Stochastic nonlinear wave equations and Schrödinger equations represent a fascinating confluence of probability theory and the analysis of partial differential equations. By incorporating random ...

Proceedings of the Royal Irish Academy. Section A: Mathematical and Physical Sciences, Vol. 75 (1975), pp. 195-226 (33 pages) The study of a transmission line with negligible series resistance but ...

This course is an introduction to the theory of non-linear wave equations. The plan is to cover the following topics: (1) The linear wave equation in Minkowski space: Representation formula, Fourier ...

University of Queensland researchers have created a microscopic "ocean" on a silicon chip to miniaturize the study of wave dynamics. The device, made at UQ's School of Mathematics and Physics, uses a ...

where f(0) = 0. Here, u(x,t) is a real-valued function of n-dimensional space x and of time t. By periodic solution we understand solutions that are periodic in time and square integrable in space.

Deep-water wave groups are known to be unstable and become rogue. Such unstable wave groups propagate independently regardless of interference. Results seem to support the concept of an unperturbed ...