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Stability of nonlinear Dirac solitons under the action of external potential
David Mellado-Alcedo and Niurka R. Quintero Chaos: An Interdisciplinary Journal of Nonlinear Science 34(1) (2024) https://doi.org/10.1063/5.0177392
Results on the Spectral Stability of Standing Wave Solutions of the Soler Model in 1-D
Danko Aldunate, Julien Ricaud, Edgardo Stockmeyer and Hanne Van Den Bosch Communications in Mathematical Physics 401(1) 227 (2023) https://doi.org/10.1007/s00220-023-04646-4
Spectral stability and instability of solitary waves of the Dirac equation with concentrated nonlinearity
Nabile Boussaïd, Claudio Cacciapuoti, Raffaele Carlone, Andrew Comech, Diego Noja and Andrea Posilicano Communications on Pure and Applied Analysis (2023) https://doi.org/10.3934/cpaa.2023098
Study of instability of the Fourier split-step method for the massive Gross–Neveu model
Stability analysis of the numerical Method of characteristics applied to a class of energy-preserving hyperbolic systems. Part I: Periodic boundary conditions
K K Sabirov, D B Babajanov, D U Matrasulov and P G Kevrekidis Journal of Physics A: Mathematical and Theoretical 51(43) 435203 (2018) https://doi.org/10.1088/1751-8121/aadfb0
Numerical study of solitary wave stability in cubic nonlinear Dirac equations in 1D
Solitary Waves of a $\mathcal {P}$$\mathcal {T}$-Symmetric Nonlinear Dirac Equation
Jesus Cuevas-Maraver, Panayotis G. Kevrekidis, Avadh Saxena, et al. IEEE Journal of Selected Topics in Quantum Electronics 22(5) 67 (2016) https://doi.org/10.1109/JSTQE.2015.2485607
L2orbital stability of Dirac solitons in the massive Thirring model