Parametric resonance for solitons in the nonlinear Schrödinger equation model with time-dependent harmonic oscillator potential

C. Hernandez-Tenorio; T.L. Belyaeva; V.N. Serkin

doi:10.1016/j.physb.2007.04.060

Parametric resonance for solitons in the nonlinear Schrödinger equation model with time-dependent harmonic oscillator potential

Physica B Condensed Matter ◽

10.1016/j.physb.2007.04.060 ◽

2007 ◽

Vol 398 (2) ◽

pp. 460-463 ◽

Cited By ~ 27

Author(s):

C. Hernandez-Tenorio ◽

T.L. Belyaeva ◽

V.N. Serkin

Keyword(s):

Schrödinger Equation ◽

Harmonic Oscillator ◽

Nonlinear Schrödinger Equation ◽

Parametric Resonance ◽

Schrodinger Equation ◽

Equation Model ◽

Nonlinear Schrodinger Equation ◽

Time Dependent ◽

Oscillator Potential ◽

Harmonic Oscillator Potential

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Lie Symmetry Analysis of the Nonlinear Schrödinger Equation with Time Dependent Variable Coefficients

International Journal of Applied and Computational Mathematics ◽

10.1007/s40819-021-00953-3 ◽

2021 ◽

Vol 7 (1) ◽

Author(s):

Preeti Devi ◽

K. Singh

Keyword(s):

Schrödinger Equation ◽

Nonlinear Schrödinger Equation ◽

Schrodinger Equation ◽

Variable Coefficients ◽

Lie Symmetry ◽

Nonlinear Schrodinger Equation ◽

Symmetry Analysis ◽

Time Dependent ◽

Lie Symmetry Analysis ◽

Nonlinear Schrödinger

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A Nonlinear Schrödinger Equation Model of the Intraseasonal Oscillation

Journal of the Atmospheric Sciences ◽

10.1175/1520-0469(2000)057<2435:ansdem>2.0.co;2 ◽

2000 ◽

Vol 57 (15) ◽

pp. 2435-2444 ◽

Cited By ~ 4

Author(s):

Jiansheng Zou ◽

Han-Ru Cho

Keyword(s):

Schrödinger Equation ◽

Nonlinear Schrödinger Equation ◽

Schrodinger Equation ◽

Intraseasonal Oscillation ◽

Equation Model ◽

Nonlinear Schrodinger Equation ◽

Nonlinear Schrödinger

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Hirota method for the nonlinear Schrödinger equation with an arbitrary linear time-dependent potential

Annals of Physics ◽

10.1016/j.aop.2006.11.012 ◽

2007 ◽

Vol 322 (11) ◽

pp. 2545-2553 ◽

Cited By ~ 33

Author(s):

Zai-Dong Li ◽

Qiu-Yan Li ◽

Xing-Hua Hu ◽

Zhong-Xi Zheng ◽

Yubao Sun

Keyword(s):

Schrödinger Equation ◽

Nonlinear Schrödinger Equation ◽

Schrodinger Equation ◽

Linear Time ◽

Nonlinear Schrodinger Equation ◽

Hirota Method ◽

Time Dependent ◽

Nonlinear Schrödinger ◽

Dependent Potential

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Conservation laws, bright matter wave solitons and modulational instability of nonlinear Schrödinger equation with time-dependent nonlinearity

Communications in Nonlinear Science and Numerical Simulation ◽

10.1016/j.cnsns.2011.12.009 ◽

2012 ◽

Vol 17 (8) ◽

pp. 3247-3257 ◽

Cited By ~ 19

Author(s):

Shou-Fu Tian ◽

Li Zou ◽

Qi Ding ◽

Hong-Qing Zhang

Keyword(s):

Schrödinger Equation ◽

Conservation Laws ◽

Nonlinear Schrödinger Equation ◽

Schrodinger Equation ◽

Modulational Instability ◽

Nonlinear Schrodinger Equation ◽

Time Dependent ◽

Matter Wave ◽

Nonlinear Schrödinger

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Time-dependent solution of the nonlinear Schrödinger equation for Bose-condensed trapped neutral atoms

Physical Review A ◽

10.1103/physreva.51.4704 ◽

1995 ◽

Vol 51 (6) ◽

pp. 4704-4711 ◽

Cited By ~ 458

Author(s):

P. A. Ruprecht ◽

M. J. Holland ◽

K. Burnett ◽

Mark Edwards

Keyword(s):

Schrödinger Equation ◽

Nonlinear Schrödinger Equation ◽

Schrodinger Equation ◽

Nonlinear Schrodinger Equation ◽

Time Dependent ◽

Neutral Atoms ◽

Nonlinear Schrödinger ◽

Time Dependent Solution

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Integrability conditions and solitonic solutions of the nonlinear Schrödinger equation with generalized dual-power nonlinearities, PT-symmetric potentials, and space- and time-dependent coefficients

Communications in Nonlinear Science and Numerical Simulation ◽

10.1016/j.cnsns.2018.07.015 ◽

2019 ◽

Vol 69 ◽

pp. 248-260 ◽

Cited By ~ 3

Author(s):

U. Al Khawaja ◽

H. Bahlouli

Keyword(s):

Schrödinger Equation ◽

Nonlinear Schrödinger Equation ◽

Schrodinger Equation ◽

Nonlinear Schrodinger Equation ◽

Time Dependent ◽

Nonlinear Schrödinger ◽

Space And Time ◽

Integrability Conditions ◽

Dual Power

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Collapse of Solutions of the Nonlinear Schrödinger Equation with a Time-Dependent Nonlinearity: Application to Bose-Einstein Condensates

Physical Review Letters ◽

10.1103/physrevlett.94.240405 ◽

2005 ◽

Vol 94 (24) ◽

Cited By ~ 52

Author(s):

V. V. Konotop ◽

P. Pacciani

Keyword(s):

Schrödinger Equation ◽

Nonlinear Schrödinger Equation ◽

Schrodinger Equation ◽

Nonlinear Schrodinger Equation ◽

Time Dependent ◽

Nonlinear Schrödinger ◽

Bose Einstein

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Airy–Bessel modulated self-similar rogue waves in a nonlinear Schrödinger equation model

Journal of Modern Optics ◽

10.1080/09500340.2014.961985 ◽

2014 ◽

Vol 62 (2) ◽

pp. 135-142

Author(s):

Kanchan Kumar De ◽

Harleen Kaur ◽

Amit Goyal ◽

C.N. Kumar ◽

Thokala Soloman Raju

Keyword(s):

Schrödinger Equation ◽

Nonlinear Schrödinger Equation ◽

Schrodinger Equation ◽

Rogue Waves ◽

Equation Model ◽

Nonlinear Schrodinger Equation ◽

Nonlinear Schrödinger ◽

Self Similar

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Nonlinear Schrödinger-Equation Model of The Oscillating Two-Stream Instability.

Physical Review Letters ◽

10.1103/physrevlett.32.696 ◽

1974 ◽

Vol 32 (12) ◽

pp. 696-696

Author(s):

G. J. Morales ◽

Y. C. Lee ◽

R. B. White

Keyword(s):

Schrödinger Equation ◽

Nonlinear Schrödinger Equation ◽

Schrodinger Equation ◽

Equation Model ◽

Nonlinear Schrodinger Equation ◽

Nonlinear Schrödinger ◽

Stream Instability

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Analytical study of the nonlinear Schrödinger equation with an arbitrary linear time-dependent potential in quasi-one-dimensional Bose–Einstein condensates

Annals of Physics ◽

10.1016/j.aop.2008.04.008 ◽

2008 ◽

Vol 323 (10) ◽

pp. 2554-2565 ◽

Cited By ~ 46

Author(s):

Xing Lü ◽

Bo Tian ◽

Tao Xu ◽

Ke-Jie Cai ◽

Wen-Jun Liu

Keyword(s):

Schrödinger Equation ◽

Nonlinear Schrödinger Equation ◽

Schrodinger Equation ◽

Analytical Study ◽

Linear Time ◽

Nonlinear Schrodinger Equation ◽

Time Dependent ◽

One Dimensional ◽

Dependent Potential ◽

Bose Einstein

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