We review our recent experimental results on control of the modulational instability, pattern formation, and solitons in a nonlinear discrete dissipative feedback system. We show that the discreetness and bandgap effects can provide efficient control of the nonlinear instability modes of the system. Furthermore, we explore the possibilities for excitation of dissipative discrete solitons in suc...

It is well-known that third-order dispersion (TOD) plays no role in the onset of modulation instability nonlinear Schrödinger (NLS) family systems. Here we demonstrate characteristics modulational can be dramatically altered by TOD two different systems, namely Wannier exciton mass a ZnCdSe/ZnSe semiconductor superlattice and pulse/beam propagation Kerr-like waveguide under non-slowly varying e...

we consider a new type of integrable coupled nonlinear schrodinger (cnls)equations proposed by our self [submitted to phys. plasmas (2011)]. the explicitform of soliton solutions are derived using the hirota's bilinear method.we show that the parameters in the cnls equations only determine the regionsfor the existence of bright and dark soliton solutions. finally, throughthe linear stabili...

We show that manipulation and selection of optical patterns is possible by detuning the frequency of one of the two waves in counterpropagating photorefractive two-wave mixing with a feedback mirror. An analytical expression for the onset of modulational instability is derived for the general case of an arbitrary complex coupling constant, including a possible frequency shift of the generated s...

The role of internal and continuum modes in the modulational instability of spatial quadratic solitons is examined by asymptotic and numerical analyses. It is shown that these modes generate novel spatially symmetric and asymmetric modulation instability branches, which underline soliton dynamics throughout a wide region of the wave-vector mismatch.

The generation of large-scale zonal flows by small-scale electrostatic drift waves in electron temperature gradient(ETG) driven turbulence model is considered. The generation mechanism is based on the modulational instability of a finite amplitude monochromatic drift wave. The threshold and growth rate of the instability as well as the optimal spatial scale of zonal flow are obtained.