Abstract
Gardner solitons (GSs) and double layers (DLs) of dust ion acoustic (DIA) waves in an electronegative plasma (composed of inertial positive and negative ions, Maxwellian cold electrons, non-thermal hot electrons, and negatively charged static dust) are studied. The reductive perturbation method is employed to derive the Korteweg-de Vries (K-dV), modified K-dV, and standard Gardner equations, which admits solitary wave and DLs solutions for σ around its critical value σ c (where σ c is the value of σ corresponding to the vanishing of the nonlinear coefficient of the K-dV equation). The parametric regimes for the existence of the GSs and DLs, are obtained. The basic features of DIA GSs and DLs (associated with negative structure only) are analyzed. It has been found that the characteristics of DIA GSs and DLs, are different from that of the K-dV solitons and mK-dV (mixed K-dV) solitons. The implications of our results to different space and laboratory plasma situations are discussed.
Similar content being viewed by others
References
Alinejad, H.: Astrophys. Space Sci. 327, 131 (2010)
Asaduzzaman, M., Mamun, A.A.: Astrophys. Space Sci. 341, 535 (2012)
Berezhnoj, S.V., et al.: Appl. Phys. Lett. 77, 800 (2000)
Boström, R.: IEEE Trans. Plasma Sci. 20, 756 (1992)
Cairns, R.A., et al.: Geophys. Res. Lett. 22, 2709 (1995)
Coates, A.J., et al.: Geophys. Res. Lett. 34, 22103 (2007)
Djebli, M., Marif, H.: Phys. Plasmas 16, 063708 (2009)
Dovner, P.O., et al.: Geophys. Res. Lett. 21, 1827 (1994)
Dubouloz, N., et al.: Geophys. Res. Lett. 98, 17415 (1993)
Elwakil, S.A., Zahran, M.A., El-Shewy, E.K.: Phys. Scr. 75, 803 (2007)
Ergun, R.E., et al.: Geophys. Res. Lett. 25, 2061 (1998)
Esfandyari-Kalejahi, A., Mehdipoor, M.: In: XXVIIth ICPIG. Eindhoven (2005)
Estabrook, K., Krueer, W.I.: Phys. Rev. Lett. 40, 42 (1978)
Franklin, R.N.: Plasma Sources Sci. Technol. 11, 31 (2002)
Geiss, J., et al.: Space Sci. Rev. 22, 537 (1978)
Gill, T.S., et al.: Eur. Phys. J. D 31, 91 (2004)
Ghim (Kim), Y., Hershkowitz, N.: Appl. Phys. Lett. 94, 151503 (2009)
Ghosh, K.K., et al.: J. Phys. A, Math. Theor. 41, 335501 (2008)
Ghosh, D.K., Chatterjee, P., Ghosh, U.N.: Phys. Plasmas 19, 033703 (2012)
Havnes, O.: AIP Conf. Proc. 649, 13 (2002)
Hossain, M.M., Mamun, A.A., Ashrafi, K.S.: Phys. Plasmas 18, 103704 (2011)
Ichiki, R., et al.: Phys. Plasmas 9, 4481 (2002)
Jacquinot, J., McVey, B.D., Scharer, J.E.: Phys. Rev. Lett. 39, 88 (1977)
Jones, W.D., et al.: Phys. Rev. Lett. 35, 1349 (1975)
Kim, S.H., Merlino, R.L.: Phys. Plasmas 13, 052118 (2006)
Kimura, T., Imagaki, K., Ohe, K.: J. Phys. D 31, 2295 (1998)
Lakhina, G.S., et al.: Phys. Plasmas 15, 062931 (2008)
Lieberman, M.A., Lichtenberg, A.: Principle of Plasma Discharges and Materials Processing. Wiley, New York (2005)
Mamun, A.A., Shukla, P.K.: Phys. Plasmas 9, 1468 (2002a)
Mamun, A.A., Shukla, P.K.: IEEE Trans. Plasma Sci. 30, 720 (2002b)
Mamun, A.A., Cairns, R.A., Shukla, P.K.: Phys. Lett. A 373, 2355 (2009a)
Mamun, A.A., et al.: Phys. Rev. E 80, 046406 (2009b)
Mamun, A.A., et al.: Phys. Plasmas 16, 114503 (2009c)
Mamun, A.A., Mannan, A.: JETP Lett. 94, 356 (2011)
Mannan, A., Mamun, A.A.: Phys. Rev. E 84, 026408 (2011)
Masud, M.M., Assaduzzaman, M., Mamun, A.A.: Astrophys. Space Sci. (2012). doi:10.1007/s10509-012-1244-x
Meige, S., et al.: Phys. Plasmas 14, 053508 (2007)
Merlino, R.L., Kim, S.H.: Appl. Phys. Lett. 89, 091501 (2006)
Morals, G.J., Lee, Y.C.: Phys. Rev. Lett. 33, 1534 (1974)
Nishida, Y., Nagasawa, T.: Phys. Fluids 29, 345 (1986)
Oleson, N.L., Found, F.G.: J. Appl. Phys. 29, 416 (1946)
Plihon, N., Chabert, P.: Phys. Plasmas 18, 082102 (2011)
Rahman, O., Mamun, A.A., Ashrafi, K.S.: Astrophys. Space Sci. 335, 425 (2011)
Sabry, R., Moslem, W.M., Shukla, P.K.: Phys. Plasmas 16, 032302 (2009)
Shah, A., Haque, Q., Mahmood, S.: Phys. Plasmas 16, 123704 (2009)
Sheridan, T.E., Goeckner, M.J., Goree, J.: J. Vac. Sci. Technol, A 9, 3 (1991)
Shuchy, S.T., Mannan, A., Mamun, A.A.: JETP Lett. 95, 310 (2012)
Shukla, P.K., Eliasson, B.: Rev. Mod. Phys. 81, 25 (2009)
Shukla, P.K., Silin, V.P.: Phys. Scr. 45, 508 (1992)
Song, S.B., Chang, C.S., Choi, D.-I.: Phys. Rev. E 55, 1 (1997)
Spileman, R.B., et al.: J. Plasma Phys. 47, 1909 (1976)
Vender, D., et al.: Phys. Rev. E 51, 2436 (1995)
Washimi, H., Taniuti, T.: Phys. Rev. Lett. 17, 996 (1966)
Weingarten, A., et al.: Phys. Rev. Lett. 87, 115004 (2001)
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
About this article
Cite this article
Akhter, T., Hossain, M.M. & Mamun, A.A. Effects of two temperature electrons on Gardner solitons and double layers in a nonthermal dusty electronegative plasma. Astrophys Space Sci 344, 105–112 (2013). https://doi.org/10.1007/s10509-012-1306-0
Received:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s10509-012-1306-0