Finite difference scheme for a higher order nonlinear Schrödinger equation

Schrodinger Equation ◽

Higher Order ◽

On the conservative finite difference scheme for 2D nonlinear Schrödinger equation

Computer Physics Communications ◽

10.1016/s0010-4655(06)70082-0 ◽

1999 ◽

Vol 121-122 ◽

pp. 677

Author(s):

Yu.F. Kir'yanov ◽

M.L. Kudryavtseva ◽

M.V. Maslov ◽

I.V. Shestakova

Keyword(s):

Finite Difference ◽

Schrödinger Equation ◽

Difference Scheme ◽

Schrodinger Equation ◽

Conservative Finite Difference Scheme

Nonlinear Schrödinger ◽

A Linear Finite Difference Scheme for the Two-Dimensional Nonlinear Schrödinger Equation with Fractional Laplacian

Journal of Scientific Computing ◽

10.1007/s10915-021-01703-9 ◽

2021 ◽

Vol 90 (1) ◽

Author(s):

Yanyan Wang ◽

Zhaopeng Hao ◽

Rui Du

Keyword(s):

Finite Difference ◽

Schrödinger Equation ◽

Difference Scheme ◽

Schrodinger Equation ◽

Fractional Laplacian ◽

Two Dimensional ◽

Finite difference scheme for a high order nonlinear Schrodinger equation with localized damping

Studia Universitatis Babes-Bolyai Matematica ◽

10.24193/subbmath.2019.2.03 ◽

2019 ◽

Vol 64 (2) ◽

pp. 161-172

Author(s):

Marcelo M. Cavalcanti ◽

◽

Wellington J. Correa ◽

Mauricio A. Sepulveda C. ◽

Rodrigo Vejar Asem ◽

...

Keyword(s):

Finite Difference ◽

Schrödinger Equation ◽

Difference Scheme ◽

Schrodinger Equation ◽

High Order ◽

Nonlinear Schrödinger ◽

Localized Damping

A new finite difference scheme for a dissipative cubic nonlinear Schrödinger equation

Chinese Physics B ◽

10.1088/1674-1056/20/3/030204 ◽

2011 ◽

Vol 20 (3) ◽

pp. 030204 ◽

Cited By ~ 1

Author(s):

Rong-Pei Zhang ◽

Xi-Jun Yu ◽

Guo-Zhong Zhao

Keyword(s):

Finite Difference ◽

Schrödinger Equation ◽

Difference Scheme ◽

Schrodinger Equation ◽

Cubic Nonlinear Schrödinger Equation

Nonlinear Schrödinger ◽

A new high-order compact ADI finite difference scheme for solving 3D nonlinear Schrödinger equation

Advances in Difference Equations ◽

10.1186/s13662-018-1700-1 ◽

2018 ◽

Vol 2018 (1) ◽

Cited By ~ 1

Author(s):

Rena Eskar ◽

Pengzhan Huang ◽

Xinlong Feng

Keyword(s):

Finite Difference ◽

Schrödinger Equation ◽

Difference Scheme ◽

Schrodinger Equation ◽

High Order ◽

A compact finite difference scheme for the nonlinear Schrödinger equation with wave operator

Applied Mathematics and Computation ◽

10.1016/j.amc.2012.09.051 ◽

2012 ◽

Vol 219 (6) ◽

pp. 3187-3197 ◽

Cited By ~ 7

Author(s):

Xin Li ◽

Luming Zhang ◽

Shanshan Wang

Keyword(s):

Finite Difference ◽

Schrödinger Equation ◽

Difference Scheme ◽

Wave Operator ◽

Schrodinger Equation ◽

Compact Finite Difference Scheme ◽

Compact Finite Difference

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 ◽

Schrodinger Equation ◽

Higher Order ◽

Multi-rogue wave solutions for a generalized integrable discrete nonlinear Schrödinger equation with higher-order excitations

Nonlinear Dynamics ◽

10.1007/s11071-021-06578-x ◽

2021 ◽

Author(s):

Jun Yang ◽

Yan-Li Zhang ◽

Li-Yuan Ma

Keyword(s):

Schrödinger Equation ◽

Schrodinger Equation ◽

Rogue Wave ◽

Higher Order ◽

Discrete Nonlinear Schrödinger Equation ◽

Nonlinear Schrödinger ◽

Wave Solutions ◽

Rogue Wave Solutions

Optical soliton solutions to a higher-order nonlinear Schrödinger equation with Kerr law nonlinearity

Results in Physics ◽

10.1016/j.rinp.2021.104515 ◽

2021 ◽

pp. 104515

Author(s):

B. Günay

Keyword(s):

Schrödinger Equation ◽

Schrodinger Equation ◽

Soliton Solutions ◽

Higher Order ◽

Optical Soliton ◽

Nonlinear Schrödinger ◽

Kerr Law ◽

Kerr Law Nonlinearity

Almost general solution of the reduced higher-order nonlinear Schrödinger equation

Optik ◽

10.1016/j.ijleo.2021.166347 ◽

2021 ◽

Vol 230 ◽

pp. 166347 ◽

Cited By ~ 1

Author(s):

Nikolay A. Kudryashov

Keyword(s):

General Solution ◽

Schrödinger Equation ◽

Schrodinger Equation ◽

Higher Order ◽