We are interested in modeling various nonlinear phenomena, in quantum optics, atom optics - matter waves, quantum correlations (physics of Bose Einstein Condensates), photonics and nano-physics, non-hermitian systems (PT–symmetric, gain-loss systems including chaotic behavior), photonic crystals and liquid crystals, where we are recently mostly investigating structured light propagation. We investigate dynamics, bifurcations (spontaneous symmetry breaking) and search for soliton solutions. We closely cooperate (within NCN Harmonia Grant) with experimental groups of prof. Ryszard Buczyński (photonic crystal fibers) and prof. Mirosław Karpierz (liquid crystals) and many experimental groups abroad.