The reliable control of traveling waves emerging from the coupling of oscillations and diffusion in physical, chemical and biological systems is a long-standing challenge within the physics community.

> Figure 1: Initialized radially symmetric quantum state. The subplots show vector fields constructed from an initial state in [1,0,0] direction with purely X-, Y-, or Z- vector components.

Many physical phenomena – including heat transfer, fluid flow and electromagnetic wave propagation, to name just three – can be described using partial differential equations (PDEs). Apart from a few ...

Together with the equations that now bear his name ... The Lennard-Jones potential produces the nonlinear wave profile of a kink because its nonlinear repulsive force is huge for liquid atoms brought ...

In this paper, curved detonation equations with gradients for the pre-wave and post-wave are constructed followed by analysis, verification and applications. The study focuses on shock induced ...

The use of fractional differential equations to schematize the propagation of fake news results in incorporating a greater amount of memory information and better considering hereditary properties of ...

The script uses a Numerov method to solve the differential equation and displays the desired energy levels and a figure with an approximate wave function for each of these energy levels. DeepErwin is ...