7 papers
Traveling and Dispersive Shock Waves in a Two-Dimensional Fermi-Pasta-Ulam-Tsingou Lattice
Christopher Chong, Panayotis G. Kevrekidis, Gino Biondini +1
In the present work we analyze traveling and dispersive shock waves of a two-dimensional Fermi-Pasta-Ulam-Tsingou lattice. In the first part of the paper, using variational techniq…
Modulation theory for lumps and interactions between lumps and a mean field in the Kadomtsev-Petviashvili equation
Gino Biondini, Sergey Dyachenko, Mark A. Hoefer +1
A (2+1)-dimensional hyperbolic system of four quasi-linear partial differential equations is derived that describes the modulations of lump solutions of the Kadomtsev-Petviashvili…
Nonlinear stage of modulational instability in repulsive two-component Bose-Einstein condensates
S. Mossman, S. I. Mistakidis, G. C. Katsimiga +5
Modulational instability (MI) is a fundamental phenomenon in the study of nonlinear dynamics, spanning diverse areas such as shallow water waves, optics, and ultracold atomic gases…
First-order continuum models for nonlinear dispersive waves in the granular crystal lattice
Su Yang, Gino Biondini, Christopher Chong +1
We derive and analyze, analytically and numerically, two first-order continuum models to approximate the nonlinear dynamics of granular crystal lattices, focusing specifically on s…
Experimental observation of the spatio-temporal dynamics of breather gases in a recirculating fiber loop
François Copie, Gino Biondini, Jeffrey Oregero +3
We report the first experimental observation of breather gases (BGs) in optics, realized in a recirculating fiber loop enabling virtually lossless propagation over km. Initi…
A regularized continuum model for traveling waves and dispersive shocks of the granular chain
Su Yang, Gino Biondini, Christopher Chong +1
In this paper we focus on a discrete physical model describing granular crystals, whose equations of motion can be described by a system of differential difference equations (DDEs)…