scholarly journals Exact solutions for the system of stochastic equations for the ion sound and Langmuir waves

2021 ◽  
pp. 104841
Author(s):  
W.W. Mohammed ◽  
R. Qahiti ◽  
Hijaz Ahmad ◽  
Jamel Baili ◽  
F.E. Mansour ◽  
...  
Keyword(s):  
Exact Solutions ◽  
Stochastic Equations ◽  
Langmuir Waves

New exact solutions for coupled nonlinear system of ion sound and Langmuir waves

2019 ◽  
Vol 94 (6) ◽  
pp. 885-894 ◽  
Author(s):  
M Shakeel ◽  
M A Iqbal ◽  
Q Din ◽  
Q M Hassan ◽  
K Ayub
Keyword(s):  
Nonlinear System ◽  
Exact Solutions ◽  
Langmuir Waves ◽  
New Exact Solutions

scholarly journals The system of equations for the ion sound and Langmuir waves and its new exact solutions

2018 ◽  
Vol 9 ◽  
pp. 1631-1634 ◽  
Author(s):  
Aly R. Seadawy ◽  
D. Kumar ◽  
K. Hosseini ◽  
F. Samadani
Keyword(s):  
Exact Solutions ◽  
System Of Equations ◽  
Langmuir Waves ◽  
New Exact Solutions

scholarly journals A comparison of analytical solutions of nonlinear complex generalized Zakharov dynamical system for various definitions of the differential operator

2022 ◽  
Vol 30 (1) ◽  
pp. 335-361
Author(s):  
Melih Cinar ◽  
◽  
Ismail Onder ◽  
Aydin Secer ◽  
Mustafa Bayram ◽  
...  
Keyword(s):  
Dynamical System ◽  
Differential Operator ◽  
Exact Solutions ◽  
3D Graphics ◽  
Langmuir Waves ◽  
New Exact Solutions ◽  
Different Types ◽  
Pde Systems ◽  
2D And 3D ◽  
Linear Pdes

<abstract><p>This paper considers deriving new exact solutions of a nonlinear complex generalized Zakharov dynamical system for two different definitions of derivative operators called conformable and $ M- $ truncated. The system models the spread of the Langmuir waves in ionized plasma. The extended rational $ sine-cosine $ and $ sinh-cosh $ methods are used to solve the considered system. The paper also includes a comparison between the solutions of the models containing separately conformable and $ M- $ truncated derivatives. The solutions are compared in the $ 2D $ and $ 3D $ graphics. All computations and representations of the solutions are fulfilled with the help of Mathematica 12. The methods are efficient and easily computable, so they can be applied to get exact solutions of non-linear PDEs (or PDE systems) with the different types of derivatives.</p></abstract>

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