A finite difference scheme for (2+1)D cubic-quintic nonlinear Schrödinger equations with nonlinear damping

Anh Ha Le, Toan T. Huynh, Quan M. Nguyen

Type: Article

Publication Date: 2024-07-24

Citations: 0

DOI: https://doi.org/10.1016/j.apnum.2024.07.008

View Publication

Download PDF

Locations

Applied Numerical Mathematics - View
arXiv (Cornell University) - View - PDF

Similar Works

Action	Title	Year	Authors
+	A meshfree method for the solution of two-dimensional cubic nonlinear Schrödinger equation	2013	S. Abbasbandy Hadi Roohani Ghehsareh Ishak Hashim
+	Theoretical study of the nonlinear cubic-quintic Schrodinger equation	1985	Sukhpal S. Sanghera
+	A linearized finite-difference scheme for the numerical solution of the nonlinear cubic Schrödinger equation	2001	A. G. Bratsos
+	A linearized finite-difference scheme for the numerical solution of the nonlinear cubic Schrödinger equation	2015	Αθανάσιος Γ. Μπράτσος
+	Dynamical behavior of the higher-order cubic-quintic nonlinear Schrödinger equation with stability analysis	2024	Tayyaba Younas Jamshad Ahmad
+	A finite-difference method for solving the cubic Schrödinger equation	1997	E. H. Twizell A. G. Bratsos J. C. Newby
+	A DIFFERENCE SCHEME FOR NONLINEAR SCHRDINGER EQUAION INVOKING QUINTIC TERM	2000	Lei Zhang
+	An efficient numerical technique for solution of two-dimensional cubic nonlinear Schrödinger equation with error analysis	2017	Elyas Shivanian Ahmad Jafarabadi
+	A New Difference Scheme for Nonlinear Schrodinger Equation Involving a Quintic Term	2009	Sheng Cao
+	An iterative method for solving cubic nonlinear Schrodinger equation	2017	Carlos Muñoz Pedro Pablo Cárdenas Álzate José Rodrigo González Granada
+	Alternating direction implicit method for solving two-dimensional cubic nonlinear Schrödinger equation	2012	Yiqiang Xu Luming Zhang
+ PDF Chat	On solving cubic-quartic nonlinear Schrödinger equation in a cnoidal trap	2020	Argha Debnath Ayan Khan
+	A semi-explicit multi-symplectic splitting scheme for a 3-coupled nonlinear Schrödinger equation	2014	Qian Xu Songhe Song Yaming Chen
+	A three-level linearized difference scheme for nonlinear Schrödinger equation with absorbing boundary conditions	2020	Kejia Pan Junyi Xia Dongdong He Qifeng Zhang
+	A quintic B-spline finite-element method for solving the nonlinear Schrödinger equation	2012	Bülent Saka
+	A linearly implicit structure-preserving Fourier pseudo-spectral scheme for the damped nonlinear Schrödinger equation in three dimensions	2020	Chaolong Jiang Yongzhong Song Yushun Wang
+	A Computational Study of Time Dependent Nonlinear Schrödinger Equation With Cubic Nonlinearity	2024	Amit Tripathi Rachna Bhatia Pratibha Joshi Anand Kumar Tiwari
+	A LOCAL ENERGY CONSERVATIVE SCHEME FOR THEFOURTH-ORDER SCHRÖDINGER EQUATION WITH CUBIC NONLINEAR TERM	2015	Chaoying Lin Huang Lang-yang Zhao Yue Zhu Beibei
+	Quintic B-spline collocation method for the generalized nonlinear Schrödinger equation	2010	Dursun Irk İdris Dağ
+	A FINITE DIFFERENCE SCHEME OF THREE LEVEL FOR A CLASS OF NON-SELF-ADJOINT AND NONLINEAR SCHRDINGER EQUATION	2002	L Zhang Feng Liu

Works That Cite This (0)

Action	Title	Year	Authors

Works Cited by This (30)

Action	Title	Year	Authors
+	Split-Step Methods for the Solution of the Nonlinear Schrödinger Equation	1986	J. A. C. Weideman B. M. Herbst
+	Uniform Error Estimates of Finite Difference Methods for the Nonlinear Schrödinger Equation with Wave Operator	2012	Weizhu Bao Yongyong Cai
+	A New Error Analysis of Crank–Nicolson Galerkin FEMs for a Generalized Nonlinear Schrödinger Equation	2013	Jilu Wang
+	Analytical and numerical aspects of certain nonlinear evolution equations. II. Numerical, nonlinear Schrödinger equation	1984	Thiab R. Taha Mark I Ablowitz
+	Convergence Analysis of High-Order Time-Splitting Pseudospectral Methods for Nonlinear Schrödinger Equations	2012	Mechthild Thalhammer
+	A Relaxation Scheme for the Nonlinear Schrödinger Equation	2004	Christophe Besse
+	Finite difference methods for an AKNS eigenproblem	1997	J. A. C. Weideman B. M. Herbst
+ PDF Chat	Methods for the numerical solution of the nonlinear Schroedinger equation	1984	J. M. Sanz‐Serna
+	Finite difference discretization of the cubic Schrödinger equation	1993	Georgios Akrivis
+	On fully discrete Galerkin methods of second-order temporal accuracy for the nonlinear Schr�dinger equation	1991	Georgios Akrivis Vassilios A. Dougalis Ohannes A. Karakashian