Numerical studies of the cubic non-linear Schrodinger equation

Talaat S. El‐Danaf, Mohamed A. Ramadan, Faisal E.I. Abd Alaal

Type: Article

Publication Date: 2011-04-04

Citations: 16

DOI: https://doi.org/10.1007/s11071-011-0014-6

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Nonlinear Dynamics - View

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+	A differential quadrature algorithm for nonlinear Schrödinger equation	2008	Alper Korkmaz İdris Dağ
+	A class of methods based on non-polynomial sextic spline functions for the solution of a special fifth-order boundary-value problems	2005	Muhammad Azam Khan Sirajul Islam Ikram A. Tirmizi E. H. Twizell Saadat Ashraf
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+	A finite-difference method for solving the cubic Schrödinger equation	1997	E. H. Twizell A. G. Bratsos J. C. Newby
+	Analytical and numerical aspects of certain nonlinear evolution equations. II. Numerical, nonlinear Schrödinger equation	1984	Thiab R. Taha Mark I Ablowitz
+	A numerical study of the nonlinear Schrödinger equation	1984	David F. Griffiths A. R. Mitchell J. Morris
+	Polynomial and nonpolynomial spline approaches to the numerical solution of second order boundary value problems	2006	Mohamed A. Ramadan I.F. Lashien W. K. Zahra
+	Variational iteration method for solving cubic nonlinear Schrödinger equation	2006	N. H. Sweilam
+	A smooth approximation for the solution of a fourth-order boundary value problem based on nonpolynomial splines	1994	Maarten Van Daele G. Vanden Berghe H. De Meyer
+	Non polynomial spline approach to the solution of a system of third-order boundary-value problems	2004	Sirajul Islam Muhammad Azam Khan Ikram A. Tirmizi E. H. Twizell