Nonrelativistic Asymptotics of Solitary Waves in the Dirac Equation with Soler-Type Nonlinearity
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Publication:5283342
DOI10.1137/16M1081385zbMath1375.35427arXiv1606.07308MaRDI QIDQ5283342
Nabile Boussaid, Andrew Komech
Publication date: 21 July 2017
Published in: SIAM Journal on Mathematical Analysis (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1606.07308
Solitary waves for incompressible inviscid fluids (76B25) Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Bifurcations in context of PDEs (35B32) Time-dependent Schrödinger equations and Dirac equations (35Q41)
Related Items (11)
On Solutions with Compact Spectrum to Nonlinear Klein--Gordon and Schrödinger Equations ⋮ Spectral stability of bi-frequency solitary waves in Soler and Dirac-Klein-Gordon models ⋮ Small amplitude solitary waves in the Dirac-Maxwell system ⋮ Spectral stability and instability of solitary waves of the Dirac equation with concentrated nonlinearity ⋮ Numerical study of solitary wave stability in cubic nonlinear Dirac equations in 1D ⋮ Dispersive estimates for massive Dirac operators in dimension two ⋮ Limiting absorption principle and Strichartz estimates for Dirac operators in two and higher dimensions ⋮ Nonexistence of self-similar blowup for the nonlinear Dirac equations in \((1+1)\) dimensions ⋮ Orbital stability and spectral properties of solitary waves of Klein-Gordon equation with concentrated nonlinearity ⋮ Sharp decay estimates for critical Dirac equations ⋮ Spectral stability of small amplitude solitary waves of the Dirac equation with the Soler-type nonlinearity
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