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 solut
✦ LIBER ✦
Sharp thresholds of two-components Bose–Einstein condensates
✍ Scribed by Lü Zhongxue; Liu Zuhan
- Publisher
- Elsevier Science
- Year
- 2009
- Tongue
- English
- Weight
- 491 KB
- Volume
- 58
- Category
- Article
- ISSN
- 0898-1221
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✦ Synopsis
In this paper, we establish a sharp condition of global existence for the solution of twocomponents Bose-Einstein Condensates. This condition is related to the ground state solution of some steady-state two-coupled nonlinear Schrödinger equations.
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