1. Home
  2. LEA 2016
  3. Proceedings
  4. Travelling Wave Simulations to the Modified Zakharov-Kuzentsov Model Arising In Plasma Physics

Travelling Wave Simulations to the Modified Zakharov-Kuzentsov Model Arising In Plasma Physics

Haci Mehmet Baskonus1 hmbaskonus [at] gmail.com
Muzaffer Askin2 muzafferaskin [at] gmail.com
  1. Munzur University, Faculty of Engineering, Department of Computer Engineering, Tunceli, Turkey.
  2. Munzur University, Faculty of Engineering, Department of Electrical and Electronic Engineering, Tunceli, Turkey.
Abstract 

In this manuscript, we carry out  the modified exp-(-Omega(xi))-expansion function method to the modified Zakharov-Kuzentsov equation with (2+ 1) dimensions arising in plasma physics. Then, the hyperbolic and complex travelling wave solutions are obtained to the model. It is observed that all results are verified to the model with the help of  Wolfram Mathematica 9. We also plot the two- and threedimensional surfaces for all the travelling wave solutions obtained in this paper using the same computer program.

Keywords 
The modified exp-(-Omega(xi))-expansion function method; the modified Zakharov-Kuzentsov equation; complex and hyperbolic function solution
References 

[1] H.M. Baskonus, “New Acoustic Wave Behaviors to the Davey-StewartsonEquation with Power Nonlinearity Arising in Fluid Dynamics”, Nonlinear Dynamics, 86(1), 177-183, 2016.

[2] M. Najafi, S. Arbabi and M. Najafi, “He's Semi-Inverse Method for Camassa-Holm Equation and Simplified Modified Camassa-Holm Equation”, International Journal of Physical Research. 1(1), 1-6, 2013.

[3] H.M. Baskonus and H. Bulut, “Exponential prototype structures for (2+1)-dimensional Boiti-Leon-Pempinelli systems in mathematical physics”, Waves in Random and Complex Media, 26(2), 201-208, 2016.

[4] H. Bulut, “Classification of Exact Solutions for Generalized Form of Equation,” Abstract and Applied Analysis, 2013,1–11, 2013. 

[5] A. H. Khater, M, M. Hassan, D. K. Callebaut, Travelling Wave Solutions To Some Important Equations of Mathematical Physics, Reports On Mathematical Physics ,66, 1-19, 2010.

[6] A. H. Khater and M. M. Hassan, “Exact Jacobi elliptic function solutions for some special types of nonlinear evolution equations”, II Nuovo cimento della Società italiana di fisica B, 121 (6), 613-622, 2016.

[7] H.O. Roshid and Md. A. Rahman, “The exp(−Φ(η))expansion method with application in the (1+1)dimensional classical Boussinesq equations”, Results in Physics, 4, 150–155, 2014.

[8] A. E. Abdelrahman, Emad H. M. Zahran, Mostafa M. A. Khater, “The exp(−ϕ(ξ))-Expansion Method and Its Application for Solving Nonlinear Evolution Equations Mahmoud”, International Journal of Modern Nonlinear Theory and Application, 4, 37-47, 2015.

[9] M.G. Hafez, Md. Nur Alam and M. Ali Akbar, “Application of the exp (-Omega(\eta))-expansion Method to Find Exact Solutions for the Solitary Wave Equation in an Unmagnatized Dusty Plasma”,  World Applied Sciences Journal 32 (10): 2150-2155, 2014.

[10] E.W. Weisstein, “Concise Encyclopedia of Mathematics”, 2nd edition. NewYork: CRC Press, 2002.