Analytical Investigation of Soliton Solutions to Three Quantum Zakharov-Kuznetsov Equations

被引：24
|
作者：
Nuruddeen, Rahmatullah Ibrahim [1 ]
Aboodh, Khalid Sunman [2 ,3 ]
Ali, Khalid K. [4 ]
机构：
[1] Fed Univ Dutse, Dept Math, Dutse, Jigawa State, Nigeria
[2] Omdurman Islamic Univ, Fac Sci & Technol, Dept Math, Khartoum, Sudan
[3] Univ Bisha, Fac Sci & Arts, Dept Math, Bisha, Saudi Arabia
[4] Al Azhar Univ, Fac Sci, Math Dept, Cairo, Egypt
来源：
COMMUNICATIONS IN THEORETICAL PHYSICS | 2018年 / 70卷 / 04期
关键词：
two-dimensional QZK equation; three-dimensional QZK equations; soliton solutions; RATIONAL EXPANSION METHOD; RICCATI EQUATION; WAVE SOLUTION;
D O I：
10.1088/0253-6102/70/4/405
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
In the present paper, the two-dimensional quantum Zakharov-Kuznetsov (QZK) equation, three-dimensional quantum Zakharov-Kuznetsov equation and the three-dimensional modified quantum Zakharov-Kuznetsov equation are analytically investigated for exact solutions using the modified extended tanh-expansion based method. A variety of new and important soliton solutions are obtained including the dark soliton solution, singular soliton solution, combined dark-singular soliton solution and many other trigonometric function solutions. The used method is implemented on the Mathematica software for the computations as well as the graphical illustrations.
引用
收藏
页码：405 / 412
页数：8
相关论文
共 50 条
  • [1] Analytical Investigation of Soliton Solutions to Three Quantum Zakharov-Kuznetsov Equations
    Rahmatullah Ibrahim Nuruddeen
    Khalid Suliman Aboodh
    Khalid K. Ali
    CommunicationsinTheoreticalPhysics, 2018, 70 (10) : 405 - 412
  • [2] Analytical solutions Zakharov-Kuznetsov equations
    Nawaz, Touqeer
    Yildirim, Ahmet
    Mohyud-Din, Syed Tauseef
    ADVANCED POWDER TECHNOLOGY, 2013, 24 (01) : 252 - 256
  • [3] ANALYTICAL APPROXIMATE SOLUTIONS OF THE ZAKHAROV-KUZNETSOV EQUATIONS
    Jafarian, A.
    Ghaderi, P.
    Golmankhaneh, Alireza K.
    Baleanu, D.
    ROMANIAN REPORTS IN PHYSICS, 2014, 66 (02) : 296 - 306
  • [4] Dynamical analysis and soliton solutions of a variety of quantum nonlinear Zakharov-Kuznetsov models via three analytical techniques
    Zaagan, Abdullah A.
    Altalbe, Ali
    Bekir, Ahmet
    FRONTIERS IN PHYSICS, 2024, 12
  • [5] SOLITON INTERACTION OF THE ZAKHAROV-KUZNETSOV EQUATIONS IN PLASMA DYNAMICS
    Zhen, Hui-Ling
    Tian, Bo
    Wang, Pan
    Liu, Rong-Xiang
    Zhong, Hui
    INTERNATIONAL JOURNAL OF MODERN PHYSICS B, 2013, 27 (09):
  • [6] Conservation laws, soliton solutions and periodic solutions for generalized coupled Zakharov-Kuznetsov equations
    Elboree, Mohammed K.
    CHAOS SOLITONS & FRACTALS, 2017, 104 : 607 - 612
  • [7] ASYMPTOTIC K-SOLITON-LIKE SOLUTIONS OF THE ZAKHAROV-KUZNETSOV TYPE EQUATIONS
    Valet, Frederic
    TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, 2021, 374 (05) : 3177 - 3213
  • [8] Multi-soliton rational solutions for quantum Zakharov-Kuznetsov equation in quantum magnetoplasmas
    Osman, M. S.
    WAVES IN RANDOM AND COMPLEX MEDIA, 2016, 26 (04) : 434 - 443
  • [9] Qualitative analysis and soliton solutions of nonlinear extended quantum Zakharov-Kuznetsov equation
    Hussain, Ejaz
    Malik, Sandeep
    Yadav, Ankit
    Shah, Syed Asif Ali
    Iqbal, Muhammad Abdaal Bin
    Ragab, Adham E.
    Mahmoud, HassabAlla M. A.
    NONLINEAR DYNAMICS, 2024, 112 (21) : 19295 - 19310
  • [10] Solitary waves solutions for extended forms of quantum Zakharov-Kuznetsov equations
    Wazwaz, Abdul-Majid
    PHYSICA SCRIPTA, 2012, 85 (02)
12345