Meshless symplectic and multi-symplectic local RBF collocation methods for nonlinear Schrödinger equation

Journal of Computational Physics ◽

10.1016/j.jcp.2021.110820 ◽

2021 ◽

pp. 110820

Author(s):

Shengliang Zhang

Keyword(s):

Schrödinger Equation ◽

Nonlinear Schrödinger Equation ◽

Schrodinger Equation ◽

Nonlinear Schrodinger Equation ◽

Collocation Methods ◽

Nonlinear Schrödinger

Download Full-text

Discrete-time orthogonal spline collocation methods for the nonlinear Schrödinger equation with wave operator

Journal of Computational and Applied Mathematics ◽

10.1016/j.cam.2010.09.025 ◽

2011 ◽

Vol 235 (8) ◽

pp. 1993-2005 ◽

Author(s):

Shanshan Wang ◽

Luming Zhang ◽

Ran Fan

Keyword(s):

Schrödinger Equation ◽

Nonlinear Schrödinger Equation ◽

Discrete Time ◽

Wave Operator ◽

Schrodinger Equation ◽

Nonlinear Schrodinger Equation ◽

Collocation Methods ◽

Spline Collocation ◽

Nonlinear Schrödinger ◽

Orthogonal Spline Collocation

Download Full-text

Nonlinear Schrödinger Equation-Based Adjoint Sensitivity Analysis

2020 International Applied Computational Electromagnetics Society Symposium (ACES) ◽

10.23919/aces49320.2020.9196096 ◽

2020 ◽

Author(s):

Mahmoud M. T. Maghrabi ◽

Mohamed H. Bakr ◽

Shiva Kumar

Keyword(s):

Sensitivity Analysis ◽

Schrödinger Equation ◽

Nonlinear Schrödinger Equation ◽

Schrodinger Equation ◽

Nonlinear Schrodinger Equation ◽

Adjoint Sensitivity Analysis ◽

Adjoint Sensitivity ◽

Nonlinear Schrödinger

Download Full-text

Higher-order nonlinear Schrödinger equation in 2D case

Tohoku Mathematical Journal ◽

10.2748/tmj/1585101619 ◽

2020 ◽

Vol 72 (1) ◽

pp. 15-37

Author(s):

Nakao Hayashi ◽

Pavel I. Naumkin

Keyword(s):

Schrödinger Equation ◽

Nonlinear Schrödinger Equation ◽

Schrodinger Equation ◽

Higher Order ◽

Nonlinear Schrodinger Equation ◽

Nonlinear Schrödinger

Download Full-text

Some properties of small perturbations against a stationary solution of the nonlinear Schrödinger equation

Chaos Solitons & Fractals ◽

10.1016/j.chaos.2019.109570 ◽

2020 ◽

Vol 132 ◽

pp. 109570

Author(s):

Mikhail N. Smolyakov

Keyword(s):

Schrödinger Equation ◽

Stationary Solution ◽

Nonlinear Schrödinger Equation ◽

Schrodinger Equation ◽

Nonlinear Schrodinger Equation ◽

Small Perturbations ◽

Nonlinear Schrödinger

Download Full-text

Integrable equations of the infinite nonlinear Schrödinger equation hierarchy with time variable coefficients

Chaos An Interdisciplinary Journal of Nonlinear Science ◽

10.1063/1.4931710 ◽

2015 ◽

Vol 25 (10) ◽

pp. 103114 ◽

Author(s):

D. J. Kedziora ◽

A. Ankiewicz ◽

A. Chowdury ◽

N. Akhmediev

Keyword(s):

Schrödinger Equation ◽

Nonlinear Schrödinger Equation ◽

Schrodinger Equation ◽

Variable Coefficients ◽

Nonlinear Schrodinger Equation ◽

Time Variable ◽

Integrable Equations ◽

Nonlinear Schrödinger

Download Full-text

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

Download Full-text

Rogue wave patterns in the nonlinear Schrödinger equation

Physica D Nonlinear Phenomena ◽

10.1016/j.physd.2021.132850 ◽

2021 ◽

Vol 419 ◽

pp. 132850

Author(s):

Bo Yang ◽

Jianke Yang

Keyword(s):

Schrödinger Equation ◽

Nonlinear Schrödinger Equation ◽

Schrodinger Equation ◽

Nonlinear Schrodinger Equation ◽

Nonlinear Schrödinger ◽

Download Full-text

Symmetry and Monotonicity of a Nonlinear Schrödinger Equation Involving the Fractional Laplacian

Bulletin of the Malaysian Mathematical Sciences Society ◽

10.1007/s40840-021-01158-z ◽

2021 ◽

Author(s):

Li Yuan ◽

Ping Li

Keyword(s):

Schrödinger Equation ◽

Nonlinear Schrödinger Equation ◽

Schrodinger Equation ◽

Fractional Laplacian ◽

Nonlinear Schrodinger Equation ◽

Nonlinear Schrödinger

Download Full-text

New soliton configurations for two different models related to the nonlinear Schrödinger equation through a graded-index waveguide

AIP Advances ◽

10.1063/5.0053565 ◽

2021 ◽

Vol 11 (6) ◽

pp. 065320

Author(s):

Hassan Almusawa ◽

Md. Nur Alam ◽

Md. Fayz-Al-Asad ◽

M. S. Osman

Keyword(s):

Schrödinger Equation ◽

Nonlinear Schrödinger Equation ◽

Schrodinger Equation ◽

Nonlinear Schrodinger Equation ◽

Nonlinear Schrödinger ◽

Download Full-text

Some novel analytical wave solutions to the nonlinear Schrödinger equation using two reliable methods

Results in Physics ◽

10.1016/j.rinp.2021.104562 ◽

2021 ◽

pp. 104562

Author(s):

B. GÜNAY

Keyword(s):

Schrödinger Equation ◽

Nonlinear Schrödinger Equation ◽

Schrodinger Equation ◽

Nonlinear Schrodinger Equation ◽

Nonlinear Schrödinger ◽

Wave Solutions ◽

Reliable Methods

Download Full-text