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Articles

New analytical solutions for propagation of small but finite amplitude ion-acoustic waves in a dense plasma

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Pages 68-79 | Received 06 Mar 2015, Accepted 18 Oct 2015, Published online: 13 Nov 2015

References

  • Chen, FF. Introduction to plasman physics and controlled fusion. London: Plenum Press, 1985.
  • Shukla PK, Mamun AA, Stenflo L. Vortices in a strongly magnetized electron–positron–ion Plasma. Phys. Scr. 2003;68:295–297.10.1238/Physica.Regular.068a00295
  • Shukla PK, Mendonca JT, Bingham R. Low-frequency electromagnetic waves in a magnetized electron-positron-ion plasma. Phys. Scr. T. 2004;113:133–134.
  • Popel SI, Vladimirov SV, Shukla PK. Ion-acoustic solitons in electron-positron-ion plasmas. Phys. Scr. 1995;2:716–719.
  • Miller HR, Witta PJ. Active galactic nuclei. Berlin: Springer-Verlag; 1987.
  • Lavagno A, Pigato D. Nonextensive statistical effects in protoneutron stars. Eur. Phys. J. A. 2011;47:52-1–52-9.10.1140/epja/i2011-11052-1
  • Burns ML, Harding AK, Ramaty R. Positron-Electron Pairs in Astrophysics. New York (NY): American Institute of Physics; 1983.
  • Kourakis A, Esfandyari-Khalejahi M, Mehdipoor M, et al. Modulated electrostatic modes in pair plasmas: Modulational stability profile and envelope excitations. Phys. Plasmas. 2006;13:052117.10.1063/1.2203951
  • Kakutani T, Sugimoto N. Krylov-Bogollubov-Mitropolsky method for nonlinear wave modulation. Phys. Fluids. Phys. Fluids. 1974;17:1617–1625.10.1063/1.1694942
  • Roy K, Misra AP, Chatterjee P. Ion-acoustic shocks in quantum electron-positron-ion. Phys. Plasmas. 2008;15:032310-1–032310-7.10.1063/1.2896231
  • Shah A, Saeed R. Ion acoustic shock waves in a relativistic electron–positron–ion plasmas. Phys. Lett. A. 2009;373:4164–4168.10.1016/j.physleta.2009.09.028
  • Ferdousi M, Yasmin S, Ashraf S, et al. Nonlinear propagation of ion-acoustic waves in an electron-positron-ion plasma. Astrophys. Space Sci. 2014;352:579–584.10.1007/s10509-014-1950-7
  • Ashraf S, Yasmin S, Asaduzzaman M, et al. Electrostatic solitary structures in a magnetized nonextensive plasma with q-distributed electrons. Plasma Phys. Rep. 2014;40:306–311.10.1134/S1063780X14030015
  • Sultana S, Kourakis I, Saini NS, et al. Oblique electrostatic excitations in a magnetized plasma in the presence of excess superthermal electrons. Phys. Plasmas. 2010;17:032310-1–032310-10.10.1063/1.3322895
  • Alinejad H. Ion acoustic solitary waves in magnetized nonextensive electron-positron-ion plasma. Astrophys. Space Sci. 2013;345:85–90.10.1007/s10509-013-1363-z
  • Mahmood S, Akhtar N. Ion acoustic solitary waves with adiabatic ions in magnetized electron-positron-ion plasmas. Eur. Phys. J. D. 2008;49:217–222.10.1140/epjd/e2008-00165-4
  • Mehdipoor M, Neirameh A. New exact solutions for nonlinear solitary waves in Thomas-Fermi plasmas with (G′/G)-expansion method. Astrophys. Space Sci. 2012;337:269–274.10.1007/s10509-011-0843-2
  • Manfredi G. How to model quantum plasmas. Fields Inst. Commun. 2005;46:263–287.
  • Gardner C. The quantum hydrodynamic model for semiconductor devices. SIAM J. Appl. Math. 1994;54:409–427.10.1137/S0036139992240425
  • Bonitz M, Semkat D, Filinov A, et al. Theory and simulation of strong correlations in quantum Coulomb systems. J. Phys. A. 2003;36:5921–5930.10.1088/0305-4470/36/22/313
  • Esfandyaari-Klajahi, A, Akbari-Moghanjoughi, M, Saberian, E. Relativistic degeneracy effect on propagation of arbitrary amplitude ion-acousticsSolitons in Thomas-Fermi plasmas. Plasma Fusion Res. 2010;5:45-1–45-5.
  • Hafez MG, Alam MN, Akbar MA. Application of the exp (-Φ(η))-expansion method to find exact solutions for the solitary wave equation in an unmagnatized dusty plasma. World Appl. Sci. J. 2014;32:2150–2155.
  • Lee J, Sakthivel R. Exact travelling wave solutions of a variety of Boussinesq-like equations. Chin. J. Phys. 2014;52:939–957.
  • Choi JH, Kim H, Sakthivel R. Exact solution of the wick-type stochastic fractional coupled KdV equations. J. Math. Chem. 2014;52:2482–2493.10.1007/s10910-014-0406-1
  • Eslami M, Mirzazadeh M. Exact solutions for power-law regularized long-wave and R(m, n) equations with time-dependent coefficients. Rep. Math. Phys. 2014;73:77–90.10.1016/S0034-4877(14)60033-1
  • Dehghan M, Nikpourahmadi A. The solitary wave solution of coupled Klein–Gordon–Zakharov equations via two different numerical methods. Comput. Phys. Commun. 2013;184:2145–2158.10.1016/j.cpc.2013.04.010
  • Ray SS. Soliton solutions for time fractional coupled modified KdV equations using new coupled fractional reduced differential transform method. J. Math. Chem. 2013;58:2214–2229.10.1007/s10910-013-0210-3
  • Fan EG. Extended tanh-function method and its applications to nonlinear equations. Phys. Lett. A. 2000;277:212–218.10.1016/S0375-9601(00)00725-8
  • Wazwaz AM. The extended tanh method for new compact and noncompact solutions for the KP–BBM and the ZK–BBM equations. Chaos Solitons Fractals. 2008;38:1505–1516.10.1016/j.chaos.2007.01.135
  • Zhu S. The generalizing Riccati equation mapping method in non-linear evolution equation: application to (2 + 1)-dimensional Boiti–Leon–Pempinelle equation. Chaos Solitons Fractals. 2008;37:1335–1342.10.1016/j.chaos.2006.10.015
  • Chandrasekhar S. An introduction to the study of stellar structure. Chicago (IL): The University of Chicago press; 1939.
  • Saeed R, Shah A, Noaman-ul-Haq M. Nonlinear Korteweg–de Vries equation for soliton propagation in relativistic electron-positron-ion plasma with thermal ions. Phys. Plasmas. 2010;17:102301-1–102301-6.10.1063/1.3481773
  • Hafez MG, Talukder MR. Ion acoustic solitary waves in plasmas with nonextensive electrons, Boltzmann positrons and relativistic thermal ions. Astrophys Space Sci. 2015;359:27-1–27-6.10.1007/s10509-015-2480-7

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