiments.
Suggestion and prediction of required dynamics in real lasers.
stability and convergence properties of different
numerical schemes for nonlinear Schrödinger and other evolutionary