87 citations · 192 across the 23 of their papers we have counts for
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math.AP2019
Dynamics of breathers in the Gardner hierarchy: universality of the variational characterization
Miguel A. Alejo, Eleomar Cardoso
We present a new variational characterization of breather solutions of any equation of the \emph{focusing} Gardner hierarchy. This hierarchy is characterized by a nonnegative index…
math.AP2019★ 2 cited
Global solutions and stability properties of the 5th order Gardner equation
Miguel A. Alejo, Chulkwang Kwak
In this work, we deal with the initial value problem of the 5th-order Gardner equation in , presenting the local well-posedness result in . As a conseq…
math.AP2019★ 2 cited
Stability and instability of breathers in the Sasa-Satusuma and Nonlinear Schrödinger models
Miguel A. Alejo, Luca Fanelli, Claudio Muñoz
We consider the Sasa-Satsuma (SS) and Nonlinear Schrödinger (NLS) equations posed along the line, in 1+1 dimensions. Both equations are canonical integrable models, with sol…