New wave behaviors and stability analysis of the Gilson-Pickering equation in plasma physics

被引：48
|
作者：
Ali, K. K. [1 ,2 ]
Yilmazer, R. [2 ]
Baskonus, H. M. [3 ]
Bulut, H. [2 ]
机构：
[1] Univ Zakho, Dept Math, Fac Sci, Zakho, Iraq
[2] Firat Univ, Dept Math, Fac Sci, Elazig, Turkey
[3] Harran Univ, Fac Educ, Sanliurfa, Turkey
来源：
INDIAN JOURNAL OF PHYSICS | 2021年 / 95卷 / 05期
关键词：
The Gilson-Pickering equation; The sine-Gordon expansion method; Analytical wave solutions; FLUID; FLOW;
D O I：
10.1007/s12648-020-01773-9
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
This study investigates the Gilson-Pickering equation by using the sine-Gordon expansion method. Sine-Gordon expansion method is one of the most powerful methods for solving the nonlinear partial differential equations. We successfully construct various exact solitary wave solutions to the governing equation, such as shock wave, topological, non-topological, compound topological, and non-topological soliton wave solutions. In addition, the stability of the studied nonlinear equation is analyzed via the linear stability analysis. The 2D, 3D, and contour surfaces are also plotted for all obtained solutions.
引用
收藏
页码：1003 / 1008
页数：6
相关论文
共 50 条
  • [31] Role of Gilson–Pickering equation for the different types of soliton solutions: a nonlinear analysis
    Asıf Yokuş
    Hülya Durur
    Kashif Ali Abro
    Doğan Kaya
    The European Physical Journal Plus, 135
  • [32] New Soliton Wave Solutions to a Nonlinear Equation Arising in Plasma Physics
    Almatrafi, M. B.
    Alharbi, Abdulghani
    CMES-COMPUTER MODELING IN ENGINEERING & SCIENCES, 2023, 137 (01): : 827 - 841
  • [33] New wave behaviors and stability analysis for magnetohydrodynamic flows
    Yang, Shengfang
    Dong, Huanhe
    Liu, Mingshuo
    NETWORKS AND HETEROGENEOUS MEDIA, 2024, 19 (02) : 887 - 922
  • [34] Constructions of the Travelling Wave Solutions to the MRLW Equation and Their Stability and Accuracy Arising in Plasma Physics
    Alharbi A.
    Almatrafi M.B.
    Abdelrahman M.A.E.
    International Journal of Applied and Computational Mathematics, 2023, 9 (3)
  • [35] The New Wave Structures to the Fractional Ion Sound and Langmuir Waves Equation in Plasma Physics
    Abdelrahman, Mahmoud A. E.
    Hassan, S. Z.
    Alomair, R. A.
    Alsaleh, D. M.
    FRACTAL AND FRACTIONAL, 2022, 6 (05)
  • [36] Stability analysis and novel solutions to the generalized Degasperis Procesi equation: An application to plasma physics
    El-Tantawy, S. A.
    Salas, Alvaro H.
    Jairo E, Castillo H.
    PLOS ONE, 2021, 16 (09):
  • [37] Some new families of solitary wave solutions of the generalized Schamel equation and their applications in plasma physics
    Nadia Cheemaa
    Aly R. Seadawy
    Sheng Chen
    The European Physical Journal Plus, 134
  • [38] Some new families of solitary wave solutions of the generalized Schamel equation and their applications in plasma physics
    Cheemaa, Nadia
    Seadawy, Aly R.
    Chen, Sheng
    EUROPEAN PHYSICAL JOURNAL PLUS, 2019, 134 (03):
  • [39] New Periodic and Localized Traveling Wave Solutions to a Kawahara-Type Equation: Applications to Plasma Physics
    Alyousef, Haifa A.
    Salas, Alvaro H.
    Alharthi, M. R.
    El-Tantawy, S. A.
    COMPLEXITY, 2022, 2022
  • [40] New Periodic and Localized Traveling Wave Solutions to a Kawahara-Type Equation: Applications to Plasma Physics
    Department of Physics, College of Science, Princess Nourah Bint Abdulrahman University, P.O. Box 84428, Riyadh
    11671, Saudi Arabia
    不详
    不详
    21944, Saudi Arabia
    不详
    42521, Egypt
    不详
    Complexity, 2022,
12345