213 citations · 1.3k across the 52 of their papers we have counts for
52 papers
High precision solutions to quantized vortices within Gross-Pitaevskii equation
Hao-Hao Peng, Jian Deng, Sen-Yue Lou +1
The dynamics of vortices in Bose-Einstein condensates of dilute cold atoms can be well formulated by Gross-Pitaevskii equation. To better understand the properties of vortices, a s…
Duality of positive and negative integrable hierarchies via relativistically invariant fields
S. Y. Lou, X. B. Hu, Q. P. Liu
It is shown that the relativistic invariance plays a key role in the study of integrable systems. Using the relativistically invariant sine-Gordon equation, the Tzitzeica equation,…
New hierarchy of multiple soliton solutions for the (2+1)-dimensional Sawada-Kotera equation
Ruoxia Yao, Yan Li, Senyue Lou
A new transformation that can formulate a quintic linear equation and a pair of Hirota's bilinear equations for the (2+1)-dimensional Sawada-Kotera (2DSK) equat…
Soliton molecules in Sharma-Tasso-Olver-Burgers equation
Zhaowen Yan, Senyue Lou
Soliton molecules have been experimentally discovered in optics and theoretically investigated for coupled systems. This paper is concerned with the formation of soliton molecules…
Multi-place nonlocal systems
S. Y. Lou
Two-place nonlocal systems have attracted many scientists' attentions. In this paper, two-place non-localities are extended to multi-place non-localities. Especially, various two-p…
Prohibitions caused by nonlocality for Alice-Bob Boussinesq-KdV type systems
S. Y. Lou
It is found that two different celebrate models, the Korteweg de-Vrise (KdV) equation and the Boussinesq equation, are linked to a same model equation but with different nonlocalit…