112 citations · 1.4k across the 67 of their papers we have counts for
67 papers
Soliton dynamics in the ABS nonlinear spinor model with external fields
Franz G. Mertens, Bernardo Sánchez-Rey, Niurka R. Quintero
We consider the novel nonlinear model in (1 + 1)-dimensions for Dirac spinors recently introduced by Alexeeva, Barashenkov, and Saxena [1] (ABS model), which admits an exact explic…
Soliton dynamics and stability in the ABS spinor model with a PT-symmetric periodic potential
Franz G. Mertens, Bernardo Sánchez-Rey, Niurka R. Quintero
We investigate the effects on solitons dynamics of introducing a PT-symmetric complex potential in a specific family of the cubic Dirac equation in (1+1)-dimensions, called the ABS…
Parametrically driven nonlinear Dirac equation with arbitrary nonlinearity
Fred Cooper, Avinash Khare, Niurka R. Quintero +3
The damped and parametrically driven nonlinear Dirac equation with arbitrary nonlinearity parameter is analyzed, when the external force is periodic in space and given by $f(x)…
Speed-of-light pulses in a nonlinear Weyl equation
J. Cuevas-Maraver, P. G. Kevrekidis, F. G. Mertens +1
We introduce a prototypical nonlinear Weyl equation, motivated by recent developments in massless Dirac fermions, topological semimetals and photonics. We study the dynamics of its…
Localization of magnon modes in a curved magnetic nanowire
Yuri Gaididei, Volodymyr P. Kravchuk, Franz G. Mertens +4
Spin waves in magnetic nanowires can be bound by a local bending of the wire. The eigenfrequency of a truly local magnon mode is determined by the curvature: a general analytical e…
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…