2 papers
nlin.PS2024
Stability of traveling waves in a nonlinear hyperbolic system approximating a dimer array of oscillators
Huaiyu Li, Andrew Hofstrand, Michael I. Weinstein
We study a semilinear hyperbolic system of PDEs which arises as a continuum approximation of the discrete nonlinear dimer array model introduced by Hadad, Vitelli and Alu (HVA) in…
math.NA2023
Discontinuous Galerkin methods for a first-order semi-linear hyperbolic continuum model of a topological resonator dimer array
Qiang Du, Huaiyu Li, Michael Weinstein +1
We present discontinuous Galerkin (DG) methods for solving a first-order semi-linear hyperbolic system, which was originally proposed as a continuum model for a one-dimensional dim…