VARIATIONAL APPROACH TO THE BRIGHT-SOLITON OF THE FOURTH ORDER NONLINEAR SCHRODINGER EQUATION WITH CUBIC NONLINEARITY

被引：1
|
作者：
Zhang, Wei-Min [1 ]
机构：
[1] Jiaying Univ, Sch Math, Meizhou 514015, Guangdong, Peoples R China
来源：
INTERNATIONAL JOURNAL OF MODERN PHYSICS B | 2012年 / 26卷 / 26期
关键词：
He's semi-inverse method; variational principle; the fourth order nonlinear Schrodinger equations with cubic nonlinearity; bright-soliton;
D O I：
10.1142/S0217979212501470
中图分类号：
O59 [应用物理学];
学科分类号：
摘要：
Via He's semi-inverse method, variational principles are established for the fourth order nonlinear Schrodinger equation with cubic nonlinearity. Based on the obtained variational formulations, a bright-soliton solution can be obtained using He's variational method.
引用
收藏
页数：6
相关论文
共 50 条
  • [1] Approximate bright-soliton solution of the higher-order nonlinear Schrodinger equation
    Meng, De-Xin
    Hu, Ming-Yu
    Xu, Tao
    [J]. EUROPEAN JOURNAL OF PHYSICS, 2021, 42 (01)
  • [2] Exact soliton solution for the fourth-order nonlinear Schrodinger equation with generalized cubic-quintic nonlinearity
    Wang, Ying
    Li, Shaohong
    Guo, Jiyuan
    Zhou, Yu
    Zhou, Qingchun
    Zhou, Shuyu
    Zhang, Yongsheng
    [J]. MATHEMATICAL METHODS IN THE APPLIED SCIENCES, 2016, 39 (18) : 5770 - 5774
  • [3] Direct analysis of the bright-soliton collisions in the focusing vector nonlinear Schrodinger equation
    Xu, Tao
    Tian, Bo
    Xue, Yu-Shan
    Qi, Feng-Hua
    [J]. EPL, 2010, 92 (05)
  • [4] Exact solutions and optical soliton solutions for the nonlinear Schrodinger equation with fourth-order dispersion and cubic-quintic nonlinearity
    Zayed, Elsayed M. E.
    Al-Nowehy, Abdul-Ghani
    [J]. RICERCHE DI MATEMATICA, 2017, 66 (02) : 531 - 552
  • [5] Existence of Dark Soliton Solutions of the Cubic Nonlinear Schrodinger Equation with Periodic Inhomogeneous Nonlinearity
    Belmonte-Beitia, Juan
    Torres, Pedro J.
    [J]. JOURNAL OF NONLINEAR MATHEMATICAL PHYSICS, 2008, 15 (Suppl 3) : 65 - 72
  • [6] On the Existence of Bright Solitons in Cubic-Quintic Nonlinear Schrodinger Equation with Inhomogeneous Nonlinearity
    Belmonte-Beitia, Juan
    [J]. MATHEMATICAL PROBLEMS IN ENGINEERING, 2008, 2008
  • [7] Recovery of a cubic nonlinearity for the nonlinear Schrodinger equation
    Hogan, Christopher C.
    Murphy, Jason
    Grow, David
    [J]. JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2023, 522 (01)
  • [8] The cubic fourth-order Schrodinger equation
    Pausader, Benoit
    [J]. JOURNAL OF FUNCTIONAL ANALYSIS, 2009, 256 (08) : 2473 - 2517
  • [9] Approximate Analytical Solutions of Bright Optical Soliton for Nonlinear Schrodinger Equation of Power Law Nonlinearity
    Hussin, Che Haziqah Che
    Azmi, Amirah
    Ismail, Ahmad Izani Md
    Kilicman, Adem
    Hashim, Ishak
    [J]. BAGHDAD SCIENCE JOURNAL, 2021, 18 (01) : 836 - 845
  • [10] The higher-order nonlinear Schrodinger's dynamical equation with fourth-order dispersion and cubic-quintic nonlinearity via dispersive analytical soliton wave solutions
    Rabie, Wafaa B.
    Ahmed, Hamdy M.
    Seadawy, Aly R.
    Althobaiti, Ali
    [J]. OPTICAL AND QUANTUM ELECTRONICS, 2021, 53 (12)
12345