TY - JOUR
T1 - Exact localized and oscillatory solutions of the nonlinear spin and pseudospin symmetric Dirac equations
AU - Al Khawaja, U.
N1 - Publisher Copyright:
© 2014 American Physical Society.
PY - 2014/11/10
Y1 - 2014/11/10
N2 - We derive exact analytic solutions of nonlinear Dirac equations with Kerr-like cubic nonlinearity. The equations model, among many physical systems, a Bose-Einstein condensate confined by a two-dimensional honeycomb optical lattice as well as relativistic solitons in optical waveguide arrays. The nonrelativistic limit of the solutions is derived, and the role of the nonlinearity on localization is discussed. The possibility of realizing some of these solutions in waveguide arrays and Bose-Einstein condensates is pointed out.
AB - We derive exact analytic solutions of nonlinear Dirac equations with Kerr-like cubic nonlinearity. The equations model, among many physical systems, a Bose-Einstein condensate confined by a two-dimensional honeycomb optical lattice as well as relativistic solitons in optical waveguide arrays. The nonrelativistic limit of the solutions is derived, and the role of the nonlinearity on localization is discussed. The possibility of realizing some of these solutions in waveguide arrays and Bose-Einstein condensates is pointed out.
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U2 - 10.1103/PhysRevA.90.052105
DO - 10.1103/PhysRevA.90.052105
M3 - Article
AN - SCOPUS:84909957758
SN - 1050-2947
VL - 90
JO - Physical Review A - Atomic, Molecular, and Optical Physics
JF - Physical Review A - Atomic, Molecular, and Optical Physics
IS - 5
M1 - 052105
ER -