The nonlinear Dirac equation in Bose–Einstein condensates: I. Relativistic solitons in armchair nanoribbon optical lattices

DOI10.1088/1367-2630/17/6/063033zbMath1452.35187arXiv1305.6532OpenAlexW3105268221WikidataQ62111934 ScholiaQ62111934MaRDI QIDQ3387807

Christina M. Weaver, L. H. Haddad, Lincoln D. Carr

Publication date: 13 January 2021

Published in: New Journal of Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1305.6532

zbMATH Keywords

solitonDirac equationBose-Einstein condensate

Mathematics Subject Classification ID

NLS equations (nonlinear Schrödinger equations) (35Q55) Statistical mechanics of superfluids (82D50) Soliton solutions (35C08)

Related Items (7)

Error estimates of numerical methods for the nonlinear Dirac equation in the nonrelativistic limit regime ⋮ Lax pair and new exact solutions of the nonlinear Dirac equation ⋮ High-order compact methods for the nonlinear Dirac equation ⋮ The nonlinear Dirac equation in Bose–Einstein condensates: superfluid fluctuations and emergent theories from relativistic linear stability equations ⋮ Strongly localized semiclassical states for nonlinear Dirac equations ⋮ The nonlinear Dirac equation in Bose–Einstein condensates: II. Relativistic soliton stability analysis ⋮ Uniform Error Bounds of Time-Splitting Methods for the Nonlinear Dirac Equation in the Nonrelativistic Regime without Magnetic Potential

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• Soliton solutions in an integrable chiral model in 2+1 dimensions
• Reaction of the nonlinear Dirac equation to a nonlinear Schrodinger equation with a correction term
• Understanding Quantum Phase Transitions

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