Mathematics – Logic
Scientific paper
Feb 2005
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2005phrve..71b5601o&link_type=abstract
Physical Review E, vol. 71, Issue 2, id. 025601
Mathematics
Logic
4
Nonlinear Waveguides, Tunneling, Josephson Effect, Bose-Einstein Condensates In Periodic Potentials, Solitons, Vortices, And Topological Excitations, Optical Bistability, Multistability, And Switching, Including Local Field Effects, Localized Modes
Scientific paper
We consider a lattice model for waveguide arrays embedded in nonlinear Kerr media. Inclusion of nonlinear coupling results in many phenomena involving complex, phase-twisted, stationary modes. The norm (Poynting power) current of stable plane-wave solutions can be controlled in magnitude and direction, and may be reversed without symmetry-breaking perturbations. Also stable localized phase-twisted modes with zero current exist, which for particular parameter values may be compact and expressed analytically. The model also describes coupled Bose-Einstein condensates.
Johansson Magnus
Oster Michael
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