Externally driven nonlinear Dirac equation revisited: theory and simulations

DOI10.1088/1751-8121/ab0dd9OpenAlexW2921953790WikidataQ128298859 ScholiaQ128298859MaRDI QIDQ5053450

Sihong Shao, Niurka Rodriguez Quintero, Franz G. Mertens, Renato Álvarez-Nodarse

Publication date: 6 December 2022

Published in: Journal of Physics A: Mathematical and Theoretical (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1088/1751-8121/ab0dd9

zbMATH Keywords

variational approachnumerical simulationsmethod of momentscollective coordinatessoliton stabilityexternal forcenonlinear spinor field

Mathematics Subject Classification ID

Quantum theory (81-XX) Statistical mechanics, structure of matter (82-XX)

Related Items (4)

Length-scale competition in the parametrically driven nonlinear Dirac equation with a spatially periodic force ⋮ Parametrically driven nonlinear Dirac equation with arbitrary nonlinearity ⋮ Exact stationary solutions of the parametrically driven and damped nonlinear Dirac equation ⋮ Soliton dynamics in the ABS nonlinear spinor model with external fields

Cites Work

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• Higher-order accurate Runge-Kutta discontinuous Galerkin methods for a nonlinear Dirac model
• Nonlinear Dirac equation solitary waves under a spinor force with different components
• Solitary waves in the nonlinear Dirac equation in the presence of external driving forces
• Exact localized solutions of a family of two-dimensional nonlinear spinor fields
• Nonlinear Dirac soliton in an external field

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