The effect of dispersion or diffraction on zero-velocity solitons is studied for the generalized massive Thirring model describing a nonlinear optical fiber with grating or parallel-coupled planar waveguides with misaligned axes. The Thirring solitons existing at zero dispersion/diffraction are shown numerically to be separated by a finite gap from three isolated soliton branches. Inside the ga...

A completely analytical approach to analysis of energy-scalable ultrashort-pulse oscillators operating in both normal- and anomalous-dispersion regimes is developed. The theory, based on the approximated solutions of the generalized complex nonlinear Ginzburg-Landau equation allows the problem to be reduced to a purely algebraic model, so that the oscillator characteristics are easy to trace an...

For the Gamma family generalized linear models, the dispersion parameter is contained in the variance of the model parameter estimator. So it will affect the results of statistical inference or any kinds of tests that refer to variance. This paper reviewed several existing estimators of dispersion parameter via the Monte Carlo experiments to see which one is to be preferred when the sample size...

We propose a class of double hierarchical generalized linear models in which random effects can be specified for both the mean and dispersion. Heteroscedasticity between clusters can be modelled by introducing random effects in the dispersion model, as is heterogeneity between clusters in the mean model.This class will, among other things, enable models with heavy-tailed distributions to be exp...

The structure of liquid water has been addressed by ab initio molecular dynamics simulations based on density functional theory. Exchange-correlation effects have been described by the popular PBE and RPBE functionals within the generalized gradient approximation as these functionals also yield satisfactory results for metals which is important to model electrochemical interfaces from first pri...

We examine surface modes at the nematic-isotropic interface in polymer-liquid-crystal mixtures using the dynamical Landau-de Gennes model for the orientational (non-conserved) order parameter coupled with Cahn-Hilliard equation for concentration (conserved order parameter) and with hydrodynamic degrees of freedom. The generalized dispersion relation is obtained and analyzed in particular cases....

The global sensitivity analysis, used to quantify the influence of uncertain input parameters on the response variability of a numerical model, is applicable to deterministic computer code (for which the same set of input parameters gives always the same output value). This paper proposes a new global sensitivity analysis method for stochastic computer code (having a variability induced by some...

The numerical study of electromagnetic wave propagation in nanophotonic devices requires among others the integration of various types of dispersion models, such as the Drude one, in numerical methodologies. Appropriate approaches have been extensively developed in the context of the Finite Differences Time-Domain (FDTD) method, such as in [1] for example. For the discontinuous Galerkin time-do...

background & aim: in the survival data with long-term survivors the event has not occurred for all the patients despite long-term follow-up, so the survival time for a certain percent is censored at the  end  of the  study.  mixture  cure  model  was  introduced  by boag,  1949  for  reaching  a  more efficient analysis of this set of data. because of some disadvantages of this model non-mixtur...

The shell model of atomic polarizability is generalized to include a statistical distribution of shell states for each instantaneous configuration of the cores. Effective Hamiltonians for motions of the cores are derived for both quantum and classical descriptions of the shells. This extends the shell model into a formalism useful for molecular -dynamics. The fluctuations of the shell positions...