Cubic B-spline Galerkin method for numerical solution of the coupled nonlinear Schrödinger equation

Mathematics and Computers in Simulation ◽

10.1016/j.matcom.2020.02.017 ◽

2020 ◽

Vol 174 ◽

pp. 32-44

Author(s):

Azhar Iqbal ◽

Nur Nadiah Abd Hamid ◽

Ahmad Izani Md. Ismail

Keyword(s):

Schrödinger Equation ◽

Galerkin Method ◽

Numerical Solution ◽

Nonlinear Schrödinger Equation ◽

Schrodinger Equation ◽

Nonlinear Schrodinger Equation ◽

B Spline ◽

Nonlinear Schrödinger ◽

Coupled Nonlinear Schrödinger Equation

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

Taylor collocation method for the numerical solution of the nonlinear Schrödinger equation using quintic B-spline basis

Physics of Wave Phenomena ◽

10.3103/s1541308x12010086 ◽

2012 ◽

Vol 20 (1) ◽

pp. 67-79 ◽

Cited By ~ 7

Author(s):

A. M. Aksoy ◽

D. Irk ◽

I. Dag

Keyword(s):

Schrödinger Equation ◽

Numerical Solution ◽

Collocation Method ◽

Nonlinear Schrödinger Equation ◽

Schrodinger Equation ◽

Nonlinear Schrodinger Equation ◽

B Spline ◽

Nonlinear Schrödinger ◽

Spline Basis

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

A Coupled Nonlinear Schrödinger Equation and Optical Solitons

Journal of the Physical Society of Japan ◽

10.1143/jpsj.61.2241 ◽

1992 ◽

Vol 61 (7) ◽

pp. 2241-2245 ◽

Cited By ~ 63

Author(s):

Miki Wadati ◽

Takeshi Iizuka ◽

Masato Hisakado

Keyword(s):

Schrödinger Equation ◽

Nonlinear Schrödinger Equation ◽

Schrodinger Equation ◽

Optical Solitons ◽

Nonlinear Schrodinger Equation ◽

Nonlinear Schrödinger ◽

Coupled Nonlinear Schrödinger Equation

Soliton solutions, soliton-type solutions and rational solutions for the coupled nonlinear Schrödinger equation in magneto-optic waveguides

The European Physical Journal Plus ◽

10.1140/epjp/s13360-021-01113-8 ◽

2021 ◽

Vol 136 (2) ◽

Author(s):

Muhammad Bilal Riaz ◽

Abdon Atangana ◽

Adil Jhangeer ◽

Sana Tahir

Keyword(s):

Schrödinger Equation ◽

Nonlinear Schrödinger Equation ◽

Schrodinger Equation ◽

Soliton Solutions ◽

Nonlinear Schrodinger Equation ◽

Rational Solutions ◽

Nonlinear Schrödinger ◽

Coupled Nonlinear Schrödinger Equation ◽

Magneto Optic

Characteristics of Rogue Waves on a Soliton Background in the General Coupled Nonlinear Schrödinger Equation

Communications in Theoretical Physics ◽

10.1088/0253-6102/71/2/152 ◽

2019 ◽

Vol 71 (2) ◽

pp. 152 ◽

Cited By ~ 7

Author(s):

Xiu-Bin Wang ◽

Bo Han

Keyword(s):

Schrödinger Equation ◽

Nonlinear Schrödinger Equation ◽

Schrodinger Equation ◽

Rogue Waves ◽

Nonlinear Schrodinger Equation ◽

Nonlinear Schrödinger ◽

Coupled Nonlinear Schrödinger Equation

Scalar and vector crossed breather-pair and their controlling excitations of a coupled nonlinear Schrödinger equation with partially nonlocal property in an external potential

Optik ◽

10.1016/j.ijleo.2020.165963 ◽

2021 ◽

Vol 226 ◽

pp. 165963

Author(s):

Jing Yang ◽

Yu Zhu ◽

Wei Qin ◽

Shaohui Wang ◽

Jitao Li

Keyword(s):

Schrödinger Equation ◽

Nonlinear Schrödinger Equation ◽

Schrodinger Equation ◽

Nonlinear Schrodinger Equation ◽

External Potential ◽

Nonlinear Schrödinger ◽

Coupled Nonlinear Schrödinger Equation

Optical solitons and modulation instability analysis of the (1 + 1)-dimensional coupled nonlinear Schrödinger equation

Communications in Theoretical Physics ◽

10.1088/1572-9494/ab617e ◽

2020 ◽

Vol 72 (2) ◽

pp. 025003 ◽

Cited By ~ 3

Author(s):

Tukur Abdulkadir Sulaiman ◽

Hasan Bulut

Keyword(s):

Schrödinger Equation ◽

Nonlinear Schrödinger Equation ◽

Schrodinger Equation ◽

Modulation Instability ◽

Optical Solitons ◽

Nonlinear Schrodinger Equation ◽

Instability Analysis ◽

Nonlinear Schrödinger ◽

Coupled Nonlinear Schrödinger Equation

Dynamics of vector dark solitons propagation and tunneling effect in the variable coefficient coupled nonlinear Schrödinger equation

Chaos An Interdisciplinary Journal of Nonlinear Science ◽

10.1063/1.4976514 ◽

2017 ◽

Vol 27 (2) ◽

pp. 023113 ◽

Cited By ~ 4

Author(s):

N. M. Musammil ◽

K. Porsezian ◽

P. A. Subha ◽

K. Nithyanandan

Keyword(s):

Schrödinger Equation ◽

Nonlinear Schrödinger Equation ◽

Variable Coefficient ◽

Schrodinger Equation ◽

Nonlinear Schrodinger Equation ◽

Tunneling Effect ◽

Nonlinear Schrödinger ◽

Dark Solitons ◽

Coupled Nonlinear Schrödinger Equation

A linearly implicit conservative scheme for the coupled nonlinear Schrödinger equation

Mathematics and Computers in Simulation ◽

10.1016/j.matcom.2006.10.020 ◽

2007 ◽

Vol 74 (4-5) ◽

pp. 302-311 ◽

Cited By ~ 50

Author(s):

M.S. Ismail ◽

Thiab R. Taha

Keyword(s):

Schrödinger Equation ◽

Nonlinear Schrödinger Equation ◽

Schrodinger Equation ◽

Nonlinear Schrodinger Equation ◽

Conservative Scheme ◽

Nonlinear Schrödinger ◽

Coupled Nonlinear Schrödinger Equation