EFFECT OF BOUNDARY, ELECTRON INERTIA AND STREAMING ON LARGE AMPLITUDE WAVES IN A RELATIVISTIC PLASMA

Nonlineaer wave propagation in a relativistic bounded plasma is analysed through the pseudopotential approach by taking into account the streaming of electrons, and electron inertia. The finite geometry is seen to effect both the forward moving and reflected modes of propagation. Its dependence on the electron–ion mass ratio is also critically analysed. In the second part of the paper we study the formation of solitons through the pseudopotential approach. The variation of the form of the pseudopotential is studied with respect to the radius of the bounding system, the electron–ion mass ratio, and the streaming velocity u0. It is observed that the finite geometry and electron inertia significantly affect the solitary wave formation.

[1]  Hitendra K. Malik,et al.  Ion acoustic solitons in a relativistic warm plasma with density gradient , 1995 .

[2]  Majumdar,et al.  Higher-order contributions to ion-acoustic solitary waves in a multicomponent plasma consisting of warm ions and two-component nonisothermal electrons. , 1995, Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics.

[3]  Y. Nakamura,et al.  Solitary waves in an ion-beam-plasma system , 1995, Journal of Plasma Physics.

[4]  A. Chowdhury,et al.  Effect of electron inertia on double layers in a relativistic hot plasma , 1994 .

[5]  Y. Nejoh Double layers, spiky solitary waves, and explosive modes of relativistic ion‐acoustic waves propagating in a plasma , 1992 .

[6]  H. H. Kuehl,et al.  The effect of electron inertia on solitary waves in a plasma with an ion beam , 1992 .

[7]  S. Baboolal,et al.  Electron-acoustic solitons in a weakly relativistic plasma , 1992, Journal of Plasma Physics.

[8]  S. Paul,et al.  Ion acoustic solitons in a streaming relativistic plasma with negative ions , 1992 .

[9]  H. H. Kuehl,et al.  Nonlinear Phenomena, Turbulence, Transport Effects of Ion drift on small-amplitude ion-acoustic solitons , 1991 .

[10]  A. Chowdhury,et al.  Higher-order corrections to solitary waves in a non-isothermal relativistic plasma with cold ions and two-temperature electrons , 1990, Journal of Plasma Physics.

[11]  S. R. Sharma,et al.  Propagation of ion Langmuir plasma oscillations and soliton in a waveguide , 1990 .

[12]  A. R. Chowdhury,et al.  On the ion-acoustic soliton in a relativistic beam ion plasma system , 1989 .

[13]  B. Ghosh,et al.  Effects of higher-order nonlinearity and finite geometry on the propagation of KdV solitons , 1988, Journal of Plasma Physics.

[14]  A. Chowdhury,et al.  On the effect of Landau damping in a relativistic electron acoustic plasma , 1988 .

[15]  R. Roychoudhury,et al.  Effect of ion temperature on ion-acoustic solitary waves in a two-ion plasma , 1988 .

[16]  J. F. Mckenzie,et al.  Solitons in an ion-beam plasma , 1988, Journal of Plasma Physics.

[17]  S. Paul,et al.  Propagation of solitary waves in relativistic plasmas , 1988 .

[18]  Y. Nejoh Ion acoustic shocks in the vicinity of the critical density in a two-electron-temperature plasma , 1987 .

[19]  Y. Nejoh Ion acoustic double layers in the vicinity of the critical velocity in a weakly relativistic plasma , 1987 .

[20]  B. Dasgupta,et al.  Theory and observations of Alfve´n solitons in the finite beta magnetospheric plasma , 1987 .

[21]  Y. Nejoh The effect of the ion temperature on the ion acoustic solitary waves in a collisionless relativistic plasma , 1987, Journal of Plasma Physics.

[22]  S. Paul,et al.  Ion-acoustic solitary waves in two-temperature electron plasmas , 1986 .

[23]  Yoko Hase,et al.  Cylindrical Ion Acoustic Soliton in Plasma with Negative Ion , 1985 .

[24]  S. Paul,et al.  Ion‐acoustic solitary waves in relativistic plasmas , 1985 .

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

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

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

[28]  N. N. Rao,et al.  Ion acoustic solitary waves in density and temperature gradients , 1978 .

[29]  P. Kaw,et al.  Propagation of solitary ion acoustic waves in inhomogeneous plasmas , 1975 .

[30]  H. Ikezi Experiments on Ion-Acoustic Solitary Waves , 1973 .

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

[32]  H. Schamel Stationary solitary, snoidal and sinusoidal ion acoustic waves , 1972 .

[33]  P. H. Sakanaka Formation and Interaction of Ion‐Acoustic Solitary Waves in a Collisionless Warm Plasma , 1972 .

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

[35]  H. Washimi,et al.  ON THE PROPAGATION OF ION ACOUSTIC SOLITARY WAVES OF SMALL AMPLITUDE. , 1966 .