64 citations · 378 across the 32 of their papers we have counts for
3 papers · 1 filter
Stability of Traveling wave solutions of Nonlinear Dispersive equations of NLS type
Katelyn Plaisier Leisman, Jared C Bronski, Mathew A Johnson +1
In this paper we present a rigorous modulational stability theory for periodic traveling wave solutions to equations of nonlinear Schrödinger (NLS) type. We first argue that, for H…
Modulational Instability of Viscous Fluid Conduit Periodic Waves
Mathew A. Johnson, Wesley R. Perkins
In this paper, we are interested in studying the modulational dynamics of interfacial waves rising buoyantly along a conduit of a viscous liquid. Formally, the behavior of modulate…
On the bifurcation diagram of the capillary-gravity Whitham equation
Mats Ehrnström, Mathew A. Johnson, Ola I. H. Maehlen +1
We study the bifurcation of periodic travelling waves of the capillary-gravity Whitham equation. This is a nonlinear pseudo-differential equation that combines the canonical shallo…