96 citations · 115 across the 3 of their papers we have counts for
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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 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…
Orbital stability of periodic waves for the nonlinear Schroedinger equation
Thierry Gallay, Mariana Haragus
The nonlinear Schroedinger equation has several families of quasi-periodic travelling waves, each of which can be parametrized up to symmetries by two real numbers: the period of t…
Stability of small periodic waves for the nonlinear Schroedinger equation
Thierry Gallay, Mariana Haragus
The nonlinear Schroedinger equation possesses three distinct six-parameter families of complex-valued quasi-periodic travelling waves, one in the defocusing case and two in the foc…