Abstract
The properties of nonplanar (cylindrical and spherical) ion-acoustic solitary waves (IA SWs) in an unmagnetized, collisionless electron-positron-ion (e-p-i) plasma, whose constituents are q-distributed electrons and positrons and inertial ions, are investigated by deriving the modified Gardner (MG) equation. The well known reductive perturbation method is employed to derive the MG equation. The basic features of nonplanar IA Gardner solitons (GSs) are discussed. It is found that the properties of nonplanar IA GSs (rarefactive and compressive) are significantly affected by the particle nonextensivity.
This is a preview of subscription content, log in via an institution to check access.
Similar content being viewed by others
References
Cardone, V.F., Leubner, M.P., Del Popolo, A.: Mon. Not. R. Astron. Soc. 414, 2265 (2011)
Chatterjee, P., Ghosh, U.N.: Eur. Phys. J. D 64, 413 (2011)
Chatterjee, P., Ghosh, U.N., Roy, K., Wong, C.S., Muniandy, S.V., Sahu, B.: Phys. Plasmas 17, 122314 (2010)
Chavanis, P.H.: Astron. Astrophys. 401, 15 (2003)
Du, J.L.: Europhys. Lett. 67, 893 (2004)
Du, J.L.: Phys. Lett. A 329, 262 (2004)
Du, J.L.: Europhys. Lett. 75, 861 (2006)
Du, J.L.: Astrophys. Space Sci. 312, 47 (2007)
Du, J.L.: Astrophys. Space Sci. 312, 47 (2007)
El-Awady, E.I., Moslem, W.M.: Phys. Plasmas 18, 082306 (2011)
El-Tantawy, S.A., Tribeche, M., Moslem, W.M.: Phys. Plasmas 19, 032104 (2012)
Eslami, P., Mottaghizadeh, M., Pakzad, H.R.: Phys. Plasmas 18, 072305 (2011)
Ghosh, S., Bharuthram, R.: Astrophys. Space Sci. 314, 121 (2008)
Ghosh, U.N., Chatterjee, P., Roychoudhury, R.: Phys. Plasmas 19, 012113 (2012)
Greaves, R.G., Surko, C.M.: Phys. Rev. Lett. 75, 3846 (1995)
Greaves, R.G., Tinkle, M.D., Surko, C.M.: Phys. Plasmas 1, 1439 (1994)
Helander, P., Ward, D.J.: Phys. Rev. Lett. 90, 135004 (2003)
Hershkowitz, N., Romesser, T.: Phys. Rev. Lett. 32, 581 (1974)
Hossain, M.M., Mamun, A.A., Ashrafi, K.S.: Phys. Plasmas 18, 103704 (2011)
Iqbal, M., Shukla, P.K.: Phys. Lett. A 375, 2725 (2011)
Lavagno, A., Kaniadakis, G., Rego-Monteirno, M., Quarati, P., Tsallis, C.: Astrophys. Lett. Commun. 35, 449 (1998)
Lee, N.C.: Phys. Plasmas 16, 042316 (2009)
Liu, Z., Du, J.L.: Phys. Plasmas 16, 123707 (2009)
Liu, Z., Liu, L., Du, J.L.: Phys. Plasmas 16, 072111 (2009)
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 (2002)
Mannan, A., Mamun, A.A.: Phys. Rev. E 84, 026408 (2011)
Maxon, S., Viecelli, J.: Phys. Rev. Lett. 32, 4 (1974)
Michel, F.C.: Rev. Mod. Phys. 54, 1 (1982)
Miller, H.R., Witta, P.J.: Active Galactic Nuclei, p. 202. Springer, Berlin (1987)
Moslem, W.M., Sabry, R., Shukla, P.K.: Phys. Plasmas 17, 032305 (2010)
Moslem, W.M., Sabry, R., El- Labany, S.K., Shukla, P.K.: Phys. Rev. E 84, 066402 (2011)
Oliveira, H.P., Soares, I.D.: Phys. Rev. D 71, 124034 (2005)
Pakzad, H.R.: Phys. Lett. A 373, 847 (2009a)
Pakzad, H.R.: Astrophys. Space Sci. 326, 77 (2009b)
Plastino, A.R., Plastino, A.: Phys. Lett. A 174, 384 (1993)
Popel, S.I., Vladimirov, S.V., Shukla, P.K.: Phys. Plasmas 2, 716 (1995)
Rees, M.J.: In: Gibbons, G.W., Hawking, S.W., Siklas, S. (eds.) The Very Early Universe. Cambridge University Press, Cambridge (1983)
Renyi, A.: Acta Math. Hung. 6, 285 (1955)
Sahu, B.: Phys. Plasmas 17, 122106 (2010)
Sahu, B., Roychoudhury, R.: Phys. Plasmas 11, 104871 (2004)
Shukla, P.K., Rao, N.N., Yu, M.Y., Tsintsa, N.L.: Phys. Rep. 135, 1 (1986)
Shukla, P.K., Mamun, A.A., Stenflo, L.: Phys. Scr. 68, 295 (2003)
Shukla, P.K., Mendonça, J.T., Bingham, R.: Phys. Scr. 2004, 133 (2004)
Silva, R., Plastino, A., Lima, J.: Phys. Lett. A 249, 401 (1998)
Surko, C.M., Murphy, T.J.: Phys. Fluids B 2, 1372 (1990)
Surko, C.M., Leventhal, M., Passner, A.: Phys. Rev. Lett. 62, 901 (1989)
Tandberg Hansen, E., Emshie, A.G.: The Physics of Solar Flares, p. 124. Cambridge University Press, Cambridge (1988)
Taruya, A., Sakagami, M.: Phys. Rev. Lett. 90, 181101 (2003)
Taruya, A., Sakagami, M.: Mon. Not. R. Astron. Soc. 364, 990 (2005)
Trivelpiece, A.W.: Comments Plasma Phys. Control. Fusion 1, 57 (1972)
Tsallis, C.: J. Stat. Phys. 52, 479 (1988)
Tsytovich, V., Wharton, C.B.: Comments Plasma Phys. Control. Fusion 4, 91 (1978)
Vassilev, V.M., Djondjorov, P.A., Hadzhilazova, M.Ts., Mladenov, I.M.: AIP Conf. Proc. 86, 1404 (2011)
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. Higher Education Press, Springer, Berlin (2009)
Wazwaz, A.M.: Appl. Math. Comput. 217, 2277 (2010)
Wesson, J.A., et al.: Nucl. Fusion 29, 641 (1989)
Xue, J.K.: Phys. Plasmas 10, 3430 (2003)
Xue, J.K., Lang, H.: Phys. Plasmas 10, 339 (2003)
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
About this article
Cite this article
Ghosh, U.N., Ghosh, D.K., Chatterjee, P. et al. Nonplanar ion-acoustic Gardner solitons in a pair-ion plasma with nonextensive electrons and positrons. Astrophys Space Sci 343, 265–272 (2013). https://doi.org/10.1007/s10509-012-1221-4
Received:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s10509-012-1221-4