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Parameter-free higher-order Schrodinger systems with weak dissipation and forcing
Jack Keeler, Alberto Alberello, Ben Humphries +1
The higher-order nonlinear Schrodinger equation (Dysthe's equation in the context of water-waves) models the time evolution of the slowly modulated amplitude of a wave-packet in di…
Steady periodic hydroelastic waves in polar regions
Bogdan-Vasile Matioc, Emilian Parau
We construct two-dimensional steady periodic hydroelastic waves with vorticity that propagate on water of finite depth under a deformable floating elastic plate which is modeled by…
Stability of Periodic Travelling Flexural-Gravity Waves in Two Dimensions
Olga Trichtchenko, Paul Milewski, Emilian Parau +1
In this work, we solve the Euler's equations for periodic waves travelling under a sheet of ice using a reformulation introduced in Ablowitz et al. (2006). These waves are referred…