TY - GEN
T1 - Localized nonlinear optical modes and the corresponding support structures
T2 - 2010 12th International Conference on Electromagnetics in Advanced Applications, ICEAA'10
AU - Malomed, B. A.
AU - Stepanyants, Y. A.
PY - 2010
Y1 - 2010
N2 - Two analytical techniques for the generation of wide classes of exact solutions of the nonlinear Schrödinger equation (NLSE) containing an external potential are proposed. Both methods are illustrated by a variety of localized solutions, including solitary optical vortices, for both the self-focusing and self-defocusing nonlinearities. The stability of solutions was tested by direct numerical simulations of the NLSE; the existence of stable localized modes was confirmed through the simulation
AB - Two analytical techniques for the generation of wide classes of exact solutions of the nonlinear Schrödinger equation (NLSE) containing an external potential are proposed. Both methods are illustrated by a variety of localized solutions, including solitary optical vortices, for both the self-focusing and self-defocusing nonlinearities. The stability of solutions was tested by direct numerical simulations of the NLSE; the existence of stable localized modes was confirmed through the simulation
UR - http://www.scopus.com/inward/record.url?scp=78651297545&partnerID=8YFLogxK
U2 - 10.1109/ICEAA.2010.5651681
DO - 10.1109/ICEAA.2010.5651681
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AN - SCOPUS:78651297545
SN - 9781424473687
T3 - Proceedings - 2010 12th International Conference on Electromagnetics in Advanced Applications, ICEAA'10
SP - 20
EP - 23
BT - Proceedings - 2010 12th International Conference on Electromagnetics in Advanced Applications, ICEAA'10
Y2 - 20 September 2010 through 24 September 2010
ER -