**Commenced**in January 2007

**Frequency:**Monthly

**Edition:**International

**Paper Count:**32020

##### Nonlinear Propagation of Acoustic Soliton Waves in Dense Quantum Electron-Positron Magnetoplasma

**Authors:**
A. Abdikian

**Abstract:**

**Keywords:**
Bifurcation theory,
magnetized electron-positron plasma,
phase portrait,
the Zakharov-Kuznetsov equation.

**Digital Object Identifier (DOI):**
doi.org/10.5281/zenodo.1131365

**References:**

[1] B. Eliasson and P. K. Shukla, "Nonlinear Aspects of Quantum Plasma Physics: Nanoplasmonics and Nanostructures in Dense Plasmas," Plasma and Fusion Research, vol. 4, p. 032, 2009.

[2] P. K. Shukla and B. Eliasson, "Nonlinear aspects of quantum plasma physics," Physics-Uspekhi, vol. 53, p. 51, 2010.

[3] Y. D. Jung, "Quantum-mechanical effects on electron–electron scattering in dense high-temperature plasmas," Phys. Plasmas, vol. 8, p. 3842, 2001.

[4] G. Manfredi and F. Haas, "Self-consistent fluid model for a quantum electron gas," Physical Review B, vol. 64, p. 075316, 2001.

[5] W. Masood and B. Eliasson, "Electrostatic solitary waves in a quantum plasma with relativistically degenerate electrons," Physics of Plasmas, vol. 18, p. 034503, 2011.

[6] A. Abdikian and M. Bagheri, "Electrostatic waves in carbon nanotubes with an axial magnetic field," Phys. Plasmas, vol. 20, p. 102103, 2013.

[7] G. Manfredi, "How to model quantum plasmas," Fields Inst. Commun., vol. 46, p. 263, 2005.

[8] W. Moslem, I. Zeba, and P. Shukla, "Solitary acoustic pulses in quantum semiconductor plasmas," Applied Physics Letters, vol. 101, p. 032106, 2012.

[9] Y. T. Ma, S. H. Mao, and J. K. Xue, "Waves in a bounded quantum plasma with electron exchange-correlation effects," Physics of Plasmas, vol. 18, p. 102108, 2011.

[10] A. Abdikian, "The influence of external transverse magnetic field in propagation of electrostatic oscillations in single-walled carbon nanotube," The European Physical Journal D, vol. 70, p. 218, 2016.

[11] A. Abdikian and Z. Ehsan, "Propagation of electromagnetic waves in quantum plasmas magnetized slab," Physics Letters A, p. in press, 2017.

[12] F. Haas, L. G. Garcia, J. Goedert, and G. Manfredi, "Quantum ion-acoustic waves," Phys. Plasmas, vol. 10, p. 3858, 2003.

[13] R. Sagdeev, "Cooperative phenomena and shock waves in collisionless plasmas," Reviews of plasma physics, vol. 4, p. 23, 1966.

[14] F. Chen, Introduction to plasma physics and controlled fusion. New York: Plenum Press, 1984.

[15] S. Ali, W. Moslem, P. Shukla, and R. Schlickeiser, "Linear and nonlinear ion-acoustic waves in an unmagnetized electron-positron-ion quantum plasma," Physics of Plasmas, vol. 14, p. 082307, 2007.

[16] A. Misra, P. Shukla, and C. Bhowmik, "Electron-acoustic solitary waves in dense quantum electron-ion plasmas," Physics of Plasmas, vol. 14, p. 082309, 2007.

[17] S. Mahmood and Q. Haque, "Nonlinear electrostatic waves in inhomogeneous dense dusty magnetoplasmas," Physics Letters A, vol. 374, p. 872, 2010.

[18] P. Shukla, B. Dasgupta, and P. Sakanaka, "Nonlinear magnetohydrodynamics of electron–positron plasmas," Physics Letters A, vol. 269, p. 144, 2000.

[19] S. Mahmood, A. Mushtaq, and H. Saleem, "Ion acoustic solitary wave in homogeneous magnetized electron-positron-ion plasmas," New Journal of Physics, vol. 5, p. 28, 2003.

[20] P. Shukla, B. Eliasson, and L. Stenflo, "Electromagnetic solitary pulses in a magnetized electron-positron plasma," Physical Review E, vol. 84, p. 037401, 2011.

[21] M. Momeni, "Linear and nonlinear electromagnetic waves in a magnetized quantum electron-positron plasma," International Journal of Modern Physics C, vol. 26, p. 1550058, 2015.

[22] S. I. Popel, S. V. Vladimirov, and P. K. Shukla, "Ion‐acoustic solitons in electron-positron-ion plasmas," Physics of Plasmas, vol. 2, p. 716, 1995.

[23] S. Mahmood, N. Akhtar, and H. Ur-Rehman, "Acoustic solitons in magnetized quantum electron-positron plasmas," Physica Scripta, vol. 83, p. 035505, 2011.

[24] V. I. Berezhiani, V. Skarka, and S. Mahajan, "Relativistic solitary wave in an electron-positron plasma," Physical Review E, vol. 48, p. R3252, 11/01/ 1993.

[25] N. Iwamoto, "Electron-positron pair creation in relativistic shocks: Pair plasma in thermodynamic equilibrium," Physical Review A, vol. 39, p. 4076, 1989.

[26] G. Zank and R. Greaves, "Linear and nonlinear modes in nonrelativistic electron-positron plasmas," Physical Review E, vol. 51, p. 6079, 1995.

[27] F. Verheest and T. Cattaert, "Large amplitude solitary electromagnetic waves in electron-positron plasmas," Physics of Plasmas, vol. 11, p. 3078, 2004.

[28] I. Kourakis, A. Esfandyari Kalejahi, M. Mehdipoor, and P. K. Shukla, "Modulated electrostatic modes in pair plasmas: Modulational stability profile and envelope excitations," Physics of Plasmas, vol. 13, p. 052117, 2006.

[29] A. Esfandyari Kalejahi, I. Kourakis, M. Mehdipoor, and P. Shukla, "Electrostatic mode envelope excitations in e-p-i plasmas-application in warm pair ion plasmas with a small fraction of stationary ions," Journal of Physics A: Mathematical and General, vol. 39, p. 13817, 2006.

[30] A. Esfandyari Kalejahi, I. Kourakis, and P. Shukla, "Oblique modulation of electrostatic modes and envelope excitations in pair-ion and electron-positron plasmas," Physics of Plasmas, vol. 13, p. 122310, 2006.

[31] I. Kourakis, W. M. Moslem, U. M. Abdelsalam, R. Sabry, and P. K. Shukla, "Nonlinear dynamics of rotating multi-component pair plasmas and epi plasmas," Plasma and Fusion Research, vol. 4, p. 018, 2009.

[32] M. Yu, P. K. Shukla, and L. Stenflo, "Alfven vortices in a strongly magnetized electron-position plasma," The Astrophysical Journal, vol. 309, p. L63, 1986.

[33] Q. Haque, S. Mahmood, and A. Mushtaq, "Nonlinear electrostatic drift waves in dense electron-positron-ion plasmas," Physics of Plasmas, vol. 15, p. 082315, 2008.

[34] E. Behery, F. Haas, and I. Kourakis, "Weakly nonlinear ion-acoustic excitations in a relativistic model for dense quantum plasma," Physical Review E, vol. 93, p. 023206, 2016.

[35] M. A. Hossen and A. A. Mamun, "Nonlinear positron-acoustic waves in fully relativistic degenerate plasmas," Physica Scripta, vol. 91, p. 035201, 2016.

[36] A. Abdikian and S. Mahmood, "Acoustic solitons in a magnetized quantum electron-positron-ion plasma with relativistic degenerate electrons and positrons pressure," Physics of Plasmas, vol. 23, p. 122303, 2016.

[37] U. K. Samanta, A. Saha, and P. Chatterjee, "Bifurcations of dust ion acoustic travelling waves in a magnetized dusty plasma with a q-nonextensive electron velocity distribution," Physics of Plasmas, vol. 20, p. 022111, 2013.

[38] T. Kaladze and S. Mahmood, "Ion-acoustic cnoidal waves in plasmas with warm ions and kappa distributed electrons and positrons," Physics of Plasmas, vol. 21, p. 032306, 2014.

[39] E. El-Shamy, "Nonlinear ion-acoustic cnoidal waves in a dense relativistic degenerate magnetoplasma," Physical Review E, vol. 91, p. 033105, 2015.

[40] E. El-Shamy, R. Al-Chouikh, A. El-Depsy, and N. Al-Wadie, "Nonlinear propagation of electrostatic travelling waves in degenerate dense magnetoplasmas," Physics of Plasmas, vol. 23, p. 122122, 2016.

[41] S. N. Chow and J. K. Hale, Methods of bifurcation theory vol. 251. New York: Springer-Verlag, 1982.

[42] U. K. Samanta, A. Saha, and P. Chatterjee, "Bifurcations of nonlinear ion acoustic travelling waves in the frame of a Zakharov-Kuznetsov equation in magnetized plasma with a kappa distributed electron," Physics of Plasmas, vol. 20, p. 052111, 2013.

[43] F. Haas and S. Mahmood, "Linear and nonlinear ion-acoustic waves in nonrelativistic quantum plasmas with arbitrary degeneracy," Physical Review E, vol. 92, p. 053112, 11/25/ 2015.

[44] N. Crouseilles, P. A. Hervieux, and G. Manfredi, "Quantum hydrodynamic model for the nonlinear electron dynamics in thin metal films," Physical Review B, vol. 78, p. 155412, 10/09/ 2008.

[45] R. Maroof, A. Mushtaq, and A. Qamar, "Quantum dust magnetosonic waves with spin and exchange correlation effects," Physics of Plasmas, vol. 23, p. 013704, 2016.

[46] M. Shahmansouri, "The exchange-correlation effects on surface plasmon oscillations in semi-bounded quantum plasma," Physics of Plasmas vol. 22, p. 092106, 2015.

[47] K. Mebrouk, L. A. Gougam, and M. Tribeche, "Implication of the Electron Exchange-Correlation on Fully Nonlinear Quantum Dust Ion-Acoustic Solitons," Communications in Theoretical Physics, vol. 65, p. 73, 2016.

[48] N. A. El-Bedwehy and W. M. Moslem, "Zakharov-Kuznetsov-Burgers equation in superthermal electron-positron-ion plasma," Astrophysics and Space Science, vol. 335, p. 435, 2011.

[49] T. S. Gill, A. S. Bains, and N. S. Saini, "Ion acoustic soliton in weakly relativistic magnetized electron-positron-ion plasma," Canadian Journal of Physics, vol. 87, p. 861, 2009.

[50] R. C. Davidson and J. E. Scherer, "Methods in Nonlinear Plasma Theory," IEEE Transactions on Plasma Science, vol. 1, p. 58, 1973.

[51] H. Poincaré, "Sur l'équilibre d'une masse fluide animée d'un mouvement de rotation," Acta mathematica, vol. 7, p. 259, 1885.

[52] J. Guckenheimer and P. J. Holmes, Nonlinear oscillations, dynamical systems, and bifurcations of vector fields vol. 42. New York: Springer-Verlag, 1983.