176 citations · 768 across the 86 of their papers we have counts for
3 papers · 2 filters
Compactons and their variational properties for degenerate KdV and NLS in dimension 1
Pierre Germain, Benjamin Harrop-Griffiths, Jeremy L. Marzuola
We analyze the stationary and traveling wave solutions to a family of degenerate dispersive equations of KdV and NLS-type. In stark contrast to the standard soliton solutions for n…
Small data global solutions for the Camassa-Choi equations
Benjamin Harrop-Griffiths, Jeremy L. Marzuola
We consider solutions to the Cauchy problem for an internal-wave model derived by Camassa-Choi in a paper in Journal of Fluid Mechanics (1996). This model is a natural generalizati…
The profile decomposition for the hyperbolic Schrödinger equation
Benjamin Dodson, Jeremy L. Marzuola, Benoit Pausader +1
In this note, we prove the profile decomposition for hyperbolic Schrödinger (or mixed signature) equations on in two cases, one mass-supercritical and one mass-criti…