FIZIKA A 9 (2000) 2 , 75-86

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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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