Numerical solution of nonlinear Schrödinger equation by using time-space pseudo-spectral method

Mehdi Dehghan; Ameneh Taleei

doi:10.1002/num.20468

Numerical solution of nonlinear Schrödinger equation by using time-space pseudo-spectral method

Numerical Methods for Partial Differential Equations ◽

10.1002/num.20468 ◽

2009 ◽

Vol 26 (4) ◽

pp. 979-992 ◽

Cited By ~ 29

Author(s):

Mehdi Dehghan ◽

Ameneh Taleei

Keyword(s):

Schrödinger Equation ◽

Numerical Solution ◽

Spectral Method ◽

Nonlinear Schrödinger Equation ◽

Schrodinger Equation ◽

Nonlinear Schrodinger Equation ◽

Nonlinear Schrödinger ◽

Time Space ◽

Pseudo Spectral Method ◽

Pseudo Spectral

Download Full-text

Fourth-order split-step pseudo-spectral method for the modified nonlinear Schrödinger equation

Ships and Offshore Structures ◽

10.1080/17445302.2016.1172832 ◽

2016 ◽

Vol 12 (3) ◽

pp. 424-432 ◽

Cited By ~ 1

Author(s):

Wenyue Lu ◽

Jianmin Yang ◽

Xinliang Tian

Keyword(s):

Schrödinger Equation ◽

Spectral Method ◽

Nonlinear Schrödinger Equation ◽

Fourth Order ◽

Schrodinger Equation ◽

Nonlinear Schrodinger Equation ◽

Nonlinear Schrödinger ◽

Pseudo Spectral Method ◽

Pseudo Spectral

Download Full-text

A conservative Fourier pseudo-spectral method for the nonlinear Schrödinger equation

Journal of Computational Physics ◽

10.1016/j.jcp.2016.10.022 ◽

2017 ◽

Vol 328 ◽

pp. 354-370 ◽

Cited By ~ 41

Author(s):

Yuezheng Gong ◽

Qi Wang ◽

Yushun Wang ◽

Jiaxiang Cai

Keyword(s):

Schrödinger Equation ◽

Spectral Method ◽

Nonlinear Schrödinger Equation ◽

Schrodinger Equation ◽

Nonlinear Schrodinger Equation ◽

Nonlinear Schrödinger ◽

Pseudo Spectral Method ◽

Pseudo Spectral

Download Full-text

An efficient and accurate Fourier pseudo-spectral method for the nonlinear Schrödinger equation with wave operator

International Journal of Computer Mathematics ◽

10.1080/00207160.2020.1745785 ◽

2020 ◽

pp. 1-17

Author(s):

Shan Li ◽

Tingchun Wang ◽

Jialing Wang ◽

Boling Guo

Keyword(s):

Schrödinger Equation ◽

Spectral Method ◽

Nonlinear Schrödinger Equation ◽

Wave Operator ◽

Schrodinger Equation ◽

Nonlinear Schrodinger Equation ◽

Nonlinear Schrödinger ◽

Pseudo Spectral Method ◽

Pseudo Spectral

Download Full-text

On the L ∞ convergence of a conservative Fourier pseudo‐spectral method for the space fractional nonlinear Schrödinger equation

Numerical Methods for Partial Differential Equations ◽

10.1002/num.22599 ◽

2020 ◽

Author(s):

Zhuangzhi Xu ◽

Wenjun Cai ◽

Chaolong Jiang ◽

Yushun Wang

Keyword(s):

Schrödinger Equation ◽

Spectral Method ◽

Nonlinear Schrödinger Equation ◽

Schrodinger Equation ◽

Nonlinear Schrodinger Equation ◽

Nonlinear Schrödinger ◽

Pseudo Spectral Method ◽

Pseudo Spectral ◽

Fractional Nonlinear Schrödinger Equation

Download Full-text

Integrable discretization of nonlinear Schrödinger equation and its application with Fourier pseudo-spectral method

Numerical Algorithms ◽

10.1007/s11075-014-9928-7 ◽

2014 ◽

Vol 69 (4) ◽

pp. 839-862 ◽

Cited By ~ 1

Author(s):

Y. Zhang ◽

X. B. Hu ◽

H. W. Tam

Keyword(s):

Schrödinger Equation ◽

Spectral Method ◽

Nonlinear Schrödinger Equation ◽

Schrodinger Equation ◽

Nonlinear Schrodinger Equation ◽

Nonlinear Schrödinger ◽

Integrable Discretization ◽

Pseudo Spectral Method ◽

Pseudo Spectral

Download Full-text

Optimal error estimate of a conformal Fourier pseudo-spectral method for the damped nonlinear Schrödinger equation

Numerical Methods for Partial Differential Equations ◽

10.1002/num.22264 ◽

2018 ◽

Vol 34 (4) ◽

pp. 1422-1454 ◽

Cited By ~ 5

Author(s):

Chaolong Jiang ◽

Wenjun Cai ◽

Yushun Wang

Keyword(s):

Schrödinger Equation ◽

Error Estimate ◽

Spectral Method ◽

Nonlinear Schrödinger Equation ◽

Schrodinger Equation ◽

Nonlinear Schrodinger Equation ◽

Optimal Error Estimate ◽

Optimal Error ◽

Pseudo Spectral Method ◽

Pseudo Spectral

Download Full-text

Numerical solution of the stationary multicomponent nonlinear Schrödinger equation with a constraint on the angular momentum

Physical Review E ◽

10.1103/physreve.93.033301 ◽

2016 ◽

Vol 93 (3) ◽

Cited By ~ 11

Author(s):

Patrik Sandin ◽

Magnus Ögren ◽

Mårten Gulliksson

Keyword(s):

Angular Momentum ◽

Schrödinger Equation ◽

Numerical Solution ◽

Nonlinear Schrödinger Equation ◽

Schrodinger Equation ◽

Nonlinear Schrodinger Equation ◽

Nonlinear Schrödinger ◽

Multicomponent Nonlinear Schrödinger Equation

Download Full-text

Analysis of a Chebyshev-type pseudo-spectral scheme for the nonlinear Schrödinger equation

Applied Mathematics and Computation ◽

10.1016/j.amc.2017.03.005 ◽

2017 ◽

Vol 307 ◽

pp. 271-289 ◽

Cited By ~ 1

Author(s):

Sergey Shindin ◽

Nabendra Parumasur ◽

Saieshan Govinder

Keyword(s):

Schrödinger Equation ◽

Nonlinear Schrödinger Equation ◽

Schrodinger Equation ◽

Nonlinear Schrodinger Equation ◽

Nonlinear Schrödinger ◽

Pseudo Spectral

Download Full-text

Numerical solution of coupled nonlinear Schrödinger equation by Galerkin method

Mathematics and Computers in Simulation ◽

10.1016/j.matcom.2007.07.003 ◽

2008 ◽

Vol 78 (4) ◽

pp. 532-547 ◽

Cited By ~ 45

Author(s):

M.S. Ismail

Keyword(s):

Schrödinger Equation ◽

Galerkin Method ◽

Numerical Solution ◽

Nonlinear Schrödinger Equation ◽

Schrodinger Equation ◽

Nonlinear Schrodinger Equation ◽

Nonlinear Schrödinger ◽

Coupled Nonlinear Schrödinger Equation

Download Full-text

Numerical Solution of the Extended Nonlinear Schrodinger Equation

10.21236/ada463325 ◽

2006 ◽

Author(s):

John V. Harvey ◽

JR Medina ◽

Richard L.

Keyword(s):

Schrödinger Equation ◽

Numerical Solution ◽

Nonlinear Schrödinger Equation ◽

Schrodinger Equation ◽

Nonlinear Schrodinger Equation ◽

Nonlinear Schrödinger

Download Full-text