Caltech scientists have found a fast and efficient way to add up large numbers of Feynman diagrams, the simple drawings ...

If you pull twice as hard on a spring, it stretches twice as far. However, when we introduce very large forces or complicated ...

The universe follows predictable rules, behaving classically according to Einstein’s theory of general relativity. So, what ...

Abstract In this paper, a fifth-order variable-coefficient nonlinear Schrödinger equation is investigated, which describes the propagation of the attosecond pulses in an optical fiber. Via the ...

We construct a physics-informed neural network to predict the higher-order soliton compression. Through embedding a partial differential equation into the neural network, the evolution of soliton in ...

One mechanism to generate optical rogue waves is the soliton fusion phenomenon. The impact of initial parameters such as pulse spacing, frequency separation, and phase difference between adjacent ...

The generalized nonlinear RKL dynamical equation, which presents description of the dynamical of light pulses, has been studied. We used two formulas of the modified simple equation method to ...

Python Implementation of Ordinary Differential Equations Solvers using Hybrid Physics-informed Neural Networks This repository is provided as a tutorial for the implementation of integration ...

Taylor Swift requested a restraining order against an alleged stalker who'd visited her home multiple times and changed his address to her house.

Employing advanced techniques such as the modified simplest equation method and the Kudryashov method, we derive a comprehensive family of exact soliton solutions including bright, dark, and mixed ...