Arbitrary-amplitude electron acoustic solitary waves in a plasma

1995 ◽  
Vol 53 (1) ◽  
pp. 25-29 ◽  
Author(s):  
Prasanta Chatterjee ◽  
Rajkumar Roychoudhury
Keyword(s):  
Solitary Waves ◽  
Numerical Technique ◽  
Soliton Solutions ◽  
Analytical Form ◽  
Complete Agreement ◽  
Ion Temperature ◽  
Sagdeev Potential ◽  
Arbitrary Amplitude ◽  
Pseudopotential Approach ◽  
Electron Acoustic

Recently Mace et at. studied electron-acoustic solitary waves in a plasma using a pseudopotential approach. To find the finite ion-temperature Sagdeev potential, they used a numerical technique developed by Baboolal, Bharuthram & Hellberg. In this paper we show that the exact pseudopotential can be obtained in this case in an analytical form. The numerical results obtained by Mace et at. are compared with our result, and complete agreement is found. We also discuss the conditions for the existence of solitary-wave solutions, and obtain the soliton solutions in some cases when these conditions are satisfied.

Effect of ion temperature on ion-acoustic solitary waves in a two-ion plasma

1988 ◽  
Vol 66 (6) ◽  
pp. 467-470 ◽  
Author(s):  
Sikha Bhattacharyya ◽  
R. K. Roychoudhury
Keyword(s):  
Mach Number ◽  
Analytical Solution ◽  
Solitary Waves ◽  
Experimental Result ◽  
Ion Temperature ◽  
Ion Plasma ◽  
Ion Acoustic Solitary Waves ◽  
Ion Acoustic ◽  
Cold Ions ◽  
Pseudopotential Approach

The effect of ion temperature on ion-acoustic solitary waves in the case of a two-ion plasma has been investigated using the pseudopotential approach of Sagdeev. An analytical solution for relatively small amplitudes has also been obtained. Our result has been compared, whenever possible, with the experimental result obtained by Nakamura. It is found that a finite ion temperature considerably modifies the restrictions on the Mach number obtained for cold ions.

Effect of ion temperature on arbitrary amplitude ion acoustic solitary waves in quantum electron-ion plasmas

2009 ◽  
Vol 16 (4) ◽  
pp. 042311 ◽  
Author(s):  
Prasanta Chatterjee ◽  
Kaushik Roy ◽  
Sithi V. Muniandy ◽  
S. L. Yap ◽  
C. S. Wong
Keyword(s):  
Solitary Waves ◽  
Ion Temperature ◽  
Quantum Electron ◽  
Ion Acoustic Solitary Waves ◽  
Ion Acoustic ◽  
Arbitrary Amplitude

Effect of ion temperature on ion-acoustic solitary waves: a pseudopotential approach

1987 ◽  
Vol 65 (7) ◽  
pp. 699-702 ◽  
Author(s):  
R. K. Roychoudhury ◽  
Sikha Bhattacharyya
Keyword(s):  
Mach Number ◽  
Solitary Waves ◽  
Soliton Solution ◽  
Ion Temperature ◽  
Collisionless Plasmas ◽  
Ion Acoustic Solitary Waves ◽  
Ion Acoustic ◽  
Cold Ions ◽  
Pseudopotential Approach ◽  
Published Result

Using the pseudopotential approach of Sagdeev, we have found analytically exact conditions for the existence of solitary waves for a system of collisionless plasmas with a mixture of warm ion-fluid and hot isothermal electrons. The analytical soliton solution for small amplitudes has also been obtained and has been compared with the published result. It is found that the finite ion temperature considerably modifies the restriction on the Mach number obtained for cold ions.

Arbitrary-amplitude electron-acoustic solitons in a two-electron-component plasma

1991 ◽  
Vol 45 (3) ◽  
pp. 323-338 ◽  
Author(s):  
R. L. Mace ◽  
S. Baboolal ◽  
R. Bharuthram ◽  
M. A. Hellberg
Keyword(s):  
Perturbation Technique ◽  
Soliton Solutions ◽  
Hot Electron ◽  
Electron Component ◽  
Initial Value ◽  
Wave Measurements ◽  
Component Plasma ◽  
Arbitrary Amplitude ◽  
Electron Acoustic ◽  
Nonlinear Fluid

Motivated by plasma and wave measurements in the cusp auroral region, we have investigated electron-acoustic solitons in a plasma consisting of fluid ions, a cool fluid electron and a hot Boltzmann electron component. A recently described method of integrating the full nonlinear fluid equations as an initial-value problem is used to construct electron-acoustic solitons of arbitrary amplitude. Using the reductive perturbation technique, a Korteweg-de Vries equation, which includes the effects of finite cool-electron and ion temperatures, is derived, and results are compared with the full theory. Both theories admit rarefactive soliton solutions only. The solitons are found to propagate at speeds greater than the electron sound speed (ε0c/ε0ε)½υε, and their profiles are independent of ion parameters. It is found that the KdV theory is not a good approximation for intermediate-strength solitons. Nor does it exhibit the fact that the cool- to hot-electron temperature ratio restricts the parameter range over which electron-acoustic solitons may exist, as found in the arbitrary-amplitude calculations.

Large-amplitude solitary waves in a relativistic nonisothermal plasma with warm ions

2000 ◽  
Vol 78 (4) ◽  
pp. 267-275
Author(s):  
R Roychoudhury ◽  
P Chatterjee
Keyword(s):  
Solitary Waves ◽  
Large Amplitude ◽  
Small Amplitude ◽  
Relativistic Effect ◽  
Soliton Solutions ◽  
Critical Value ◽  
Ion Temperature ◽  
52.35 Tc ◽  
Nonisothermal Plasma ◽  
52.35 Fp

Large amplitude solitary waves in a relativistic plasma with non-isothermal electrons and finite ion temperature are studied using Sagdeev's pseudopotential technique. It is found that there exists a critical value of beta, the ratio of the temperatures of the free and trapped electrons respectively, beyond which soliton solutions cease to exist. This critical value depends on other parameters. Also the relativistic effect and finite ion temperature restrict the region of existence of solitary waves. A small amplitude expansion of the pseudopotential is derived to find different kinds of solitary waves.PACS Nos.: 52.35 Fp, 52.35 Sb, 52.35 Tc

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