55 citations · 357 across the 18 of their papers we have counts for
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Nonlinear resonances of water waves
Elena Kartashova
In the last fifteen years, a great progress has been made in the understanding of the nonlinear resonance dynamics of water waves. Notions of scale- and angle-resonances have been…
Effect of the dynamical phases on the nonlinear amplitudes' evolution
Miguel D. Bustamante, Elena Kartashova
In this Letter we show how the nonlinear evolution of a resonant triad depends on the special combination of the modes' phases chosen according to the resonance conditions. This ph…
Dynamics of nonlinear resonances in Hamiltonian systems
Miguel D. Bustamante, Elena Kartashova
It is well known that the dynamics of a Hamiltonian system depends crucially on whether or not it possesses nonlinear resonances. In the generic case, the set of nonlinear resonanc…
Resonant interactions of nonlinear water waves in a finite basin
Elena Kartashova, Sergey Nazarenko, Oleksii Rudenko
We study exact four-wave resonances among gravity water waves in a square box with periodic boundary conditions. We show that these resonant quartets are linked with each other by…