Effects of trapped electrons on the oblique propagation of ion acoustic solitary waves in electron-positron-ion plasmas

The characteristics of the nonlinear oblique propagation of ion acoustic solitary waves in unmagnetized plasmas consisting of Boltzmann positrons, trapped electrons and ions are investigated. The modified Kadomtsev-Petviashivili ( mKP) equation is derived employing the reductive perturbation technique. The parametric effects on phase velocity, Sagdeev potential, amplitude and width of solitons, and electrostatic ion acoustic solitary structures are graphically presented with the relevant physical explanations. This study may be useful for the better understanding of physical phenomena concerned in plasmas in which the effects of trapped electrons control the dynamics of wave.

[1]  Abdullah Al Mamun,et al.  Electrostatic solitary structures in a magnetized nonextensive plasma with q-distributed electrons , 2014 .

[2]  H. Alinejad.  Non-linear localized ion-acoustic waves in electron–positron–ion plasmas with trapped and non-thermal electrons , 2010 .

[3]  R. Taylor,et al.  Formation and Interaction of Ion-Acoustic Solitions , 1970 .

[4]  A. Bains,et al.  Ion acoustic soliton in weakly relativistic magnetized electron–positron–ion plasma , 2009 .

[5]  H. Schamel.  Role of Trapped Particles and Waves in Plasma Solitons-Theory and Application , 1979 .

[6]  M. Shahmansouri,et al.  Transverse perturbation on three-dimensional ion acoustic waves in electron–positron–ion plasma with high-energy tail electron and positron distribution , 2014 .

[7]  M. G. Hafez,et al.  Ion acoustic shock and solitary waves in highly relativistic plasmas with nonextensive electrons and positrons , 2016 .

[8]  Scott C. Wilks,et al.  Pair Production by Ultraintense Lasers , 1998 .

[9]  Yoshiharu Nakamura.  Experiments on Ion-Acoustic Solitons in Plasmas Invited Review Article , 1982, IEEE Transactions on Plasma Science.

[10]  Anders Eriksson,et al.  Freja multiprobe observations of electrostatic solitary structures , 1994 .

[11]  M. Hafez,et al.  Comment on “Electrostatic compressive and rarefactive shocks and solitons in relativistic plasmas occurring in polar regions of pulsar” , 2016 .

[12]  R. Sakthivel,et al.  Some New Electrostatic Potential Functions Used to Analyze the Ion-Acoustic Waves in a Thomas Fermi Plasma with Degenerate Electrons , 2015 .

[13]  Ya-Ling He,et al.  The effect of trapped electrons on the three-dimensional ion-acoustic shock wave in magnetized ionic-pair plasma , 2016 .

[14]  H. Alinejad.  Ion acoustic solitary waves in magnetized nonextensive electron-positron-ion plasma , 2013 .

[15]  R. Bostrom.  Observations of weak double layers on auroral field lines , 1992 .

[16]  F. Michel.  Theory of pulsar magnetospheres , 1982 .

[17]  M. Hafez,et al.  New analytical solutions for propagation of small but finite amplitude ion-acoustic waves in a dense plasma , 2016 .

[18]  R. Sakthivel,et al.  Ion acoustic solitary waves in plasmas with nonextensive distributed electrons, positrons and relativistic thermal ions , 2016 .

[19]  S. Mahmood,et al.  Modulational instability of ion acoustic wave with warm ions in electron-positron-ion plasmas , 2011 .

[20]  F. Cavaliere,et al.  Experimental investigation of the ion resonance instability in a trapped electron plasma , 2005 .

[21]  K. Lonngren.  Soliton experiments in plasmas , 1983 .

[22]  H. Schamel.  A modified Korteweg-de Vries equation for ion acoustic wavess due to resonant electrons , 1973, Journal of Plasma Physics.

[23]  M. Hafez,et al.  Ion acoustic solitary waves in plasmas with nonextensive electrons, Boltzmann positrons and relativistic thermal ions , 2015 .

[24]  Abdullah Al Mamun,et al.  Oblique propagation of ion-acoustic solitary waves in a magnetized electron-positron-ion plasma , 2015 .

[25]  M. Toida,et al.  Effects of trapped electrons on ion reflection in an oblique shock wave , 2015 .

[26]  Abdullah Al Mamun,et al.  Nonplanar dust ion-acoustic solitary and shock waves in a dusty plasma with electrons following a vortex-like distribution , 2010 .

[27]  H. Alinejad,et al.  Nonlinear propagation of ion-acoustic waves in electron-positron-ion plasma with trapped electrons , 2006 .

[28]  H. Schamel.  Analytic BGK modes and their modulational instability , 1975, Journal of Plasma Physics.

[29]  S. Vladimirov,et al.  Ion‐acoustic solitons in electron–positron–ion plasmas , 1995 .

[30]  H. Shah,et al.  Nonlinear Zakharov–Kuznetsov equation for obliquely propagating two-dimensional ion-acoustic solitary waves in a relativistic, rotating magnetized electron-positron-ion plasma , 2005 .

[31]  A. N. Dev,et al.  Dust Acoustic Compressive Waves in a Warm Dusty Plasma Having Non-Thermal Ions and Non-Isothermal Electrons , 2015 .

[32]  J. Meyer-ter-Vehn,et al.  Pair and γ-photon production from a thin foil confined by two laser pulses , 2001 .

[33]  M. Tran.  Ion Acoustic Solitons in a Plasma: A Review of their Experimental Properties and Related Theories , 1979 .

[34]  Greaves,et al.  Linear and nonlinear modes in nonrelativistic electron-positron plasmas. , 1995, Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics.

[35]  K. Lonngren,et al.  Collision of ion acoustic solitary waves in a magnetized plasma: Effect of dust grains and trapped electrons. , 2015, Physical review. E, Statistical, nonlinear, and soft matter physics.