This work deals with the focusing Nonlinear Schrödinger Equation in one dimension with pure-power nonlinearity near cubic. We consider the spectrum of the linearized operator about the soliton solution. When the nonlinearity is exactly cubic, the linearized operator has resonances at the edges of the essential spectrum. We establish the degenerate bifurcation of these resonances to eigenvalues ...

We consider the question of existence of periodic solutions (called breather solutions or discrete solitons) for the Discrete Nonlinear Schrödinger Equation with saturable and power nonlinearity. Theoretical and numerical results are proved concerning the existence and nonexistence of periodic solutions by a variational approach and a fixed point argument. In the variational approach we are res...

We numerically investigate that an adaptive control law achieves internal model principle control in the presence of plant input nonlinearities. We focus on retrospective cost adaptive control (RCAC) applied to Hammerstein systems with unknown input nonlinearity and limited modeling of the linear dynamics. The goal is to determine whether the control law achieves the correct gain and phase shif...

We demonstrate a high-power, picosecond, thulium-doped, all-fiber master oscillator power amplifier with average power of 120.4 W. The compact fiber oscillator is carefully designed with high repetition rate for the purpose of overcoming the detrimental effects of fiber nonlinearity in the later fiber amplifiers. The pulse duration of 16 ps at 333.75 MHz repetition rate results in a peak power ...

Harmonic distortion (HD) is a simple approach to analyze lung tissue nonlinear phenomena. This study aimed to characterize frequency-dependent behavior of HD at several amplitudes in lung tissue strips from healthy rats and its influence on the parameters of linear analysis. Lung strips (n = 17) were subjected to sinusoidal deformation at three different strain amplitudes (Δε) and fixed operati...

Clusters are dominating high-performance computing (HPC) today. The success of this architecture is based on the fact that it profits from the improvements provided by main-stream computing well known under the label of Moore’s Law. But trying to get to Exascale within this decade might require additional endeavors beyond surfing this technology wave. In order to find a possible direction we re...

in this paper, a hybrid solid oxide fuel cell (sofc) and micro gas turbine (mgt) power system is parametrically studied to evaluate the effect of different operating conditions. the sofc/mgt power system includes sofc reactor, combustion chamber, compressor and turbine units, and two heat exchangers. the effects of fuel utilization, temperature, and pressure are assessed on performance of the h...

capital asset pricing model (capm) has been among the common models to estimate expected returns rate. since the linearity assumption is considered in the standard version of the capital asset pricing model, estimating beta in nonlinear setting will be inconsistent and bias-oriented. therefore, this study tries to evaluate predictive power of nonlinear capital asset pricing model as well as sta...

The influence of different ADC nonlinearities on the measurement of ADC intermodulation products is discussed. It is shown that the amplitudes of harmonics and intermodulation products can be predicted only if the low order nonlinearity of the transfer curve is dominant and if a sufficient level of input noise or dither is used. 1 INTRODUCTION The ADC nonlinearities produce persistent sine wave...