Jaulent-Miodek evolution equation: Analytical methods and various solutions

被引:10
作者
Akkilic, Ayse Nur [1 ]
Sulaiman, Tukur Abdulkadir [2 ,3 ]
Shakir, Azad Piro [4 ]
Ismael, Hajar F. [5 ]
Bulut, Hasan [1 ]
Shah, Nehad Ali [7 ]
Alif, Mohamed R. [6 ]
机构
[1] Firat Univ, Fac Sci, Dept Math, Elazig, Turkiye
[2] Biruni Univ, Dept Comp Engn, Istanbul, Turkiye
[3] Lebanese Amer Univ, Dept Comp Sci & Math, Beirut, Lebanon
[4] Duhok Polytech Univ, Tech Coll Engn, Energy Engn Dept, Duhok, Iraq
[5] Univ Zakho, Fac Sci, Dept Math, Zakho, Iraq
[6] Future Univ Egypt, Fac Engn & Technol, New Cairo 11835, Egypt
[7] Sejong Univ, Dept Mech Engn, Seoul 05006, South Korea
关键词
Integro-differential Jaulent-Miodek evolution; equation; (m+1; G?)-expansion method; Extended rational sine-cosine method; VARIATIONAL ITERATION METHOD; WAVE SOLUTIONS; DIFFERENTIAL-INCLUSIONS; CONTROLLABILITY; DARK;
D O I
10.1016/j.rinp.2023.106351
中图分类号
T [工业技术];
学科分类号
08 ;
摘要
( ) In this study, the m + 1-expansion technique and the extended rational sine-cosine approach are applied to G ' investigate the (2+1)-dimensional integrodifferential equation, namely the Jaulent-Miodek evolution equation (JMEE). Via these powerful approaches, some wave solutions to the JMEE evolution equation are successfully constructed. Using suitable values of the parameters, we plot the 2-and 3-dimensional graphs of the reported solutions. The two utilized approaches are powerful and efficient mathematical tools that secure important wave solutions. The reported solutions in this study may be used in explaining the physical features of various nonlinear physical models.
引用
收藏
页数:7
相关论文
共 44 条
[1]   New wave behaviors and stability analysis of the Gilson-Pickering equation in plasma physics [J].
Ali, K. K. ;
Yilmazer, R. ;
Baskonus, H. M. ;
Bulut, H. .
INDIAN JOURNAL OF PHYSICS, 2021, 95 (05) :1003-1008
[2]   Analytical solutions for the (3+1)-dimensional nonlinear extended quantum Zakharov-Kuznetsov equation in plasma physics [J].
Ali, Karmina K. ;
Yilmazer, Resat ;
Yokus, Asif ;
Bulut, Hasan .
PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS, 2020, 548
[3]   On the New Wave Behaviors of the Gilson-Pickering Equation [J].
Ali, Karmina K. ;
Dutta, Hemen ;
Yilmazer, Resat ;
Noeiaghdam, Samad .
FRONTIERS IN PHYSICS, 2020, 8
[4]   Exact bright-dark solitary wave solutions of the higher-order cubic-quintic nonlinear Schrodinger equation and its stability [J].
Arshad, M. ;
Seadawy, Aly R. ;
Lu, Dianchen .
OPTIK, 2017, 138 :40-49
[5]  
Baskonus H.M., 2019, J. Appl. Sci, V21, P34
[6]   Novel complex and hyperbolic forms to the strain wave equation in microstructured solids [J].
Baskonus, Haci Mehmet ;
Sulaiman, Tukur Abdulkadir ;
Bulut, Hasan .
OPTICAL AND QUANTUM ELECTRONICS, 2018, 50 (01)
[7]   On the numerical solutions of some fractional ordinary differential equations by fractional Adams-Bashforth-Moulton method [J].
Baskonus, Haci Mehmet ;
Bulut, Hasan .
OPEN MATHEMATICS, 2015, 13 :547-556
[8]   1-Soliton solution and conservation laws for the Jaulent-Miodek equation with power law nonlinearity [J].
Biswas, Anjan ;
Kara, A. H. .
APPLIED MATHEMATICS AND COMPUTATION, 2010, 217 (02) :944-948
[9]   Dark, bright and other soliton solutions to the Heisenberg ferromagnetic spin chain equation [J].
Bulut, Hasan ;
Sulaiman, Tukur Abdulkadir ;
Baskonus, Haci Mehmet .
SUPERLATTICES AND MICROSTRUCTURES, 2018, 123 :12-19
[10]   Dark, bright optical and other solitons with conformable space-time fractional second-order spatiotemporal dispersion [J].
Bulut, Hasan ;
Sulaiman, Tukur Abdulkadir ;
Baskonus, Haci Mehmet .
OPTIK, 2018, 163 :1-7