Variational iteration method for solving cubic nonlinear Schrodinger equation

被引：28
|
作者：
Sweilam, N. H. [1 ]
机构：
[1] Cairo Univ, Fac Sci, Dept Math, Giza, Egypt
来源：
JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS | 2007年 / 207卷 / 01期
关键词：
cubic nonlinear schrodinger equation; variational iteration method;
D O I：
10.1016/j.cam.2006.07.023
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
The variational iteration method is applied to solve the cubic nonlinear Schrodinger (CNLS) equation in one and two space variables. In both cases, we will reduce the CNLS equation to a coupled system of nonlinear equations. Numerical experiments are made to verify the efficiency of the method. Comparison with the theoretical solution shows that the variational iteration method is of high accuracy. (C) 2006 Elsevier B.V. All rights reserved.
引用
收藏
页码：155 / 163
页数：9
相关论文
共 50 条
  • [21] Alternating direction implicit method for solving two-dimensional cubic nonlinear Schrodinger equation
    Xu, Yiqiang
    Zhang, Luming
    COMPUTER PHYSICS COMMUNICATIONS, 2012, 183 (05) : 1082 - 1093
  • [22] On solving cubic-quartic nonlinear Schrodinger equation in a cnoidal trap
    Debnath, Argha
    Khan, Ayan
    EUROPEAN PHYSICAL JOURNAL D, 2020, 74 (09):
  • [23] Modified variational iteration method and its convergence analysis for solving nonlinear aggregation population balance equation
    Yadav, Sonia
    Singh, Mehakpreet
    Singh, Sukhjit
    Heinrich, Stefan
    Kumar, Jitendra
    COMPUTERS & FLUIDS, 2024, 274
  • [24] Modified variational iteration method and its convergence analysis for solving nonlinear aggregation population balance equation
    Yadav, Sonia
    Singh, Mehakpreet
    Singh, Sukhjit
    Heinrich, Stefan
    Kumar, Jitendra
    Computers and Fluids, 2024, 274
  • [25] Solving nonlinear Schrodinger equation by a new and fast method
    Safaei, Abolfazl
    Bolorizadeh, Mohammad Agha
    PHYSICA SCRIPTA, 2021, 96 (12)
  • [26] The variational-iteration method to solve the nonlinear Boltzmann equation
    Abulwafa, Essam M.
    Abdou, Mohammed A.
    Mahmoud, Aber H.
    ZEITSCHRIFT FUR NATURFORSCHUNG SECTION A-A JOURNAL OF PHYSICAL SCIENCES, 2008, 63 (3-4): : 131 - 139
  • [27] Variational Iteration Method and Sumudu Transform for Solving Delay Differential Equation
    Vilu, Subashini
    Ahmad, Rokiah Rozita
    Din, Ummul Khair Salma
    INTERNATIONAL JOURNAL OF DIFFERENTIAL EQUATIONS, 2019, 2019
  • [28] Variational iteration method for solving the multi-pantograph delay equation
    Yu, Zhan-Hua
    PHYSICS LETTERS A, 2008, 372 (43) : 6475 - 6479
  • [29] Variational Iteration Method for Solving the Generalized Degasperis-Procesi Equation
    Qian Lijuan
    Tian Lixin
    Ma Kaiping
    ABSTRACT AND APPLIED ANALYSIS, 2014,
  • [30] SOLVING NONLINEAR SCHRODINGER EQUATION
    Bayramova, Nigar
    PROCEEDINGS OF THE7TH INTERNATIONAL CONFERENCE ON CONTROL AND OPTIMIZATION WITH INDUSTRIAL APPLICATIONS, VOL II, 2020, : 119 - 121
12345