TY - JOUR
T1 - Domain walls of single-component Bose-Einstein condensates in external potentials
AU - Kevrekidis, P. G.
AU - Malomed, B. A.
AU - Frantzeskakis, D. J.
AU - Bishop, A. R.
AU - Nistazakis, H. E.
AU - Carretero-González, R.
PY - 2005/6/24
Y1 - 2005/6/24
N2 - We demonstrate the possibility of creating domain walls described by a single component Gross-Pitaevskii equation with attractive interactions, in the presence of an optical-lattice potential. While it is found that the domain wall is unstable in an infinite system, we show that the external magnetic trap can stabilize it. Stable solutions also include "twisted" domain walls, as well as asymmetric solitons. The results apply as well to spatial solitons in planar nonlinear optical waveguides with transverse modulation of the refractive index.
AB - We demonstrate the possibility of creating domain walls described by a single component Gross-Pitaevskii equation with attractive interactions, in the presence of an optical-lattice potential. While it is found that the domain wall is unstable in an infinite system, we show that the external magnetic trap can stabilize it. Stable solutions also include "twisted" domain walls, as well as asymmetric solitons. The results apply as well to spatial solitons in planar nonlinear optical waveguides with transverse modulation of the refractive index.
KW - Bose-Einstein condensation
KW - Domain wall
KW - Matter waves
KW - Optical lattice
KW - Soliton
UR - http://www.scopus.com/inward/record.url?scp=19144372738&partnerID=8YFLogxK
U2 - 10.1016/j.matcom.2005.01.016
DO - 10.1016/j.matcom.2005.01.016
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AN - SCOPUS:19144372738
VL - 69
SP - 334
EP - 345
JO - Mathematics and Computers in Simulation
JF - Mathematics and Computers in Simulation
SN - 0378-4754
IS - 3-4
Y2 - 7 April 2003 through 10 April 2003
ER -