Rogue waves for a (2+1)-dimensional Gross–Pitaevskii equation with time-varying trapping potential in the Bose–Einstein condensate
作者: Xiao-Yu WuBo TianQi-Xing QuYu-Qiang YuanXia-Xia Du
作者单位: 1State Key Laboratory of Information Photonics and Optical Communications, and School of Science, Beijing University of Posts and Telecommunications, Beijing 100876, China
2School of Information, University of International Business and Economics, Beijing 100029, China
刊名: Computers and Mathematics with Applications, 2019
来源数据库: Elsevier Journal
DOI: 10.1016/j.camwa.2019.08.015
关键词: (2+1)-dimensional Gross–Pitaevskii equationBose–Einstein condensateRogue wavesKadomtsev–Petviashvili hierarchy reduction
原始语种摘要: Abstract(#br)The Bose–Einstein condensates (BECs) are seen during the studies in atomic optics, cavity opto-mechanics, cavity quantum electrodynamics, black-hole astrophysics, laser optics and atomtronics. Under investigation in this paper is a (2+1)-dimensional Gross–Pitaevskii equation with time-varying trapping potential which describes the dynamics of a (2+1)-dimensional BEC. Based on the Kadomtsev–Petviashvili hierarchy reduction, we construct the bilinear forms and the N th order rogue-wave solutions in terms of the Gramian. With the help of the analytic and graphic analysis, we exhibit the first- and second-order rogue waves under the influence of the strength of the interatomic interaction, α ( t ) , and of Ω ( t ) = ω R ̃ ∕ ω Z , where t is the scaled time, ω R ̃...
全文获取路径: Elsevier  (合作)
影响因子:2.069 (2012)

  • exponentially 按指数规律的
  • hierarchy 分级
  • dimensional 量纲的
  • condensate 冷凝物
  • equation 方程
  • potential 
  • Einstein 爱因斯坦
  • rogue 歹徒
  • periodically 周期地
  • varying 变化的