Abstract
Ion-acoustic envelope solitary waves in a very dense plasma comprised of the electrons, positrons and ions are investigated. For this purpose, the quantum hydrodynamic model and the Poisson equation are used. A modified nonlinear Schrödinger equation is derived by employing the reductive perturbation method. The effects of the quantum correction and of the positron density on the propagation and stability of the envelope solitary waves are examined. The nonplanar (cylindrical/spherical) geometry gives rise to an instability period. The latter cannot exist for planar case and it affected by the quantum parameters, as well as the positron density. The present investigation is relevant to white dwarfs.
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H.R. Miller, P.J. Witta, Active Galactic Nuclei (Springer-Verlag, Berlin, 1987), p. 202; P. Goldreich, W.H. Julian, Astrophys. J. 157, 869 (1969); F.C. Michel, Rev. Mod. Phys. 54, 1 (1982); R. Schlickeiser, P.K. Shukla, Astrophys. J. Lett. 599, L57 (2003)
A.P. Lightman, Astrophys. J. 253, 842 (1982)
M.L. Burns, R.V.E. Lovelace, Astrophys. J. 262, 87 (1982)
A.P. Lightman, A.A. Zdziarski, Astrophys. J. 319, 643 (1987)
A.A. Zdziarski, Astrophys. J. 335, 786 (1987)
P.K. Shukla, N.N. Rao, M.Y. Yu, N.L. Tsintsadze, Phys. Rep. 138, 1 (1986)
V. Berezhiani, D.D. Tskhakaya, P.K. Shukla, Phys. Rev. A 46, 6608 (1992)
P. Helander, D.J. Ward, Phys. Rev. Lett. 90, 135004 (2003)
E. Tandberg-Hansen, A.G. Emslie, The Physics of Solar Flares (Cambridge University Press, Cambridge, 1988), p. 124
V. Tsytovich, C.B. Wharton, Comments Plasma Phys. Contr. Fusion 4, 91 (1978)
R. Bharuthram, Astrophys. Space Sci. 189, 213 (1992)
F. Verheest, M.A. Hellberg, G.J. Gray, R.L. Mace, Astrophys. Space Sci. 239, 125 (1995); I. Kourakis, F. Verheest, N. Cramer, Phys. Plasmas 14, 022306 (2007)
S.I. Popel, S.V. Vladimirov, P.K. Shukla, Phys. Plasmas 2, 716 (1995)
M.Y. Yu, P.K. Shukla, L. Stenflo, Astrophys. J. Lett. 309, L63 (1986)
Y.N. Nejoh, Phys. Plasmas 3, 1447 (1996)
A. Mushtaq, H.A. Shah, Phys. Plasmas 12, 072306 (2005)
N. Shukla, P.K. Shukla, Phys. Lett. A 362, 221 (2007)
A. Esfandyari-Kalejahi, I. Kourakis, P.K. Shukla, J. Phys. A 39, 13817 (2006); I. Kourakis, A. Esfandyari-Kalejahi, M. Mehdipoor, P.K. Shukla, Phys. Plasmas 13, 052117 (2006)
A. Luque, H. Schamel, R. Fedele, Phys. Lett. A 324, 185 (2004); D. Jovanovic, R. Fedele, Phys. Lett. A 364, 304 (2007)
F. Haas, G. Manfredi, M. Feix, Phys. Rev. E 62, 2763 (2000); F. Haas, G. Manfredi, J. Goedert, Phys. Rev. E 64, 026413 (2001); F. Haas, L.G. Garcia, J. Goedert, G. Manfredi, Phys. Plasmas 10, 3858 (2003)
P.K. Shukla, B. Eliasson, Phys. Rev. Lett. 96, 245001 (2006); P.K. Shukla, B. Eliasson, New J. Phys. 9, 98 (2007)
W.M. Moslem, P.K. Shukla, S. Ali, R. Schlickeiser, Phys. Plasmas 14, 042107 (2007); W.M. Moslem, S. Ali, P.K. Shukla, X.Y. Tang, G. Rowlands, Phys. Plasmas 14, 082308 (2007)
P.K. Shukla, S. Ali, Phys. Plasmas 12, 114502 (2005); S. Ali, P.K. Shukla, Phys. Plasmas 13, 022313 (2006)
S. Ali, W.M. Moslem, P.K. Shukla, R. Schlickeiser, Phys. Plasmas 14, 082307 (2007); K. Roy, A.P. Misra, P. Chatterjee, Phys. Plasmas 15, 032310 (2008)
B. Sahu, R. Roychowdhury, Phys. Plasmas 14, 012304 (2007)
A. Mushtaq, S.A. Khan, Phys. Plasmas 14, 052307 (2007)
S. Ali, W.M. Moslem, I. Kourakis, P.K. Shukla, New J. Phys. 10, 023007 (2008)
W. Masood, A.M. Mirza, M. Hanif, Phys. Plasmas 15, 072106 (2008)
A.P. Misra, A. Roychowdhury, Phys. Plasmas 13, 072305 (2006)
A.P. Misra, P.K. Shukla, C. Bhowmik, Phys. Plasmas 14, 082309 (2007)
A.P. Misra, P.K. Shukla, Phys. Plasmas 14, 082312 (2007)
C. Bhowmik, A.P. Misra, P.K. Shukla, Phys. Plasmas 14, 122107 (2007)
A.P. Misra, P.K. Shukla, Phys. Plasmas 15, 052105 (2008)
T. Taniuti, N. Yajima, J. Math. Phys. 10, 1369 (1969); N. Asano, T. Taniuti, N. Yajima, J. Math. Phys. 10, 2020 (1969); T. Kawahara, J. Phys. Soc. Jpn 35, 1537 (1973); P.K. Shukla, A.A. Mamun, New J. Phys. 5, 17 (2003)
X. Jukui, Lang He, Phys. Plasmas 10, 339 (2003)
X. Jukui, Phys. Plasmas 11, 1860 (2004)
M. Remoissenet, Waves Called Solitons (Springer-Verlag, Berlin, 1996); T. Dauxois, M. Peyrard, Physics of Solitons (Cambridge University Press, Cambridge, 2005)
R. Fedele, Phys. Scr. 65, 502 (2002); R. Fedele, H. Schamel, Eur. Phys. J. B 27, 313 (2002)
I. Kourakis, P.K. Shukla, Nonlinear Processes Geophys. 12, 407 (2005); I. Kourakis, P.K. Shukla, J. Plasma Phys. 71, 185 (2005)
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Sabry, R., Moslem, W. & Shukla, P. Planar and nonplanar ion-acoustic envelope solitary waves in a very dense electron-positron-ion plasma. Eur. Phys. J. D 51, 233–240 (2009). https://doi.org/10.1140/epjd/e2008-00286-8
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DOI: https://doi.org/10.1140/epjd/e2008-00286-8