›› 2014, Vol. 23 ›› Issue (7): 70505-070505.doi: 10.1088/1674-1056/23/7/070505

• GENERAL • 上一篇    下一篇

Space–time fractional KdV–Burgers equation for dust acoustic shock waves in dusty plasma with non-thermal ions

Emad K. El-Shewy, Abeer A. Mahmoud, Ashraf M. Tawfik, Essam M. Abulwafa, Ahmed Elgarayhi   

  1. Theoretical Physics Group, Physics Department, Faculty of Science, Mansoura University, Mansoura, Egypt
  • 收稿日期:2013-09-11 修回日期:2014-01-02 出版日期:2014-07-15 发布日期:2014-07-15

Space–time fractional KdV–Burgers equation for dust acoustic shock waves in dusty plasma with non-thermal ions

Emad K. El-Shewy, Abeer A. Mahmoud, Ashraf M. Tawfik, Essam M. Abulwafa, Ahmed Elgarayhi   

  1. Theoretical Physics Group, Physics Department, Faculty of Science, Mansoura University, Mansoura, Egypt
  • Received:2013-09-11 Revised:2014-01-02 Online:2014-07-15 Published:2014-07-15
  • Contact: Essam M. Abulwafa E-mail:abulwafa@mans.edu.eg
  • About author:05.45.Df; 52.30.-q; 52.27.Lw; 52.35.Fp

摘要: The KdV-Burgers equation for dust acoustic waves in unmagnetized plasma having electrons, singly charged non-thermal ions, and hot and cold dust species is derived using the reductive perturbation method. The Boltzmann distribution is used for electrons in the presence of the cold (hot) dust viscosity coefficients. The semi-inverse method and Agrawal variational technique are applied to formulate the space-time fractional KdV-Burgers equation which is solved using the fractional sub-equation method. The effect of the fractional parameter on the behavior of the dust acoustic shock waves in the dusty plasma is investigated.

关键词: dust-acoustic waves, reductive perturbation method, modified Riemann-Liouville fractional derivative, space-time fractional KdV-Burgers equation

Abstract: The KdV-Burgers equation for dust acoustic waves in unmagnetized plasma having electrons, singly charged non-thermal ions, and hot and cold dust species is derived using the reductive perturbation method. The Boltzmann distribution is used for electrons in the presence of the cold (hot) dust viscosity coefficients. The semi-inverse method and Agrawal variational technique are applied to formulate the space-time fractional KdV-Burgers equation which is solved using the fractional sub-equation method. The effect of the fractional parameter on the behavior of the dust acoustic shock waves in the dusty plasma is investigated.

Key words: dust-acoustic waves, reductive perturbation method, modified Riemann-Liouville fractional derivative, space-time fractional KdV-Burgers equation

中图分类号:  (Fractals)

  • 05.45.Df
52.30.-q (Plasma dynamics and flow) 52.27.Lw (Dusty or complex plasmas; plasma crystals) 52.35.Fp (Electrostatic waves and oscillations (e.g., ion-acoustic waves))