• Existence of a Highest Wave in a Fully Dispersive Two-Way Shallow Water Model 

      Ehrnstrom, Mats; Johnson, Mathew A; Claassen, Kyle M (Journal article; Peer reviewed, 2018)
      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 with a canonical shallow water nonlinearity. ...
    • On the Bifurcation Diagram of the Capillary–Gravity Whitham Equation 

      Ehrnstrom, Mats; Remonato, Filippo; Mæhlen, Ola Isaac Høgåsen; Johnson, Mathew A (Journal article, 2019)
      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 shallow water nonlinearity with the exact ...