Abstract
The Kadomtsev-Petviashvili-Burgers (KPB) equation is derived for coupled drift acoustic shock waves in a partially ionized non-uniform pair-ion-electron (PIE) plasma in the presence of both density and temperature gradients respectively. Both linear and nonlinear studies are presented. The nonlinear KPB equation is derived in the small amplitude approximation method and its solution is found using the tanh method. The numerical calculations also presented for PIE plasmas of fullerene plasma for illustration keeping in view the recent experiments. The effect of density and temperature inhomogeneities on the nature of the shock is also highlighted. The role of the velocity of the nonlinear structure with regard to the density and temperature gradients driven drift velocities is also pointed out and the effect of ion-neutral collision frequency is also investigated. This work may be useful for future laboratory experimental investigations on pair-ion-electron plasmas.
Similar content being viewed by others
References
Chatterjee, P., Ghosh, K.D., Sahu, B.: Astrophys. Space Sci. 339, 261 (2012)
Dubinov, E., Dubinova, I.P., Gordienko, V.A.: Phys. Plasmas 13, 082111 (2006)
Hasegawa, A., Shukla, P.K.: Phys. Scr. 116, 105 (2005)
Holland, C., Tynan, G.R., Yu, J.H., James, A., Nishijima, D., Shimada, M., Taheri, N.: Comments Plasma Phys. Control. Fusion 49, A109 (2007)
Mahmood, S., Hussain, S., Masood, W., Saleem, H.: Phys. Scr. 79, 045501 (2009)
Malfliet, W.: Am. J. Phys. 60, 650 (1992)
Malfliet, W.: J. Comput. Appl. Math. 164, 529 (2004)
Masood, W., Rizvi, H.: Phys. Plasmas 18, 092111 (2011)
Masood, W., Mahmood, S., Imtiaz, N.: Phys. Plasmas 16, 122306 (2009)
Masood, W., Rizvi, H., Hussain, S.: Astrophys. Space Sci. 332, 287 (2011)
Mushtaq, A., Saeed, R., Haque, Q.: Phys. Plasmas 18, 042305 (2011)
Oohara, W., Hatakeyama, R.: Phys. Rev. Lett. 91, 205005 (2003)
Oohara, W., Hatakeyama, R.: Phys. Plasmas 14, 055704 (2007)
Oohara, W., Date, D., Hatakeyama, R.: Phys. Rev. Lett. 95, 175003 (2005)
Oohara, W., Kuwabara, Y., Hatakeyama, R.: Phys. Rev. E, Stat. Nonlinear Soft Matter Phys. 75, 056403 (2007)
Sahu, B., Roychoudhury, R.: Phys. Plasmas 14, 072310 (2007)
Saleem, H.: Phys. Plasmas 16, 022302 (2007)
Saleem, H., Batool, N.: Phys. Plasmas 16, 022302 (2009)
Saleem, H., Vranjes, J., Poedts, S.: Phys. Lett. A 350, 375 (2006)
Shukla, P.K., Mamun, A.A.: New J. Phys. 5, 17 (2003)
Vranjes, J., Petrovic, D., Pandey, B.P., Poedts, S.: Phys. Plasmas 15, 072104 (2008)
Xue, J.-K.: Phys. Plasmas 10, 48932002 (2003)
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
About this article
Cite this article
Masood, W., Batool, N. Nonlinear structure of coupled drift ion acoustic waves in dissipative pair-ion-electron plasmas. Astrophys Space Sci 343, 229–236 (2013). https://doi.org/10.1007/s10509-012-1203-6
Received:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s10509-012-1203-6