According to the change in the amplitude of the oscillation, it can be divided into equal-
amplitude oscillation, amplitude-reduced oscillation (attenuating oscillation) and amplitude …

We study the propagation properties of nonlinear periodic waves in an optical fiber medium
exhibiting Kerr dispersion and quintic nonlinearity. The quintic derivative nonlinear …

We consider ultrashort light pulse propagation through an inhomogeneous monomodal
optical fiber exhibiting higher-order dispersive effects. Wave propagation is governed by a …

The presence of inhomogeneities in an optical nonlinear material may significantly change
the physical features of propagating envelopes. In this paper, we discuss the propagation of …

We investigate the existence and stability properties of nonlinearly chirped solitary waves on
a continuous-wave background in nonlinear metamaterials with higher-order effects such as …

We study self-similar dynamics of picosecond light pulses generating in optical fiber
amplifiers and fiber lasers with distributed parameters. A rich variety of periodic and solitary …

We investigate a generalized nonlinear Schrödinger equation with higher-order effects such
as pseudo-quintic nonlinearity and self-steepening effect. The model applies to the …

In our research, we have examined the existence and stability of chirped periodic and
solitary waves in a weakly nonlocal nonlinear medium, which exhibits various types of …

We present exact bright, dark and rogue soliton solutions of generalized higher-order
nonlinear Schrödinger equation, describing the ultrashort beam propagation in tapered …

With the aid of the hidden symmetry reduction method, we derive two types of novel bright
similariton solutions and one type of novel kink similariton solution for the cubic-quintic …