The effect of multiplicative noise on the exact solutions of nonlinear Schrodinger equation

被引：53
|
作者：
Abdelrahman, Mahmoud A. E. [1 ,3 ]
Mohammed, Wael W. [2 ,3 ]
Alesemi, Meshari [4 ]
Albosaily, Sahar [2 ]
机构：
[1] Taibah Univ, Dept Math, Coll Sci, Al Madinah Al Munawarah, Saudi Arabia
[2] Univ Hail, Fac Sci, Dept Math, Hail, Saudi Arabia
[3] Mansoura Univ, Dept Math, Fac Sci, Mansoura 35516, Egypt
[4] Jazan Univ, Dept Math, Fac Sci, Jazan, Saudi Arabia
来源：
AIMS MATHEMATICS | 2021年 / 6卷 / 03期
关键词：
stochastic Schrodinger equation; multiplicative noise; exact solutions; sine-cosine method; Riccati-Bernoulli sub-ODE; SINE-COSINE METHOD; CONSERVATION-LAWS; SCHEME;
D O I：
10.3934/math.2021180
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We consider in this paper the stochastic nonlinear Schrodinger equation forced by multiplicative noise in the Ito sense. We use two different methods as sine-cosine method and Riccati-Bernoulli sub-ODE method to obtain new rational, trigonometric and hyperbolic stochastic solutions. These stochastic solutions are of a qualitatively distinct nature based on the parameters. Moreover, the effect of the multiplicative noise on the solutions of nonlinear Schrodinger equation will be discussed. Finally, two and three-dimensional graphs for some solutions have been given to support our analysis.
引用
收藏
页码：2970 / 2980
页数：11
相关论文
共 50 条
  • [1] The exact solutions for the nonlinear Schrodinger equation forced by multiplicative noise on Ito sense
    Mohammed, W. W.
    Abdelrahman, M. A. E.
    Boulares, H.
    Khelifi, F.
    Elabbasy, E. M.
    Aly, E. S.
    [J]. INTERNATIONAL JOURNAL OF MATHEMATICS AND COMPUTER SCIENCE, 2021, 16 (04): : 1147 - 1159
  • [2] A stochastic nonlinear Schrodinger equation with multiplicative noise
    de Bouard, A
    Debussche, A
    [J]. COMMUNICATIONS IN MATHEMATICAL PHYSICS, 1999, 205 (01) : 161 - 181
  • [3] The effect of multiplicative noise on the exact solutions of the stochastic Burgers' equation
    Mohammed, W. W.
    Albosaily, S.
    Iqbal, N.
    El-Morshedy, M.
    [J]. WAVES IN RANDOM AND COMPLEX MEDIA, 2021,
  • [4] Exact Solutions to the Nonlinear Schrodinger Equation
    Aktosun, Tuncay
    Busse, Theresa
    Demontis, Francesco
    van der Mee, Cornelis
    [J]. TOPICS IN OPERATOR THEORY, VOL 2: SYSTEMS AND MATHEMATICAL PHYSICS, 2010, 203 : 1 - +
  • [5] A Family of Exact Solutions for the Nonlinear Schrodinger Equation
    HUANG De bin
    [J]. Advances in Manufacturing, 2001, (04) : 273 - 275
  • [6] Exact solutions of a generalized nonlinear Schrodinger equation
    Zhang, Shaowu
    Yi, Lin
    [J]. PHYSICAL REVIEW E, 2008, 78 (02):
  • [7] Exact solutions of a nonlocal nonlinear Schrodinger equation
    Gao, Hui
    Xu, Tianzhou
    Yang, Shaojie
    Wang, Gangwei
    [J]. OPTOELECTRONICS AND ADVANCED MATERIALS-RAPID COMMUNICATIONS, 2016, 10 (9-10): : 651 - 657
  • [8] The exact solutions for a nonisospectral nonlinear Schrodinger equation
    Ning, Tong-ke
    Zhang, Weiguo
    Jia, Gao
    [J]. CHAOS SOLITONS & FRACTALS, 2009, 42 (02) : 1100 - 1105
  • [9] Exact solutions of a nonpolynomially nonlinear Schrodinger equation
    Parwani, R.
    Tan, H. S.
    [J]. PHYSICS LETTERS A, 2007, 363 (03) : 197 - 201
  • [10] Exact solutions to the focusing nonlinear Schrodinger equation
    Aktosun, Tuncay
    Demontis, Francesco
    van der Mee, Cornelis
    [J]. INVERSE PROBLEMS, 2007, 23 (05) : 2171 - 2195
12345