Dynamical modeling of neural systems and brain functions has a history of success over the
last half century. This includes, for example, the explanation and prediction of some features …

The present review summarizes experimental and theoretical work dealing with self-
organized solitary localized structures (LSs) that are observed in spatially extended …

We show that nonlinear problems including nonlinear partial differential equations can be
efficiently solved by variational quantum computing. We achieve this by utilizing multiple …

Machine learning has become a widely popular and successful paradigm, especially in data-
driven science and engineering. A major application problem is data-driven forecasting of …

Nonlinear dynamical systems have been used in many disciplines to model complex
behaviors, including biological motor control, robotics, perception, economics, traffic …

The weakly nonlinear wave propagation that occurs in the presence of magnetic fields, in
which energy is concentrated in a narrow band of wave-numbers in a dispersive and …

This paper studies the new families of exact traveling wave solutions with the modified
nonlinear Schrödinger equation, which models the propagation of rogue waves in ocean …

In this paper, we investigate the optical solitons of the fractional complex Ginzburg–Landau
equation (CGLE) with Kerr law nonlinearity which shows various phenomena in physics like …

The main goal of the current work is to study dynamical behavior and dispersive optical
solitons for the fractional Ginzburg–Landau equation in optical fibers. Starting with the …

In this study, we regard the dual-mode nonlinear Schrödinger equation (DMNLSE). The
DMNLSE depicts the propagations of two-moving waves synchronically. The extended …