96 citations · 216 across the 10 of their papers we have counts for
13 papers
Nonlinear Subharmonic Dynamics of Spectrally Stable Lugiato-Lefever Periodic Waves
Mariana Haragus, Mathew A. Johnson, Wesley R. Perkins +1
We study the nonlinear dynamics of perturbed, spectrally stable -periodic stationary solutions of the Lugiato-Lefever equation (LLE), a damped nonlinear Schrödinger equation wit…
Transverse dynamics of two-dimensional traveling periodic gravity-capillary water waves
Mariana Haragus, Tien Truong, Erik Wahlén
We study the transverse dynamics of two-dimensional traveling periodic waves for the gravity--capillary water-wave problem. The governing equations are the Euler equations for the…
Linear instability of breathers for the focusing nonlinear Schr{ö}dinger equation
Mariana Haragus, Dmitry Pelinovsky
Relying upon tools from the theory of integrable systems, we discuss the linear instability of the Kuznetsov-Ma breathers and the Akhmediev breathers of the focusing nonlinear Schr…
Heteroclinic orbits for a system of amplitude equations for orthogonal domain walls
Boris Buffoni, Mariana Haragus, Gérard Iooss
Using a variational method, we prove the existence of heteroclinic solutions for a 6dimensional system of ordinary differential equations. We derive this system from the classical…
Linear Modulational and Subharmonic Dynamics of Spectrally Stable Lugiato-Lefever Periodic Waves
Mariana Haragus, Mathew A. Johnson, Wesley R. Perkins
We study the linear dynamics of spectrally stable -periodic stationary solutions of the Lugiato-Lefever equation (LLE), a damped nonlinear Schrödinger equation with forcing that…
Floquet Analysis of Kuznetsov--Ma breathers: A Path Towards Spectral Stability of Rogue Waves
J. Cuevas-Maraver, P. G. Kevrekidis, D. J. Frantzeskakis +3
In the present work, we aim at taking a step towards the spectral stability analysis of Peregrine solitons, i.e., wave structures that are used to emulate extreme wave events. Give…