Parallel solver for the time-dependent linear and nonlinear Schrödinger equation

Physical Review E ◽

10.1103/physreve.73.036708 ◽

2006 ◽

Vol 73 (3) ◽

Author(s):

Barry I. Schneider ◽

Lee A. Collins ◽

S. X. Hu

Keyword(s):

Schrödinger Equation ◽

Nonlinear Schrödinger Equation ◽

Schrodinger Equation ◽

Nonlinear Schrodinger Equation ◽

Time Dependent ◽

Parallel Solver ◽

Nonlinear Schrödinger ◽

Linear And Nonlinear

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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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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 ◽

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 ◽

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 ◽

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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Splitting of nonlinear-Schrödinger-equation breathers by linear and nonlinear localized potentials

Physical Review A ◽

10.1103/physreva.99.063623 ◽

2019 ◽

Vol 99 (6) ◽

Author(s):

Oleksandr V. Marchukov ◽

Boris A. Malomed ◽

Vladimir A. Yurovsky ◽

Maxim Olshanii ◽

Vanja Dunjko ◽

...

Keyword(s):

Schrödinger Equation ◽

Nonlinear Schrödinger Equation ◽

Schrodinger Equation ◽

Nonlinear Schrodinger Equation ◽

Nonlinear Schrödinger ◽

Linear And Nonlinear

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Local interpolatory cardinal spline (LICS) method in solving linear and nonlinear Schrodinger equation

IEEE Antennas and Propagation Society International Symposium. 1995 Digest ◽

10.1109/aps.1995.530136 ◽

2002 ◽

Author(s):

J.J. Chen ◽

J. Zha ◽

M. Du ◽

J.C. Goswami ◽

A.K. Chan ◽

...

Keyword(s):

Schrödinger Equation ◽

Nonlinear Schrödinger Equation ◽

Schrodinger Equation ◽

Nonlinear Schrodinger Equation ◽

Nonlinear Schrödinger ◽

Cardinal Spline ◽

Linear And Nonlinear

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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 ◽

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 ◽

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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) ◽

Author(s):

V. V. Konotop ◽

P. Pacciani

Keyword(s):

Schrödinger Equation ◽

Nonlinear Schrödinger Equation ◽

Schrodinger Equation ◽

Nonlinear Schrodinger Equation ◽

Time Dependent ◽

Nonlinear Schrödinger ◽

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New, Highly Accurate Propagator for the Linear and Nonlinear Schrödinger Equation

Journal of Scientific Computing ◽

10.1007/s10915-012-9583-x ◽

2012 ◽

Vol 53 (1) ◽

pp. 211-221 ◽

Author(s):

Hillel Tal-Ezer ◽

Ronnie Kosloff ◽

Ido Schaefer

Keyword(s):

Schrödinger Equation ◽

Nonlinear Schrödinger Equation ◽

Schrodinger Equation ◽

Nonlinear Schrodinger Equation ◽

Nonlinear Schrödinger ◽

Linear And Nonlinear

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Computer algebra, Painlevé analysis and the time-dependent-coefficient nonlinear Schrödinger equation

Computers & Mathematics with Applications ◽

10.1016/0898-1221(96)00068-5 ◽

1996 ◽

Vol 31 (11) ◽

pp. 115-119 ◽

Author(s):

Bo Tian ◽

Yi-Tian Gao

Keyword(s):

Schrödinger Equation ◽

Nonlinear Schrödinger Equation ◽

Computer Algebra ◽

Schrodinger Equation ◽

Nonlinear Schrodinger Equation ◽

Time Dependent ◽

Painlevé Analysis ◽

Nonlinear Schrödinger ◽

Painleve Analysis

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