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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…
nlin.PS2025★ 1 cited
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…