Lax pair, binary Darboux transformation and dark solitons for the three-component Gross–Pitaevskii system in the spinor Bose–Einstein condensate

2020 ◽  
Vol 99 (4) ◽  
pp. 3001-3011 ◽  
Author(s):  
Yu-Qiang Yuan ◽  
Bo Tian ◽  
Qi-Xing Qu ◽  
Chen-Rong Zhang ◽  
Xia-Xia Du
Keyword(s):  
Darboux Transformation ◽  
Lax Pair ◽  
Einstein Condensate ◽  
Dark Solitons ◽  
Bose Einstein Condensate ◽  
Binary Darboux Transformation ◽  
Bose Einstein

Generating ring dark solitons in an evolving Bose-Einstein condensate

2007 ◽  
Vol 76 (6) ◽  
Author(s):  
Shi-Jie Yang ◽  
Quan-Sheng Wu ◽  
Sheng-Nan Zhang ◽  
Shiping Feng ◽  
Wenan Guo ◽  
...  
Keyword(s):  
Einstein Condensate ◽  
Dark Solitons ◽  
Bose Einstein Condensate ◽  
Bose Einstein

scholarly journals Nonperiodic Oscillation of Bright Solitons in Condensates with a Periodically Oscillating Harmonic Potential 10.5560/ZNA.2012-0085

2012 ◽  
Vol 67 (12) ◽  
pp. 723-728
Author(s):  
Zhang-Ming He ◽  
Deng-Long Wang ◽  
Yan-Chao She ◽  
Jian-Wen Ding ◽  
Xiao-Hong Yan
Keyword(s):  
Darboux Transformation ◽  
Oscillation Frequency ◽  
Dynamic Properties ◽  
Einstein Condensate ◽  
Harmonic Potential ◽  
Bright Solitons ◽  
Bose Einstein Condensate ◽  
Oscillating Potential ◽  
Bose Einstein

Considering a periodically oscillating harmonic potential, we explored the dynamic properties of bright solitons in a Bose-Einstein condensate by using Darboux transformation. It is found that the soliton movement exhibits a nonperiodic oscillation under a slow oscillating potential, while it is hardly affected under a fast oscillating potential. Furthermore, the head-on and/or ‘chase’ collisions of two solitons have been obtained, which could be controlled by the oscillation frequency of the potential.

scholarly journals Dark Solitons in F=1 Spinor Bose–Einstein Condensate

2006 ◽  
Vol 75 (6) ◽  
pp. 064002 ◽  
Author(s):  
Masaru Uchiyama ◽  
Jun'ichi Ieda ◽  
Miki Wadati
Keyword(s):  
Einstein Condensate ◽  
Dark Solitons ◽  
Bose Einstein Condensate ◽  
Bose Einstein
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