8 citations · 22 across the 7 of their papers we have counts for
8 papers
Wedge problems and dispersive shock waves in the two-dimensional Toda lattice
Marco Calabrese, Gino Biondini, Christopher Chong +1
We study the formation and interaction of dispersive shock waves (DSWs) in the two-dimensional Toda lattice subject to wedge-type initial conditions, and show that their interactio…
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…
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…
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)…
Dynamics of Nonlinear Lattices
Christopher Chong, P. G. Kevrekidis
In this topical review we explore the dynamics of nonlinear lattices with a particular focus to Fermi-Pasta-Ulam-Tsingou type models that arise in the study of elastic media and, m…
Hydrodynamics of a Discrete Conservation Law
Patrick Sprenger, Christopher Chong, Emmanuel Okyere +3
The Riemann problem for the discrete conservation law is classified using Whitham modulation theory, a quasi-continuum approximation, and…
Integrable Approximations of Dispersive Shock Waves of the Granular Chain
C. Chong, A. Geisler, P. G. Kevrekidis +1
In the present work we revisit the shock wave dynamics in a granular chain with precompression. By approximating the model by an -Fermi-Pasta-Ulam-Tsingou chain, we leverage the…
On the Whitham modulation equations for the Toda lattice and the quantitative characterization of its dispersive shocks
Gino Biondini, Christopher Chong, Panayotis Kevrekidis
The aim of this work is multifold. Firstly, it intends to present a complete, quantitative and self-contained description of the periodic traveling wave solutions and Whitham modul…