40 citations · 96 across the 12 of their papers we have counts for
15 papers
Approximation of (some) FPUT lattices by KdV Equations
Joshua A. McGinnis, J. Douglas Wright
We consider a Fermi-Pasta-Ulam-Tsingou lattice with randomly varying coefficients. We discover a relatively simple condition which when placed on the nature of the randomness allow…
A simple model of radiating solitary waves
J. Douglas Wright
To understand an oft-observed but poorly understood phenomenon in which a solitary wave in a dispersive equation slowly deteriorates due to a persistent emission of radiation (i.e.…
Using Random Walks to Establish Wavelike Behavior in an FPUT System with Random Coefficients
Joshua A. McGinnis, J. Douglas Wright
We consider a linear Fermi-Pasta-Ulam-Tsingou lattice with random spatially varying material coefficients. Using the methods of stochastic homogenization we show that solutions wit…
Well-posedness and asymptotics of a coordinate-free model of flame fronts
David M. Ambrose, Fazel Hadadifard, J. Douglas Wright
We investigate a coordinate-free model of flame fronts introduced by Frankel and Sivashinsky; this model has a parameter which relates to how unstable the front might be. We fi…
Solitary Waves in Mass-in-Mass Lattices
Timothy E. Faver, Roy H. Goodman, J. Douglas Wright
We consider the existence of spatially localized traveling wave solutions of the mass-in-mass lattice. Under an anti-resonance condition first discovered by Kevrekidis, Stefanov an…
Generalized Solitary Waves in the Gravity-Capillary Whitham Equation
Mathew A. Johnson, J. Douglas Wright
We study the existence of traveling wave solutions to a unidirectional shallow water model which incorporates the full linear dispersion relation for both gravitational and capilla…