87 citations · 192 across the 23 of their papers we have counts for
5 papers · 1 filter
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…
On the dynamics of zero-speed solutions for Camassa-Holm type equations
Miguel A. Alejo, Manuel F. Cortez, Chulkwang Kwak +1
In this paper we consider globally defined solutions of Camassa-Holm (CH) type equations outside the well-known nonzero speed, peakon region. These equations include the standard C…
The Akhmediev Breather is unstable
Miguel A. Alejo, Luca Fanelli, Claudio Muñoz
In this note, we give a rigorous proof that the NLS periodic Akhmediev breather is unstable. The proof follows the ideas in [17], in the sense that a suitable modification of the S…
On the ill-posedness of the 5th-order Gardner equation
Miguel A. Alejo, Eleomar Cardoso
We present ill-posedness results for the initial value problem (IVP) of the 5th-order Gardner equation. We use new breather solutions discovered for this higher order Gardner equat…
Nonlinear stability of higher order mKdV breathers
Miguel A. Alejo, Eleomar Cardoso
We are interested in stability results for breather solutions of the 5th, 7th and 9th order mKdV equations. We show that these higher order mKdV breathers are stable in ,…