7 citations · 7 across the 1 of their papers we have counts for
3 papers
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 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…