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FIZIKA A 9 (2000) 2 , 75-86
ON THE EXISTENCE OF ION-ACOUSTIC SOLITON IN A WEAKLY RELATIVISTIC
PLASMA HAVING COLD IONS AND TWO-TEMPERATURE ELECTRONS
SANKAR CHATTOPADHYAYa,b, KAMAL KUMAR GHOSHc and
SAILENDRA NATH PAULa
aSerampore Girls' College, P.O. Serampore, Dist. Hooghly,
West Bengal, India
bPermanent Address: Daria J. L. N. Vidyalaya, P.O.
Thakuraniberia, Via: Taldi, Dist. 24 Parganas (S), West Bengal, India
cDepartment of Mathematics, Netaji Nagar College for Women,
Calcutta 700040, India
Received 16 November 1998; revised manuscript received 31 January 2000
Accepted 31 January 2000
Propagation of a finite-amplitude ion-acoustic solitary wave in a weakly-relativistic
plasma consisting of cold ions and warm electrons of two different temperatures have been
studied analytically. Sufficient and necessary conditions for the existence of
ion-acoustic solitons in such a plasma are obtained from which it is observed that both
the relativistic effect and the two-temperature electrons have important role for the
formation of the soliton. Critical values for the soliton amplitude and its velocity are
numerically estimated for different values of the concentration of two-temperature
electrons and relativistic stream velocity.
PACS numbers: 52.35.-g, 52.60.+h
UDC 531.742, 537.525
Keywords: ion-acoustic solitary wave, weakly-relativistic plasma, cold ions and warm
electrons of two different temperatures, critical values of amplitude and velocity
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