Exact solutions of the generalized nonlinear Schrodinger equation with time- and space-modulated coefficients
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作者:
Zhang, Xiao-Fei
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Honghe Univ, Coll Sci, Mengzi 661100, Peoples R China
Chinese Acad Sci, Inst Phys, Beijing 100190, Peoples R ChinaHonghe Univ, Coll Sci, Mengzi 661100, Peoples R China
Zhang, Xiao-Fei
[1
,2
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Wen, Lin
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机构:
Chinese Acad Sci, Inst Phys, Beijing 100190, Peoples R ChinaHonghe Univ, Coll Sci, Mengzi 661100, Peoples R China
Wen, Lin
[2
]
Luo, Xiao-Bing
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Jinggangshan Univ, Dept Phys, Jian 343009, Jiangxi, Peoples R ChinaHonghe Univ, Coll Sci, Mengzi 661100, Peoples R China
Luo, Xiao-Bing
[3
]
Xie, Zheng-Wei
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Sichuan Normal Univ, Coll Phys & Elect Engn, Chengdu 610066, Peoples R ChinaHonghe Univ, Coll Sci, Mengzi 661100, Peoples R China
Xie, Zheng-Wei
[4
]
机构:
[1] Honghe Univ, Coll Sci, Mengzi 661100, Peoples R China
[2] Chinese Acad Sci, Inst Phys, Beijing 100190, Peoples R China
[3] Jinggangshan Univ, Dept Phys, Jian 343009, Jiangxi, Peoples R China
[4] Sichuan Normal Univ, Coll Phys & Elect Engn, Chengdu 610066, Peoples R China
We present a class of exact solutions of the generalized nonlinear Schrodinger equation with time- and space-modulated coefficients, which describe the evolution of wavefunction in various types of external potentials including the harmonic and double-well potentials. The results show that there exist a general condition linking these distributed coefficients, under which the exact solutions can be obtained. Moreover, the evolution of such solutions can be effectively controlled by these distributed coefficients. (C) 2011 Elsevier B.V. All rights reserved.
机构:
Univ Castilla La Mancha, Escuela Tecn Super Ingn Ind, Dept Matemat, E-13071 Ciudad Real, Spain
Univ Castilla La Mancha, IMACI, E-13071 Ciudad Real, SpainUniv Castilla La Mancha, Escuela Tecn Super Ingn Ind, Dept Matemat, E-13071 Ciudad Real, Spain
Belmonte-Beitia, Juan
Perez-Garcia, Victor M.
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Univ Castilla La Mancha, Escuela Tecn Super Ingn Ind, Dept Matemat, E-13071 Ciudad Real, Spain
Univ Castilla La Mancha, IMACI, E-13071 Ciudad Real, SpainUniv Castilla La Mancha, Escuela Tecn Super Ingn Ind, Dept Matemat, E-13071 Ciudad Real, Spain
Perez-Garcia, Victor M.
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Vekslerchik, Vadym
Konotop, Vladimir V.
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机构:
Univ Lisbon, Ctr Fis Teor & Computac, P-1649003 Lisbon, Portugal
Univ Lisbon, Fac Ciencias, Dept Fis, P-1749016 Lisbon, PortugalUniv Castilla La Mancha, Escuela Tecn Super Ingn Ind, Dept Matemat, E-13071 Ciudad Real, Spain