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>

New exact solutions of coupled (2+1)-dimensional nonlinear systems of Schrödinger equations

2011 ◽  
Vol 51 ◽  
pp. 110 ◽  
Author(s):  
F. Khani ◽  
M. T. Darvishi ◽  
Abbas Farmany ◽  
L. Kavitha
Keyword(s):  
Nonlinear Systems ◽  
Exact Solutions ◽  
Schrodinger Equations ◽  
Schrödinger Equations ◽  
New Exact Solutions

New Exact Solutions of Steady Plane Flows of an In Compressible Fluid of Variable Viscosity

2016 ◽  
Vol 2 (1) ◽  
Author(s):  
Sobia Younus
Keyword(s):  
Exact Solutions ◽  
Stream Function ◽  
Compressible Fluid ◽  
Variable Viscosity ◽  
Plane Motion ◽  
Transformation Technique ◽  
Vorticity Distribution ◽  
New Exact Solutions ◽  
Steady Plane ◽  
Uniform Stream

<span>Some new exact solutions to the equations governing the steady plane motion of an in compressible<span> fluid of variable viscosity for the chosen form of the vorticity distribution are determined by using<span> transformation technique. In this case the vorticity distribution is proportional to the stream function<span> perturbed by the product of a uniform stream and an exponential stream<br /><br class="Apple-interchange-newline" /></span></span></span></span>

New exact solutions for a generalised Burgers-Fisher equation

2021 ◽  
Vol 152 ◽  
pp. 111360
Author(s):  
J. Mendoza ◽  
C. Muriel
Keyword(s):  
Exact Solutions ◽  
Fisher Equation ◽  
New Exact Solutions
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