General rogue waves and modulation instability of the generalized coupled nonlinear Schrödinger system in optical pulses.

We focus on rogue waves and modulation instability (MI) of the generalized coupled nonlinear Schrödinger (GCNLS) system in optical pulses. Through the Kadomtsev-Petviashvili hierarchy reduction method, general high-order rogue wave solutions in Gram determinant form at p=p0 are constructed, which contain derivative operators with respect to parameters p and q. We reduce solutions to purely algebraic expressions with the aid of the elementary Schur polynomials.

Spatial structure of the non-integrable discrete defocusing Hirota equation.

In this paper, we investigate the spatial property of the non-integrable discrete defocusing Hirota equation utilizing a planar nonlinear discrete dynamical map method. We construct the periodic orbit solutions of the stationary discrete defocusing Hirota equation. The behavior of the orbits in the vicinity of the special periodic solution is analyzed by taking advantage of the named residue.

Distributed Maximum Correntropy Filtering for Stochastic Nonlinear Systems Under Deception Attacks.

This article focuses on the distributed maximum correntropy filtering issue for general stochastic nonlinear systems subject to deception attacks. The considered nonlinear functions consist of a determined one and a stochastic one, and the stochastic signals sent by deception attacks with identified statistic characteristics could be non-Gaussian. The corresponding calculation formulas of both the filter gains and the upper bound of the filter error covariance are proposed by means of the Taylor series expansion and the fixed-point iterative update rule, where the weighted maximum correntropy criterion is utilized to take the place of traditional minimum covariance indexes.