My research focuses on physical applied mathematics, specifically nonlinear and dispersive wave propagation. One current project involves utilizing numerical and asymptotic methods to examine the interactions of line solitons, with applications to surface waves, internal waves, and plasmas. Another current project is studying magnetoelastic waves in a layered material. Feel free to contact me with questions or suggestions.
Manuscripts
SR., Maiden, M., Biondini, G., & Hoefer, M. (2021). Evolution of truncated and bent gravity wave solitons: The Mach expansion problem. Journal of Fluid Mechanics, 909, A24. Article Link
SR, Mark A. Hoefer, Gino Biondini. Oblique interactions between solitons and mean flows in the Kadomtsev-Petviashvili equation; submitted (2020). Article Link