期刊
PHYSICA D-NONLINEAR PHENOMENA
卷 211, 期 3-4, 页码 311-346出版社
ELSEVIER
DOI: 10.1016/j.physd.2005.09.003
关键词
nonlinear Schrodinger equation; Bose-Einstein condensate; pitchfork bifurcation; Gross-Pitaevskii equation
In this paper, we prove that the solution curve of the ground/positive bound states of a two-component Bose-Einstein condensate undergoes supercritical pitchfork bifurcations at some finite values of the inter-component scattering length. The ground state solutions bifurcate into two symmetric solutions with respect to some suitable axis on the symmetric domain, when a twocomponent BEC has equal intra- and inter-component scattering lengths. Furthermore, we show that the ground/positive bound states repel each other and form segregated nodal domains when the repulsive scattering length goes to infinity. Numerical results of bifurcation diagrams and the forms of ground/positive bound state solutions for a two-component BEC with various trap potentials are presented. (c) 2005 Elsevier B.V. All rights reserved.
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