Forbes contributors publish independent expert analyses and insights. Caroline Castrillon covers career, entrepreneurship and women at work. Non-linear careers represent a fundamental shift in how we ...

Abstract: Nonlinear media are the building blocks for nonlinear optical devices. The parameter retrieval of nonlinear media is an important problem for nonlinear optics. However, the maturity and ...

ABSTRACT: In previous papers, we proposed the important Z transformations and obtained general solutions to a large number of linear and quasi-linear partial differential equations for the first time.

Forbes contributors publish independent expert analyses and insights. Steve Andriole writes about all things digital - and especially AI. “Linear thinking is a systematic and analytical thought ...

This paper addresses the limitations of current neural ordinary differential equations (NODEs) in modeling and predicting complex dynamics by introducing a novel framework called ...

Abstract: The Duffing’s equation is a non-linear second-order ordinary differential equation, describing processes with different physical nature. It analyses the status of deterministic dynamical ...

The fractional-order nonlinear Gardner and Cahn–Hilliard equations are often used to model ultra-short burst beams of light, complex fields of optics, photonic transmission systems, ions, and other ...

Tristan Jurkovich began his career as a journalist in 2011. His childhood love of video games and writing fuel his passion for archiving this great medium’s history. He dabbles in every genre, but ...

Phenomena such as mechanical vibrations, resonance and oscillations can be mathematically described by second-order differential equation systems, commonly referred to as second-order systems. Working ...