We report on the observation of surface gap solitons found to exist at the interface between uniform and periodic dielectric media with defocusing nonlinearity. We demonstrate strong self-trapping at the edge of a LiNbO3 waveguide array and the formation of staggered surface solitons with propagation constant inside the first photonic band gap. We study the crossover between linear repulsion an...

The dynamic range of broadband digital system is mostly limited by harmonics and spurious arising from ADC nonlinearity. The nonlinearity may be described in several ways. The distinction between static and dynamic contributions has strong theoretical motivations but it is difficult to independently measure these contributions. A more practical approach is based upon analysis of the complex spe...

In the present short communication, we revisit nonlinearity management of the timeperiodic nonlinear Schrödinger equation and the related averaging procedure. By means of rigorous estimates, we show that the averaged nonlinear Schrödinger equation does not blow up in the higher dimensional case so long as the corresponding solution remains smooth. In particular, we show that the H norm remains ...

Linear Feedback Shift Registers (LFSRs) are the main building block of many classical stream ciphers; however due to their inherent linearity, most of the LFSR-based designs do not offer the desired security levels. In the last decade, using Nonlinear Feedback Shift Registers (NFSRs) in stream ciphers became very popular. However, the theory of NFSRs is not well-understood, and there is no effi...

This paper studies a variety of world financial market indices to determine how widespread the phenomenon of nonlinear serial dependency is, and then, by studying a relatively financially isolated market, the Taiwan Stock Exchange of the 1980s, examines more closely the extent to which nonlinearity appears to be an inherent feature of financial trading behavior. Nonlinearity is found to be a cr...

this paper is concerned with the study of the existence of positive solutions for a navier boundaryvalue problem involving the p-biharmonic operator; the right hand side of problem is a nonsmoothfunctional with variable parameters. the existence of at least three positive solutions is establishedby using nonsmooth version of a three critical points theorem for discontinuous functions. our resul...

We study the dynamics of localized pulses in complex cubic–quintic Ginzburg–Landau (GL) equation with strong nonlinearity management. The generalized GL equation, averaged over rapid modulations nonlinearity, is derived. employ variational approach to this derive a dynamical system for dissipative soliton parameters. By using numerical simulations and full GP we show that nonlinearity-managed s...