Nonautonomous Matter-Wave Solitons in a Bose-Einstein Condensate with an External Potential

被引：17
|
作者：
Sun, Wen-Rong [1 ]
Tian, Bo
Liu, De-Yin
Xie, Xi-Yang
机构：
[1] Beijing Univ Posts & Telecommun, State Key Lab Informat Photon & Opt Commun, Beijing 100876, Peoples R China
来源：
JOURNAL OF THE PHYSICAL SOCIETY OF JAPAN | 2015年 / 84卷 / 07期
基金：
中国国家自然科学基金;
关键词：
SYMBOLIC COMPUTATION; ROGUE WAVES; EQUATIONS; PLASMA; SYSTEM; MODEL;
D O I：
10.7566/JPSJ.84.074003
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
Nonautonomous matter-wave solitons in a Bose-Einstein condensate with an external potential are reported. Via the non-isospectral Ablowitz-Kaup-Newell-Segur system, the Gross-Pitaevskii equation is found to have the double Wronskian solutions. The verification of such solutions is finished through some double Wronskian identities. With the zero-potential Lax pair, the double Wronskian solutions give the nonautonomous N-soliton solutions that contain 2N parameters. For characterizing the asymptotic behavior of the bright two-soliton solutions, the explicit expressions of asymptotic solitons are given. Effects of the linear and harmonic potentials on the bound states between two matter-wave solitons are discussed.
引用
收藏
页数：5
相关论文
共 50 条
  • [1] Matter-wave solitons in an F=1 spinor Bose-Einstein condensate
    Ieda, J
    Miyakawa, T
    Wadati, M
    [J]. JOURNAL OF THE PHYSICAL SOCIETY OF JAPAN, 2004, 73 (11) : 2996 - 3007
  • [2] Controlled nonautonomous matter-wave solitons in spinor Bose-Einstein condensates with spatiotemporal modulation
    Ding, Cui-Cui
    Zhou, Qin
    Xu, Si-Liu
    Sun, Yun-Zhou
    Liu, Wen-Jun
    Mihalache, Dumitru
    Malomed, Boris A.
    [J]. CHAOS SOLITONS & FRACTALS, 2023, 169
  • [3] Nonautonomous deformed solitons in a Bose-Einstein condensate
    Li Ze-Jun
    Hai Wen-Hua
    Deng Yan
    [J]. CHINESE PHYSICS B, 2013, 22 (09)
  • [4] Nonautonomous deformed solitons in a Bose-Einstein condensate
    李泽军
    海文华
    邓艳
    [J]. Chinese Physics B, 2013, 22 (09) : 339 - 345
  • [5] NONAUTONOMOUS DARK SOLITONS IN BOSE-EINSTEIN CONDENSATE
    Xie, Wei-Dong
    Ye, Fan
    He, Wanfen
    Feng, Shuo
    Zhang, Li
    [J]. MODERN PHYSICS LETTERS B, 2013, 27 (31):
  • [6] Matter-wave solitons in a spin-1 Bose-Einstein condensate with time-modulated external potential and scattering lengths
    Wang, Deng-Shan
    Shi, Yu-Ren
    Chow, Kwok Wing
    Yu, Zhao-Xian
    Li, Xiang-Gui
    [J]. EUROPEAN PHYSICAL JOURNAL D, 2013, 67 (11):
  • [7] Matter-wave solitons in a spin-1 Bose-Einstein condensate with time-modulated external potential and scattering lengths
    Deng-Shan Wang
    Yu-Ren Shi
    Kwok Wing Chow
    Zhao-Xian Yu
    Xiang-Gui Li
    [J]. The European Physical Journal D, 2013, 67
  • [8] Incoherent matter-wave solitons and pairing instability in an attractively interacting Bose-Einstein condensate
    Buljan, H
    Segev, M
    Vardi, A
    [J]. PHYSICAL REVIEW LETTERS, 2005, 95 (18)
  • [9] Dynamics of bright matter-wave solitons in a Bose-Einstein condensate with inhomogeneous scattering length
    Abdullaev, FK
    Gammal, A
    Tomio, L
    [J]. JOURNAL OF PHYSICS B-ATOMIC MOLECULAR AND OPTICAL PHYSICS, 2004, 37 (03) : 635 - 651
  • [10] The onset of matter-wave amplification in a superradiant Bose-Einstein condensate
    Schneble, D
    Torii, Y
    Boyd, M
    Streed, EW
    Pritchard, DE
    Ketterle, W
    [J]. SCIENCE, 2003, 300 (5618) : 475 - 478
12345