On the Homotopy Asymptotic Method of Quantum Zakharov-Kuznetsov Equation in Ion Acoustic Waves

Authors

  • Mohamed Aly ABDOU Theoretical Research Group, Department of Physics, Faculty of Science, Mansoura University, Mansoura
  • Ahamed ELGARAYHI Department of Physics, Faculty of Education for Girls, King Khalid University, Bisha

Keywords:

Optimal homotopy asymptotic method, quantum Zakharov-Kuznetsov equation, approximate solution

Abstract

Here, we investigate the effectiveness of the optimal homotopy asymptotic method (OHAM) with a symbolic computational method for constructing the approximate solution for quantum Zakharov- Kuznetsov equation that is derived to describe the in magnetized plasma in ion acoustic waves. The results reveal that the method is explicit, effective and easy to use. The proposed method is a strong and easy to use analytic tool for nonlinear problems and does not need small parameters in the equations. The results obtained here reveal that the proposed method is very effective and simple for solving nonlinear problems. The basic ideas of this approach can be widely employed to solve other strongly nonlinear evaluation form equations arising in physics.

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Published

2015-12-13

How to Cite

ABDOU, M. A., & ELGARAYHI, A. (2015). On the Homotopy Asymptotic Method of Quantum Zakharov-Kuznetsov Equation in Ion Acoustic Waves. Walailak Journal of Science and Technology (WJST), 13(5), 365–373. Retrieved from https://wjst.wu.ac.th/index.php/wjst/article/view/569