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 …

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

A correction has been published: Erratum:“On explaining the surprising success of reservoir
computing forecaster of chaos? The universal machine learning dynamical system with …

In light of fractional theory, this paper presents several new effective solitonic formulations
for the Langmuir and ion sound wave equations. Prior to this study, no previous research …

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

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 …

Ultrafast lasers are becoming increasingly widespread in science and industry alike. Fiber-
based ultrafast laser sources are especially attractive because of their compactness …

Nonlinear waves on periodic backgrounds play an important role in physical systems. In this
study, nonlinear waves that include solitons, breathers, rogue waves, and semi‐rational …