17 citations · 56 across the 4 of their papers we have counts for
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Modulation theory for soliton resonance and Mach reflection
Samuel J. Ryskamp, Mark A. Hoefer, Gino Biondini
Resonant Y-shaped soliton solutions to the Kadomtsev-Petviashvili II (KPII) equation are modelled as shock solutions to an infinite family of modulation conservation laws. The full…
Oblique interactions between solitons and mean flows in the Kadomtsev-Petviashvili equation
Samuel J. Ryskamp, Mark A. Hoefer, Gino Biondini
The interaction of an oblique line soliton with a one-dimensional dynamic mean flow is analyzed using the Kadomtsev-Petviashvili II (KPII) equation. Building upon previous studies…
Evolution of truncated and bent gravity wave solitons: the Mach expansion problem
Samuel Ryskamp, Michelle D. Maiden, Gino Biondini +1
The dynamics of initially truncated and bent line solitons for the Kadomtsev-Petviashvili (KPII) equation modelling internal and surface gravity waves are analysed using modulation…