This paper studies coupled nonlinear Schrödinger's equation (NLSE) that appears in a
cascaded system. Both Kerr law and power law nonlinearities are considered. Bright and …

This paper is devoted in the study of the resonant nonlinear Schrödinger equation with
competing weakly nonlocal nonlinearity and fractional temporal evolution which describes …

Electrically driven nematic liquid crystals layers are ideal contexts for studying the
interactions of local topological defects, umbilical defects. In homogeneous samples the …

Dynamical behavior of the optical traveling pulses for the resonant nonlinear Schrödinger
(RNS) equation with external periodic force is studied. Using a complex transformation we …

Parametrically excited solitary waves emerge as localized structures in high-aspect-ratio
free surfaces subject to vertical vibrations. Herein, we provide the first experimental …

We present an experimental study of a new kind of dual drop-wave entity existing on a
localized structure in a water Faraday-wave system. A nonpropagating hydrodynamic soliton …

The known stationary solutions of the parametrically driven and damped nonlinear
Schrödinger equation (PDDNLS) have been used to calculate the interaction potential and …

We have identified a physical mechanism that rules the confinement of nonpropagating
hydrodynamic solitons. We show that thin boundary layers arising on walls are responsible …

In this article, we retrieve optical soliton solutions of the perturbed time fractional resonant
nonlinear Schrödinger equation having competing weakly nonlocal and full nonlinearity. We …

By the effect of aggregating currents, some systems display an effective diffusion coefficient
that becomes negative in a range of the order parameter, giving rise to bistability among …