Our research is in the field of nonlinear waves, lying at the nexus of applied mathematics and physics. Mathematically, the nonlinear waves that we investigate are solutions to nonlinear, dispersive ...

BUFFALO, N.Y. — One of the great joys in mathematics is the ability to use it to describe phenomena seen in the physical world, says University at Buffalo mathematician Gino Biondini. With UB ...

The soliton structure plays a fundamental role in many physical systems due to its fundamental feature: its shape remains unchanged after the collision with another soliton in the case of integrable ...

From Quanta Magazine (find original story here). In the 1950s, Philip Anderson, a physicist at Bell Laboratories, discovered a strange phenomenon. In some situations where it seems as though waves ...

Researchers at the Cavendish Laboratory, University of Cambridge have demonstrated a new way to control radiation in the terahertz range—an often-overlooked part of the electromagnetic spectrum—with ...

Electromagnetic energy in the terahertz region of the spectrum – nominally 300 GHz/0.3 THz to 10 THz, although some consider it to start at 100 GHz/0.1 THz – presents a technical dilemma. On one hand, ...

Two mathematicians have published a new paper that advances the art -- or shall we say, the math -- of describing a wave. The study explores what happens when a regular wave pattern has small ...