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nlin.PS2025★ 3 cited
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…
nlin.PS2025★ 1 cited
Stability of parametrically driven, damped nonlinear Dirac solitons
Bernardo Sánchez-Rey, David Mellado-Alcedo, Niurka R. Quintero
The linear stability of two exact stationary solutions of the parametrically driven, damped nonlinear Dirac equation is investigated. Stability is ascertained through the resolutio…