Mathew A. Johnson

activity

20072023

most citedNonlinear modulational stability of periodic traveling-wave solutions of the generalized Kuramoto-Sivashinsky equation

64 citations · 378 across the 32 of their papers we have counts for

collaborators

Showing 2020Show all

2 papers · 1 filter

math.AP2020★ 7 cited

Subharmonic Dynamics of Wave Trains in Reaction Diffusion Systems

Mathew A. Johnson, Wesley R. Perkins

We investigate the stability and nonlinear local dynamics of spectrally stable wave trains in reaction-diffusion systems. For each $N \in N$ , such $T$ -periodic traveling wav…

math.AP2020

Linear Modulational and Subharmonic Dynamics of Spectrally Stable Lugiato-Lefever Periodic Waves

Mariana Haragus, Mathew A. Johnson, Wesley R. Perkins

We study the linear dynamics of spectrally stable $T$ -periodic stationary solutions of the Lugiato-Lefever equation (LLE), a damped nonlinear Schrödinger equation with forcing that…