87 citations · 192 across the 23 of their papers we have counts for
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math.AP2020
Review on the stability of the Peregrine and related breathers
Miguel A. Alejo, Luca Fanelli, Claudio Muñoz
In this note, we review stability properties in energy spaces of three important nonlinear Schrödinger breathers: Peregrine, Kuznetsov-Ma, and Akhmediev. More precisely, we show th…
math.AP2020★ 17 cited
On the asymptotic stability of the sine-Gordon kink in the energy space
Miguel A. Alejo, Claudio Muñoz, José M. Palacios
We consider the sine-Gordon (SG) equation in 1+1 dimensions. The kink is a static, non-symmetric exact solution to SG, stable in the energy space . It is well-known…
math.AP2020★ 2 cited
Orbital stability of the black soliton for the quintic Gross-Pitaevskii equation
Miguel A. Alejo, Adán J. Corcho
In this work, a rigorous proof of the orbital stability of the black soliton solution of the quintic Gross-Pitaevskii equation in one spatial dimension is obtained. We first build…