Abstract
A theoretical investigation is developed to study the existence, formation and basic properties of arbitrary amplitude dust ion-acoustic solitary potentials in a dusty plasma consisting of warm ions, trapped electrons and immobile negative (positive) dust particles. It is found a definite interval for the Mach number for which solitary waves exist and depend sensitively on the ion temperature and negative (positive) dust concentration. In addition, the effects of ion temperature, two oppositely charged dust species and resonant electrons on the shape of the solitary waves are also investigated extensively. For both cases of negative and positive dust grains, the effect of ion temperature is found to be destructive for the formation of localized structures. Further, the amplitude of the solitary structures decreases (increases) with the increase in the negative (positive) dust concentration.
This is a preview of subscription content, log in via an institution to check access.
Similar content being viewed by others
References
Alinejad, H.: Role of trapped electrons on the propagation of localized dust ion-acoustic waves. Phys. Scr. 81, 015504–015510 (2010)
Alinejad, H., Mamun, A.A.: Small amplitude dust-acoustic solitary waves and double layers in dusty plasma with flat-toped electron distribution. Phys. Plasmas 17, 1237041-5 (2010)
Attia, M.T., Zahran, M.A., El-Shewy, E.K., Mowafy, A.E.: Contribution of higher order dispersion to nonlinear dust ion acoustic waves in inhomogeneous mesospheric dusty plasma with dust charge fluctuation. Z. Naturforsch. 65a, 91–99 (2010)
Choi, C.R., Ryu, C.-M., Lee, N.C., Lee, D.Y., Kim, Y.: Ion thermal pressure effects on dust ion acoustic solitary waves in a dusty plasma obliquely propagating to an external magnetic field. Phys. Plasmas 12, 072301–072307 (2005)
Choi, C.R., Lee, D.Y., Kim, Y.H., Lee, N.C.: Effects of charged dust particles on nonlinear ion acoustic solitary waves in a relativistic plasma. Phys. Plasmas 16, 043701–043710 (2009)
Das, A., Bandyopadhyay, B., Das, K.P.: Arbitrary amplitude dust acoustic solitary waves and double layers in nonthermal plasma including the effect of dust temperature. Phys. Plasmas 16, 073703 (2009)
El-Wakil, S.A., Zahran, M.A., El-Shewy, E.K., Mowafy, A.E.: Dust ion acoustic waves propagation in an inhomogeneous dusty plasma with positive and negative dust grains. Phys. Scr. 74, 503 (2006)
Havnes, O., Troim, J., Blix, T., Mortensen, W., Naesheim, L.I., Thrane, E., Tonnesen, T.: First detection of charged dust particles in the Earth’s mesospher. J. Geophys. Res. 101, 10839–10848 (1996)
Homann, A., Melzer, A., Peters, S., Piel, A.: Determination of the dust screening length by laser-excited lattice waves. Phys. Rev. E 56, 7138–7141 (1997)
Mamun, A.A.: Coexistence of positive and negative solitary potential structures in dusty plasma. Phys. Lett. A 372, 686–689 (2008)
Mamun, A.A., Shukla, P.K.: Solitary potentials in cometary dusty plasmas. Geophys. Res. Lett. 29, 1870–1874 (2002)
Mamun, A.A., Shukla, P.K.: Nonlinear waves and structures in dusty plasmas. Plasma Phys. Control. Fusion 47, A1 (2005)
Mendis, D.A., Rosenberg, M.: Cosmic dusty plasma. Annu. Rev. Astron. Astrophys. 32, 419–463 (1994)
Moslem, W.M., El-Taibany, W.F., El-Shewy, E.K., El-Shamy, E.F.: Dust-ion-acoustic solitons with transverse perturbation. Phys. Plasmas 12, 052318–052324 (2005)
Mowafy, A.E., El-Shewy, E.K., Moslem, W.M., Zahran, M.A.: Effects of dust charge fluctuation on the propagation of dust ion acoustic waves in inhomogeneous mesospheric dusty plasma. Phys. Plasmas 15, 073708–073717 (2008)
Nakamura, Y., Bailung, H., Shukla, P.K.: Observation of ion-acoustic shocks in a dusty plasma. Phys. Rev. Lett. 83, 1602–1605 (1999)
Popel, S.I., Golub’, A.P., Losseva, T.V., Ivlev, A.V., Khrapak, S.A., Morfill, G.: Weakly dissipative dust-ion-acoustic solitons. Phys. Rev. E 67, 056402 (2003)
Saeki, K., Michelsen, P., Pécseli, H.L., Rasmussen, J.J.: Formation and coalescence of electron solitary holes. Phys. Rev. Lett. 42, 501–504 (1979)
Schamel, H.: Stationary solitary, snoidal and sinusoidal ion acoustic waves. J. Plasma Phys. 14, 905 (1972a)
Schamel, H.: A modified Korteweg de Vries equation for ion acoustic waves due to resonant electrons. J. Plasma Phys. 9, 377 (1972b)
Shah, A., Haque, Q., Mahmood, S.: Effects of density gradient and dust concentration on ion acoustic solitons in multicomponent plasmas. Phys. Plasmas 16, 1237041-5 (2009)
Sheridan, T.E.: Some properties of large-amplitude, negative-potential solitary waves in a three-component plasma. J. Plasma Phys. 60, 17–28 (2008)
Shukla, P.K., Mamun, M.M.: Introduction to Dusty Plasma Physics. Institute of Physics Publishing Ltd., Bristol (2002)
Shukla, P.K., Silin, V.P.: Dust ion-acoustic wave. Phys. Scr. 45, 508 (1992)
Verheest, F.: Nonlinear acoustic waves in nonthermal plasmas with negative and positive dust. Phys. Plasmas 16, 013704–013715 (2009)
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
About this article
Cite this article
Alinejad, H. Influence of arbitrarily charged dust and trapped electrons on propagation of localized dust ion-acoustic waves. Astrophys Space Sci 337, 223–229 (2012). https://doi.org/10.1007/s10509-011-0818-3
Received:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s10509-011-0818-3