76 citations · 688 across the 39 of their papers we have counts for
39 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…
Stability of nonlinear Dirac solitons under the action of external potential
David Mellado-Alcedo, Niurka R. Quintero
The instabilities observed in direct numerical simulations of the Gross-Neveu equation under linear and harmonic potentials are studied. The Lakoba algorithm, based on the method o…
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…
The Schrödinger equation for the Rosen-Morse type potential revisited with applications
Guillermo Gordillo-Núñez, Renato Alvarez-Nodarse, Niurka R. Quintero
We rigorously solve the time-independent Schrödinger equation for the Rosen-Morse type potential. By using the Nikiforov-Uvarov method, we obtain, in a systematic way, the complete…
Stability of solitary waves in nonlinear Klein-Gordon equations
Pablo Rabán, Renato Alvarez-Nodarse, Niurka R. Quintero
The stability of topological solitary waves and pulses in one-dimensional nonlinear Klein-Gordon systems is revisited. The linearized equation describing small deviations around th…
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)…