64 citations · 378 across the 32 of their papers we have counts for
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math.AP2018
On the Dynamics of Traveling Fronts Arising in Nanoscale Pattern Formation
Mathew A. Johnson, Gregory D. Lyng, Connor Smith
We study the stability and dynamics of traveling-front solutions of a modified Kuramoto--Sivashinsky equation arising in the modeling of nanoscale ripple patterns that form when a…
math.AP2018
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…