329 citations · 5.2k across the 203 of their papers we have counts for
5 papers · 2 filters
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…
Response of exact solutions of the nonlinear Schrodinger equation to small perturbations in a class of complex external potentials having supersymmetry and parity-time symmetry
Fred Cooper, John F. Dawson, Franz G. Mertens +5
We discuss the effect of small perturbation on nodeless solutions of the nonlinear \Schrodinger\ equation in 1+1 dimensions in an external complex potential derivable from a parity…
Kink Dynamics in a Parametric System: A Model With Controllably Many Internal Modes
A. Demirkaya, R. Decker, P. G. Kevrekidis +2
We explore a variant of the model originally proposed in Phys.\ Rev.\ D {\bf 12}, 1606 (1975) as a prototypical, so-called, "bag" model in which domain walls play the role of…
Speed-of-light pulses in the massless nonlinear Dirac equation with a potential
Niurka R. Quintero, Franz G. Mertens, Fred Cooper +2
We consider the massless nonlinear Dirac (NLD) equation in dimension with scalar-scalar self-interaction in the presence of three external electro…
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…