41 citations · 179 across the 30 of their papers we have counts for
6 papers · 1 filter
Solitary waves in the Nonlinear Dirac Equation
J. Cuevas-Maraver, N. Boussaïd, A. Comech +3
In the present work, we consider the existence, stability, and dynamics of solitary waves in the nonlinear Dirac equation. We start by introducing the Soler model of self-interacti…
Stability of new exact solutions of the nonlinear Schrodinger equation in a Poschl-Teller external potential
John F. Dawson, Fred Cooper, Avinash Khare +5
We discuss the stability properties of the solutions of the general nonlinear \Schrodinger\ equation (NLSE) in 1+1 dimensions in an external potential derivable from a parity-time…
Stability of exact solutions of the nonlinear Schroedinger equation in an external potential having supersymmetry and parity-time symmetry
Fred Cooper, Avinash Khare, Andrew Comech +3
We discuss the stability properties of the solutions of the general nonlinear Schroedinger equation (NLSE) in 1+1 dimensions in an external potential derivable from a parity-time (…
Stability of solitary waves and vortices in a 2D nonlinear Dirac model
J. Cuevas-Maraver, P. G. Kevrekidis, A. Saxena +2
We explore a prototypical two-dimensional model of the nonlinear Dirac type and examine its solitary wave and vortex solutions. In addition to identifying the stationary states, we…
Solitary waves of a PT-symmetric Nonlinear Dirac equation
Jesús Cuevas--Maraver, Panayotis G. Kevrekidis, Avadh Saxena +4
In the present work, we consider a prototypical example of a PT-symmetric Dirac model. We discuss the underlying linear limit of the model and identify the threshold of the PT-phas…
Discrete peakons
A. Comech, J. Cuevas, P. G. Kevrekidis
We demonstrate for the first time the possibility for explicit construction in a discrete Hamiltonian model of an exact solution of the form , i.e., a discrete peakon.…