11 citations · 11 across the 1 of their papers we have counts for
3 papers
math.AP2017
Numerical Bifurcation and Spectral Stability of Wavetrains in Bidirectional Whitham Models
Kyle M. Claassen, Mathew A. Johnson
We consider several different bidirectional Whitham equations that have recently appeared in the literature. Each of these models combine the full two-way dispersion relation from…
math.AP2016
Existence of a highest wave in a fully dispersive two-way shallow water model
Mats Ehrnström, Mathew A. Johnson, Kyle M. Claassen
We consider the existence of periodic traveling waves in a bidirectional Whitham equation, combining the full two-way dispersion relation from the incompressible Euler equations wi…
math.AP2016★ 11 cited
Nondegeneracy and Stability of Antiperiodic Bound States for Fractional Nonlinear Schrödinger Equations
Kyle M. Claassen, Mathew A. Johnson
We consider the existence and stability of real-valued, spatially antiperiodic standing wave solutions to a family of nonlinear Schrödinger equations with fractional dispersion and…