The coupled nonlinear Schrodinger-type equations

被引：44
作者：
Abdelrahman, Mahmoud A. E. [1 ,2 ]
Hassan, S. Z. [3 ,5 ]
Inc, Mustafa [4 ]
机构：
[1] Taibah Univ, Coll Sci, Dept Math, Al Madinah Al Munawarah, Saudi Arabia
[2] Mansoura Univ, Fac Sci, Dept Math, Mansoura 35516, Egypt
[3] Imam Abdulrahman Bin Faisal Univ, Coll Sci & Humanities, Dept Math, Dammam, Saudi Arabia
[4] Firat Univ, Fac Sci, Dept Math, TR-23119 Elazig, Turkey
[5] POB 12020, City Jubail, Saudi Arabia
来源：
MODERN PHYSICS LETTERS B | 2020年 / 34卷 / 06期
关键词：
Coupled nonlinear Schrodinger-type equations; solitons; exp(-phi(xi))-expansion technique; sine-cosine technique; Riccati-Bernoulli sub-ODE technique; exact solution; TRAVELING-WAVE SOLUTIONS; ELLIPTIC FUNCTION-METHOD; F-EXPANSION METHOD; SINE-COSINE METHOD; TANH METHOD; EVOLUTION-EQUATIONS; SOLITARY WAVE; (G'/G)-EXPANSION METHOD; SOLITONS; DARK;
D O I：
10.1142/S0217984920500785
中图分类号：
O59 [应用物理学];
学科分类号：
摘要：
Nonlinear Schrodinger equations can model nonlinear waves in plasma physics, optics, fluid and atmospheric theory of profound water waves and so on. In this work, the exp(-phi(xi))-expansion, the sine-cosine and Riccati-Bernoulli sub-ODE techniques have been utilized to establish solitons, periodic waves and several types of solutions for the coupled nonlinear Schrodinger equations. These methods with the help of symbolic computations via Mathematica 10 are robust and adequate to solve partial differential nonlinear equations in mathematical physics. Finally, 3D figures for some selected solutions have been depicted.
引用
收藏
页数：17
相关论文
共 50 条
  • [31] Symmetry and conservation laws of the (2+1)-dimensional nonlinear Schrodinger-type equation
    Serikbayev, Nurzhan
    Saparbekova, Akbota
    INTERNATIONAL JOURNAL OF GEOMETRIC METHODS IN MODERN PHYSICS, 2023, 20 (10)
  • [32] Optical solitons of (3+1) dimensional and coupled nonlinear Schrodinger equations
    Inan, Ibrahim Enam
    Inc, Mustafa
    Rezazadeh, Hadi
    Akinyemi, Lanre
    OPTICAL AND QUANTUM ELECTRONICS, 2022, 54 (04)
  • [33] Rogue wave solutions in nonlinear optics with coupled Schrodinger equations
    Ali, Safdar
    Younis, Muhammad
    Ahmad, Muhammad Ozair
    Rizvi, Syed Tahir Raza
    OPTICAL AND QUANTUM ELECTRONICS, 2018, 50 (07)
  • [34] SPIKE VECTOR SOLUTIONS FOR SOME COUPLED NONLINEAR SCHRODINGER EQUATIONS
    Peng, Shuangjie
    Pi, Huirong
    DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS, 2016, 36 (04) : 2205 - 2227
  • [35] A CHEBYSHEV SPECTRAL COLLOCATION METHOD FOR THE COUPLED NONLINEAR SCHRODINGER EQUATIONS
    Rashid, Abdur
    Ismail, Ahmad Izani Bin Md.
    APPLIED AND COMPUTATIONAL MATHEMATICS, 2010, 9 (01) : 104 - 115
  • [36] Vector rogue waves in the mixed coupled nonlinear Schrodinger equations
    Li, Min
    Liang, Huan
    Xu, Tao
    Liu, Changjing
    EUROPEAN PHYSICAL JOURNAL PLUS, 2016, 131 (04):
  • [37] New solution algorithm of coupled nonlinear system of Schrodinger equations
    Neirameh, A.
    Eslami, M.
    Shokooh, S.
    ALEXANDRIA ENGINEERING JOURNAL, 2018, 57 (01) : 247 - 253
  • [38] Collapse in coupled nonlinear Schrodinger equations: Sufficient conditions and applications
    Prytula, Vladyslav
    Vekslerchik, Vadym
    Perez-Garcia, Victor M.
    PHYSICA D-NONLINEAR PHENOMENA, 2009, 238 (15) : 1462 - 1467
  • [39] Exact solutions for a system of two coupled discrete nonlinear Schrodinger equations with a saturable nonlinearity
    Kol, Guy Richard
    Woafo, Paul
    APPLIED MATHEMATICS AND COMPUTATION, 2013, 219 (11) : 5956 - 5962
  • [40] Ground state solutions of the periodic discrete coupled nonlinear Schrodinger equations
    Huang, Meihua
    Zhou, Zhan
    MATHEMATICAL METHODS IN THE APPLIED SCIENCES, 2015, 38 (08) : 1682 - 1695
12345