Collocation Method for Numerical Solution of Coupled Nonlinear Schrodinger Equation

被引：0

作者：

Ismail, M. S. ^{[1
]}

机构：

[1] King Abdulaziz Univ, Coll Sci, Dept Math, Jeddah 21413, Saudi Arabia

来源：

NUMERICAL ANALYSIS AND APPLIED MATHEMATICS, VOLS I-III | 2010年 / 1281卷

关键词：

D O I：

10.1063/1.3498015

中图分类号：

T [工业技术];

学科分类号：

08 ;

摘要：

The coupled nonlinear Schrodinger equation models several interesting physical phenomena presents a model equation for optical fiber with linear birefringence. In this paper we use collocation method to solve this equation, we test this method for stability and accuracy. Numerical tests using single soliton and interaction of three solitons are used to test the resulting scheme.

引用

页码：1429 / 1432

页数：4

共 50 条

[1] Numerical solution of coupled nonlinear Schrodinger equation by Galerkin method
Ismail, M. S.
[J]. MATHEMATICS AND COMPUTERS IN SIMULATION, 2008, 78 (04) : 532 - 547
[2] Numerical Solutions of Coupled Nonlinear Schrodinger Equations by Orthogonal Spline Collocation Method
Meng, Qing-Jiang
Yin, Li-Ping
Jin, Xiao-Qing
Qiao, Fang-Li
[J]. COMMUNICATIONS IN COMPUTATIONAL PHYSICS, 2012, 12 (05) : 1392 - 1416
[3] Taylor collocation method for the numerical solution of the nonlinear Schrodinger equation using quintic B-spline basis
Aksoy, A. M.
Irk, D.
Dag, I.
[J]. PHYSICS OF WAVE PHENOMENA, 2012, 20 (01) : 67 - 79
[4] Cubic B-spline Galerkin method for numerical solution of the coupled nonlinear Schrodinger equation
Iqbal, Azhar
Abd Hamid, Nur Nadiah
Ismail, Ahmad Izani Md
[J]. MATHEMATICS AND COMPUTERS IN SIMULATION, 2020, 174 : 32 - 44
[5] Numerical simulation of coupled nonlinear Schrodinger equation
Ismail, MS
Taha, TR
[J]. MATHEMATICS AND COMPUTERS IN SIMULATION, 2001, 56 (06) : 547 - 562
[6] Numerical Solution of Nonlinear Schrodinger Equations by Collocation Method Using Radial Basis Functions
Haq, Sirajul
Siraj-Ul-Islam
Uddin, Marjan
[J]. CMES-COMPUTER MODELING IN ENGINEERING & SCIENCES, 2009, 44 (02): : 115 - 135
[7] A CHEBYSHEV SPECTRAL COLLOCATION METHOD FOR THE COUPLED NONLINEAR SCHRODINGER EQUATIONS
Rashid, Abdur
Ismail, Ahmad Izani Bin Md.
[J]. APPLIED AND COMPUTATIONAL MATHEMATICS, 2010, 9 (01) : 104 - 115
[8] Pfaffian solution for coupled discrete nonlinear Schrodinger equation
Ohta, Y
[J]. CHAOS SOLITONS & FRACTALS, 2000, 11 (1-3) : 91 - 95
[9] Numerical Solution of Coupled Burgers' Equation Using Finite Difference and Sinc Collocation Method
Wang, Linjun
Li, Honglei
Meng, Yiping
[J]. ENGINEERING LETTERS, 2021, 29 (02) : 668 - 674
[10] Numerical solution of the coupled Burgers equation by trigonometric B-spline collocation method
Ucar, Yusuf
Yagmurlu, Nuri Murat
Yigit, Mehmet Kerem
[J]. MATHEMATICAL METHODS IN THE APPLIED SCIENCES, 2023, 46 (05) : 6025 - 6041

← 1 2 3 4 5 →