Abstract
The basic features of planar and nonplanar time-dependent dust-ion-acoustic (DIA) solitary waves (SWs) and double layers (DLs) have been studied in an unmagnetized dusty plasma system consisting of positively and negatively charged dust, Boltzmann distributed ions and superthermal electrons (represented by kappa distribution). Using the reductive perturbation technique (RPT) we have derived modified Gardner (MG) equation, which gives information beyond the Korteweg-de Vries (KdV) limits (corresponding to the vanishing of nonlinear coefficient of the KdV equation). It is seen that the properties of nonplanar DIA SWs and DLs are significantly differs as the value of spectral index kappa (κ) changes. The present investigation may have relevance in the study of propagation of DIA waves in space and laboratory plasmas.
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References
Abraham-Shrauner, B., Feldman, W.C.: J. Plasma Phys. 17, 123 (1977)
Abraham-Shrauner, B., Asbridge, J.R., Bame, S.J., Feldman, W.C.: J. Geophys. Res. 84, 553 (1979)
Alinejad, H.: Astrophys. Space Sci. 334, 325 (2011)
Alinejad, H.: Astrophys. Space Sci. 339, 249 (2012)
Andersson, L., Ergun, R.E., Newman, D.L., et al.: Phys. Plasmas 9, 3600 (2002)
Armstrong, T.P., Paonessa, M.T., Bell, E.V. II, Krimigis, S.M.: J. Geophys. Res. 88, 8893 (1983)
Asaduzzaman, M., Mamun, A.A.: Astrophys. Space Sci. (2012). doi:10.1007/s10509-012-1102
Baluku, T.K., Hellberg, M.A.: Phys. Plasmas 15, 123705 (2008)
Bora, M.P., Choudhury, B., Das, G.C.: Astrophys. Space Sci. (2012). doi:10.1007/s10509-012-1073-y
Cattaert, T., Verheest, F., Hellberg, M.A.: Phys. Plasmas 12, 042901 (2005)
Chatterjee, P., Ghosh, U.N.: Eur. Phys. J. D 64, 413 (2011)
Chatterjee, P., Ghorui, M.K., Wong, C.S.: Phys. Plasmas 18, 103710 (2011)
Chow, V.W., Mendis, D.A., Rosenberg, M.: J. Geophys. Res. 98, 19065 (1993)
Chu, J.H., Du, J.B., Lin, I.: J. Phys. D 27, 296 (1994)
Das, B., Chatterjee, P.: Phys. Lett. A 373, 1144 (2009)
El-Shewy, E.K., El-Maaty, M.I.A., Abdelwahed, H.G., Elmessary, M.A.: Commun. Theor. Phys. 55, 143 (2011)
Eslami, P., Mottaghizadeh, M., Pakzad, H.R.: Phys. Scr. 83, 065502 (2011a)
Eslami, P., Mottaghizadeh, M., Pakzad, H.R.: Astrophys. Space Sci. 333, 263 (2011b)
Formisano, V., Moreno, G., Palmiotto, F.: J. Geophys. Res. 78, 3714 (1973)
Ghosh, S., Bharuthram, R.: Astrophys. Space Sci. 314, 121 (2008)
Ghosh, U.N., Roy, K., Chatterjee, P.: Phys. Plasmas 18, 3703 (2011)
Ghosh, D.K., Chatterjee, P., Sahu, B.: Astrophys. Space Sci. (2012). doi:10.1007/s10509-012-1112-8
Goertz, C.K.: Rev. Geophys. 27, 271 (1989)
Gupta, M.R., Sarkar, S., Ghosh, S., Debnath, M., Khan, M.: Phys. Rev. E 63, 046406 (2001)
Hershkowitz, N., Romesser, T.: Phys. Rev. Lett. 32, 581 (1974)
Horanyi, M., Mendis, D.A.: Astrophys. J. 307, 800 (1986)
Horanyi, M., Morfill, G.E., Grun, E.: Nature (London) 363, 144 (1993)
Hossain, M.M., Mamun, A.A., Ashrafi, K.S.: Phys. Plasmas 18, 103704 (2011)
Kim, T.H., Kim, K.Y.: Phys. Lett. A 286, 180 (2001)
Law, D.A., Steet, W.H., Mannaratine, B., Allen, J.E.: Phys. Rev. Lett. 80, 4189 (1998)
Lazar, M., Schlickeiser, R., Poedts, S., Tautz, R.C.: Mon. Not. R. Astron. Soc. 168, 390 (2008)
Lee, N.C.: Phys. Plasmas 16, 042316 (2009)
Leubner, M.P.: J. Geophys. Res. 87, 6335 (1982)
Leubner, M.P.: Phys. Plasmas 11, 1308 (2004)
Lin, M.M., Duan, W.S.: Phys. Scr. 76, 320 (2007)
Liu, S.Q., Chen, H.: Astrophys. Space Sci. 339, 269 (2012)
Lui, A.T.Y., Krimigis, S.M.: Geophys. Res. Lett. 8, 527 (1987)
Mamun, A.A., Islam, S.: J. Geophys. Res. 116, A12323 (2011)
Mamun, A.A., Shukla, P.K.: Phys. Lett. A 290, 173 (2001)
Mamun, A.A., Shukla, P.K.: Phys. Plasmas 9, 1468 (2002a)
Mamun, A.A., Shukla, P.K.: Introduction to Dusty Plasma Physics. IOP, Bristol (2002b)
Mannan, A., Mamun, A.A.: Phys. Rev. E 84, 026408 (2011)
Mannan, A., Mamun, A.A.: Astrophys. Space Sci. 340(1), 109–115 (2012). doi:10.1007/s10509-012-1046-1
Marif, H., Djebli, M.: Astrophys. Space Sci. 337, 605 (2012)
Marsch, E., Muhlhauser, K.H., Schwenn, R., Rosenbauer, H., Pillip, W., Neubauer, F.M.: J. Geophys. Res. 87, 52 (1982)
Mayout, S., Tribeche, M.: Astrophys. Space Sci. 335, 443 (2011)
Melands, F.: Phys. Plasmas 27, 3890 (1996)
Mendis, D.A., Horanyi, M.: In: Cometary Plasma Processes Monograph 61, pp. 17–25. American Geophysical Union, Washington (1991)
Mendis, D.A., Rosenberg, M.: Annu. Rev. Astron. Astrophys. 32, 419 (1994)
Nejoh, Y.: Phys. Fluids B 4, 2830 (1992)
Northrop, T.G.: Phys. Scr. 75, 475 (1992)
Pakzad, H.R.: Astrophys. Space Sci. 331, 169 (2011)
Raadu, M.A.: Phys. Rep. 178, 25 (1989)
Rahman, O., Mamun, A.A.: Phys. Plasmas 18, 083703 (2011)
Rao, N.N., Shukla, P.K., Yu, M.Y.: Planet. Space Sci. 38, 543 (1990)
Sahu, B.: Phys. Scr. 82, 065504 (2010)
Sahu, B., Roychoudhury, R.: Phys. Plasmas 11, 104871 (2004)
Scudder, J.D., Sittler, E.C., Bridge, H.S.: J. Geophys. Res. 86, 8157 (1981)
Shukla, P.K., Silin, V.P.: Phys. Scr. 45, 508 (1992)
Tribeche, M., Benzekka, M.: Astrophys. Space Sci. 331, 619 (2011)
Tribeche, M., Boubakour, N.: Phys. Plasmas 16, 084502 (2009)
Tribeche, M., Younsi, S., Zerguini, T.H.: Astrophys. Space Sci. 339, 243 (2012)
Vassilev, V.M., Djondjorov, P.A., Hadzhilazova, M.T., Mladenov, I.M.: AIP Conf. Proc. 1404, 86 (2011)
Vasyliunas, V.M.: J. Geophys. Res. 73, 2839 (1968)
Verheest, F.: Space Sci. Rev. 77, 267 (1996)
Verheest, F.: Waves in Dusty Space Plasmas. Kluwer Academic, London (2001)
Washimi, H., Taniuti, T.: Phys. Rev. Lett. 17, 996 (1966)
Wazwaz, A.M.: Commun. Nonlinear Sci. Numer. Simul. 12, 1395 (2007)
Wazwaz, A.M.: Partial Differential Equations and Solitary Waves Theory. Springer, Berlin (2009)
Williams, D.J., Mitchell, D.G., Christon, S.P.: Geophys. Res. Lett. 15, 303 (1988)
Xue, J.K.: Eur. Phys. J. D 33, 3 (2005)
Xue, J.K., Lang, H.: Phys. Plasmas 10, 339 (2003)
Yan, Z.: Phys. Lett. A 372, 969 (2008)
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Ghosh, U.N., Ghosh, D.K., Chatterjee, P. et al. Superthermal effect of electrons on nonplanar dust-ion-acoustic solitary waves and double layers in a dusty plasma. Astrophys Space Sci 342, 449–456 (2012). https://doi.org/10.1007/s10509-012-1195-2
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DOI: https://doi.org/10.1007/s10509-012-1195-2