Let us consider the following problem. Imagine a homogeneous nonlinear medium in which only one type of wave with dispersion law co(k) may propagate. Let the nonlinearity of the medium be quadratic while the equation co(k~ + k~) = co(k0 + co(k2) (1) defines a nonzero manifold F whose codimension in kl, k2 space is unity. Equation (1) means that dispersion law co(k) allows decay processes. The n...

We study a system of nonlinear partial differential equations describing the unsteady motions incompressible chemically reacting non-Newtonian fluids. The under consideration consists generalized Navier–Stokes with power-law-type stress-strain relation, where power-law index depends on concentration chemical, coupled to convection-diffusion equation for concentration. This arises in rheology sy...

Small modular reactors (SMRs) are those nuclear fission reactors with electrical output powers of less than 300 MWe. Due to its inherent safety features, the modular high temperature gas-cooled reactor (MHTGR) has been seen as one of the best candidates for building SMR-based nuclear plants with high safety-level and economical competitive power. Power-level control is crucial in providing grid...

Real-world networks are generally claimed to be scale-free. This means that the degree distributions follow classical power-law, at least asymptotically. However, closer observation shows power-law distribution is often inadequate meet data characteristics due existence of an identifiable nonlinearity in entire log-log scale. The present paper proposes a new variant popular heavy-tailed Lomax w...

Optical reorientational nonlinearity in twisted nematic liquid crystalline planar waveguide is analyzed theoretically. It is shown that optical nonlinearity for guided modes in analyzed waveguides can be approximated by saturation nonlinearity. Predicted nonlinearity is large enough to observe e¤ects like spatial solitons formation with milliwatts of light power. PACS: 42.65.Wi, 42.70.Df

Nonlinearity estimation and spectral regrowth prediction are crucial to power amplifier linearization. The correlation techniques shown here can estimate amplifier nonlinearity and predict out-of-band power spectrum. Crosscorrelation is performed between the output envelope and a test sequence generated from the input signal and can be carried out in background during amplifier operations. The ...

In the present work we provide a characterization of ground states higher-dimensional quadratic-quartic model nonlinear Schr{\"o}dinger class with combination focusing biharmonic operator either an isotropic or anisotropic defocusing Laplacian (at linear level) and power-law nonlinearity. Examining principally prototypical example dimension $d=2$, find that instability arises beyond certain thr...

a digital look-up table adaptive predistortion technique using a six-port receiver for power amplifier linearization is presented. the system is designed in ka-band for a dvb-s2 satellite link. we use a six-port receiver at the linearizationloop in place of classic heterodyne receivers. the six-port receiver is implemented by the use of passive microwavecircuits and detector diodes. this approa...