8 citations · 11 across the 5 of their papers we have counts for
12 papers
Breather Solutions to the Cubic Whitham Equation
Henrik Kalisch, Miguel A. Alejo, Adán J. Corcho +1
We are concerned with numerical approximations of breather solutions for the cubic Whitham equation which arises as a water-wave model for interfacial waves. The model combines str…
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…
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…
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…
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…
On global solutions to some non-Markovian quantum kinetic models of Fokker-Planck type
Miguel A. Alejo, José Luis López
In this paper, global well-posedness of the non-Markovian Unruh-Zurek and Hu-Paz-Zhang master equations with nonlinear electrostatic coupling is demonstrated. They both consist of…