Table of Contents
Journal of Astrophysics
Volume 2014 (2014), Article ID 653065, 8 pages
http://dx.doi.org/10.1155/2014/653065
Research Article

Planar and Nonplanar Solitary Waves in a Four-Component Relativistic Degenerate Dense Plasma

Department of Physics, Jahangirnagar University, Savar, Dhaka 1342, Bangladesh

Received 31 May 2014; Revised 3 September 2014; Accepted 4 September 2014; Published 23 October 2014

Academic Editor: Milan S. Dimitrijevic

Copyright © 2014 M. R. Hossen et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Linked References

  1. S. L. Shapiro and S. A. Teukolsky, Black Holes, White Dwarfs and Neutron Stars: The Physics of Compact Objects, John Wiley & Sons, New York, NY, USA, 1983.
  2. A. K. Harding and D. Lai, “Physics of strongly magnetized neutron stars,” Reports on Progress in Physics, vol. 69, no. 9, p. 2631, 2006. View at Publisher · View at Google Scholar
  3. M. Temerin, K. Cerny, W. Lotko, and F. S. Mozer, “Observations of double layers and solitary waves in the auroral plasma,” Physical Review Letters, vol. 48, no. 17, pp. 1175–1179, 1982. View at Publisher · View at Google Scholar · View at Scopus
  4. R. Boström, G. Gustafsson, B. Holback, G. Holmgren, H. Koskinen, and P. Kintner, “Characteristics of solitary waves and weak double layers in the magnetospheric plasma,” Physical Review Letters, vol. 61, p. 82, 1988. View at Google Scholar
  5. P. O. Dovner, A. I. Eriksson, R. Bostrom, and B. Holback, “Freja multiprobe observations of electrostatic solitary structures,” Geophysical Research Letters, vol. 21, no. 17, pp. 1827–1830, 1994. View at Publisher · View at Google Scholar · View at Scopus
  6. H. Ikezi, R. J. Tailor, and D. R. Baker, “Formation and interaction of ion-acoustic solitions,” Physical Review Letters, vol. 25, article 11, 1970. View at Publisher · View at Google Scholar
  7. H. Washimi and T. Taniuti, “Propagation of ion-acoustic solitary waves of small amplitude,” Physical Review Letters, vol. 17, no. 19, pp. 996–998, 1966. View at Publisher · View at Google Scholar · View at Scopus
  8. N. Roy, S. Tasnim, and A. A. Mamun, “Solitary waves and double layers in an ultra-relativistic degenerate dusty electron-positron-ion plasma,” Physics of Plasmas, vol. 19, no. 3, Article ID 033705, 2012. View at Publisher · View at Google Scholar · View at Scopus
  9. L. Nahar, M. S. Zobaer, N. Roy, and A. A. Mamun, “Ion-acoustic K-dV and mK-dV solitons in a degenerate electron-ion dense plasma,” Physics of Plasmas, vol. 20, Article ID 022304, 2013. View at Publisher · View at Google Scholar
  10. G. B. van Albada, “On the origin of the heavy elements,” Astrophysical Journal, vol. 105, p. 393, 1947. View at Publisher · View at Google Scholar
  11. S. Chandrasekhar, “The density of white Dwarf stars,” Philosophical Magazine, vol. 11, pp. 592–596, 1931. View at Google Scholar
  12. S. Chandrasekhar, “Stellar configurations with degenerate cores,” Monthly Notices of the Royal Astronomical Society, vol. 95, p. 676, 1935. View at Google Scholar
  13. M. R. Hossen, L. Nahar, and A. A. Mamun, “Roles of arbitrarily charged heavy ions and degenerate plasma pressure in cylindrical and spherical IA shock waves,” Physica Scripta, vol. 89, no. 10, Article ID 105603, 2014. View at Google Scholar
  14. A. A. Mamun and P. K. Shukla, “Solitary waves in an ultrarelativistic degenerate dense plasma,” Physics of Plasmas, vol. 17, no. 10, Article ID 104504, 2010. View at Publisher · View at Google Scholar · View at Scopus
  15. M. S. Zobaer, N. Roy, and A. A. Mamun, “DIA solitary and shock waves in dusty multi-ion dense plasma with arbitrary charged dust,” Journal of Modern Physics, vol. 3, no. 8, pp. 755–761, 2012. View at Google Scholar
  16. M. S. Zobaer, N. Roy, and A. A. Mamun, “Nonlinear propagation of dust ion-acoustic waves in dusty multi-ion dense plasma,” Astrophysics and Space Science, vol. 343, no. 2, pp. 675–681, 2013. View at Publisher · View at Google Scholar · View at Scopus
  17. M. M. Hossain, A. A. Mamun, and K. S. Ashrafi, “Cylindrical and spherical dust ion-acoustic Gardner solitons in a quantum plasma,” Physics of Plasmas, vol. 18, no. 10, Article ID 103704, 2011. View at Publisher · View at Google Scholar · View at Scopus
  18. S. Chandra, S. N. Paul, and B. Ghosh, “Electron-acoustic solitary waves in a relativistically degenerate quantum plasma with two-temperature electrons,” Astrophysics and Space Science, vol. 343, no. 1, pp. 213–219, 2013. View at Publisher · View at Google Scholar
  19. M. Akbari-Moghanjoughi, “Nonlinear ion waves in Fermi-Dirac pair plasmas,” Physics of Plasmas, vol. 18, Article ID 012701, 2011. View at Publisher · View at Google Scholar
  20. S. Chandra and B. Ghosh, “Modulational instability of electron-acoustic waves in relativistically degenerate quantum plasma,” Astrophysics and Space Science, vol. 342, no. 2, pp. 417–424, 2012. View at Publisher · View at Google Scholar
  21. M. Akbari-Moghanjoughi, “Comment on “the effects of Bohm potential on ion-acoustic solitary waves interaction in a nonplanar quantum plasma” [Phys. Plasmas 17, 082307 (2010)],” Physics of Plasmas, vol. 17, no. 11, Article ID 114701, 2010. View at Publisher · View at Google Scholar · View at Scopus
  22. G. Manfredi, “How to model quantum plasmas,” Fields Institute Communications, vol. 46, pp. 263–287, 2005. View at Google Scholar
  23. G. Brodin and M. Marklund, “Spin magnetohydrodynamics,” New Journal of Physics, vol. 9, article 277, 2007. View at Publisher · View at Google Scholar · View at Scopus
  24. W. F. El-Taibany, A. A. Mamun, and K. H. El-Shorbagy, “Nonlinear electromagnetic perturbations in a degenerate electron-positron plasma,” Advances in Space Research, vol. 50, no. 1, pp. 101–107, 2012. View at Publisher · View at Google Scholar · View at Scopus
  25. J. T. Mendonca and A. Serbeto, “Volkov solutions for relativistic quantum plasmas,” Physical Review E, vol. 83, Article ID 026406, 2011. View at Publisher · View at Google Scholar
  26. W. Masood and B. Eliasson, “Electrostatic solitary waves in a quantum plasma with relativistically degenerate electrons,” Physics of Plasmas, vol. 18, no. 3, Article ID 034503, 2011. View at Publisher · View at Google Scholar · View at Scopus
  27. P. K. Shukla, A. A. Mamun, and D. A. Mendis, “Nonlinear ion modes in a dense plasma with strongly coupled ions and degenerate electron fluids,” Physical Review E, vol. 84, Article ID 026405, 2011. View at Publisher · View at Google Scholar
  28. I. Zeba, W. M. Moslem, and P. K. Shukla, “Ion solitary pulses in warm plasmas with ultrarelativistic degenerate electrons and positrons,” Astrophysical Journal, vol. 750, no. 1, article 72, 2012. View at Publisher · View at Google Scholar · View at Scopus
  29. M. S. Zobaer, N. Roy, and A. A. Mamun, “Ion-acoustic shock waves in a degenerate dense plasma,” Journal of Plasma Physics, vol. 79, no. 1, pp. 65–68, 2013. View at Publisher · View at Google Scholar · View at Scopus
  30. S. Maxon and J. Viecelli, “Spherical Solitons,” Physical Review Letters, vol. 32, no. 1, pp. 4–6, 1974. View at Publisher · View at Google Scholar · View at Scopus
  31. B. Eliasson and P. K. Shukla, “The formation of electrostatic shocks in quantum plasmas with relativistically degenerate electrons,” Europhysics letters, vol. 97, p. 15001, 2011. View at Google Scholar
  32. F. Ferro, A. Lavagno, and P. Quarati, “Non-extensive resonant reaction rates in astrophysical plasmas,” European Physical Journal A, vol. 21, no. 3, pp. 529–534, 2004. View at Publisher · View at Google Scholar · View at Scopus
  33. A. R. Plastino and A. Plastino, “Stellar polytropes and Tsallis' entropy,” Physics Letters A, vol. 174, no. 5-6, pp. 384–386, 1993. View at Publisher · View at Google Scholar · View at MathSciNet · View at Scopus
  34. G. Gervino, A. Lavagno, and D. Pigato, “Nonextensive statistical effects in the quark-gluon plasma formation at relativistic heavy-ion collisions energies,” Central European Journal of Physics, vol. 10, no. 3, pp. 594–601, 2012. View at Publisher · View at Google Scholar
  35. A. Lavagno and D. Pigato, “Nonextensive statistical effects in protoneutron stars,” European Physical Journal A, vol. 47, no. 4, article 52, 2011. View at Publisher · View at Google Scholar · View at Scopus
  36. C. Féron and J. Hjorth, “Simulated dark-matter halos as a test of nonextensive statistical mechanics,” Physical Review E, vol. 77, Article ID 022106, 2008. View at Google Scholar