The early 20 th century saw the advent of quantum mechanics to describe the properties of small particles, such as electrons or atoms. Schrödinger's equation in quantum mechanics can successfully ...

This study investigates a newly developed (3 + 1)-dimensional Wazwaz-Kaur-Boussinesq equation, a significant advancement in fluid dynamics, nonlinear wave phenomena, and mathematical physics, due to ...

The purpose of this work is to explore precise solutions, particularly soliton solutions, by fractionally analyzing the multicomponent Gross–Pitaevskii problem, a basic nonlinear Schrödinger equation.

A collaborative research team co-led by Professor Shuang Zhang, the Interim Head of the Department of Physics, The University of Hong Kong (HKU), along with Professor Qing DAI from National Center for ...

This image is a simulation of a kind of acoustic wave called a Rayleigh-Bloch wave. The stripes of light and dark areas represent the “peaks" and “troughs" of the waves and are shaped by their ...

BUFFALO, N.Y. — Last year, onlookers observed a startling site on China’s Qiantang River: waves forming a grid-like pattern. Dubbed the “matrix tide,” this complex wave pattern was caused by the river ...

Surfers have long known to find larger waves on a rising tide. But scientific confusion remained as to how this surface wave interaction with ocean tides happens – until now. “We provide a theoretical ...

The seismic signals from volcanoes are complex waves that result from multiple single waves that occur simultaneously. To help students understand how a complex wave is formed, tell them that in this ...

Now, on to the subject of complex numbers. We have stayed away from this subject until now simply because we did not want to confuse things. Initially, it is easy to think of signals as “real valued.” ...