Effects of higher order contribution and of ion temperature on ion-acoustic solitary waves

1979 ◽  
Vol 57 (3) ◽  
pp. 490-495 ◽  
Author(s):  
C. S. Lai
Keyword(s):  
Solitary Waves ◽  
Stationary Solutions ◽  
Higher Order ◽  
Reductive Perturbation Method ◽  
Inhomogeneous Equation ◽  
Ion Temperature ◽  
Coupled Equations ◽  
Basic Set ◽  
Ion Acoustic Solitary Waves ◽  
Ion Acoustic

The combined effects of ion temperature and higher order corrections on ion-acoustic solitary waves are studied on the basis of the reductive perturbation method. The basic set of fluid equations for warm-ion fluid are reduced to the renormalized warm-ion Korteweg – de Vries equation for the first-order perturbed potential and a renormalized linear inhomogeneous equation for the second-order perturbed potential. Stationary solutions of the coupled equations are obtained, and the velocity and width of solitons calculated are in agreement with the experimental observation.

Ion-acoustic solitary waves in a weakly relativistic warm plasma at the critical phase velocity

1996 ◽  
Vol 56 (1) ◽  
pp. 13-24 ◽  
Author(s):  
S. K. El-Labany ◽  
H. O. Nafie ◽  
A. El-Sheikh
Keyword(s):  
Phase Velocity ◽  
Solitary Waves ◽  
Mkdv Equation ◽  
Inhomogeneous Equation ◽  
Coupled Equations ◽  
Basic Set ◽  
Ion Acoustic Solitary Waves ◽  
Ion Acoustic ◽  
Critical Phase ◽  
Warm Plasma

Ion-acoustic solitary waves in a weakly relativistic warm plasma at the critical phase velocity are investigated using reductive perturbation theory. The basic set of fluid equations describing the system is reduced to a renormalized warmion modified Korteweg—de Vries (mKdV) equation for the first-order perturbed potential and a renormalized linear inhomogeneous equation for the second-order perturbed potential. The stationary solution of the coupled equations is obtained. The cold-plasma limit is considered in order to rule comparisons with work of Pakira et al.

Higher order nonlinear and dispersive effects on ion-acoustic solitary waves

1991 ◽  
Vol 69 (7) ◽  
pp. 822-827 ◽  
Author(s):  
K. P. Das ◽  
S. R. Majumdar
Keyword(s):  
Solitary Wave ◽  
Higher Order ◽  
Reductive Perturbation Method ◽  
Inhomogeneous Equation ◽  
Governing Equations ◽  
First Order ◽  
Ion Acoustic Solitary Waves ◽  
Reductive Perturbation ◽  
Ion Acoustic ◽  
Higher Order Corrections

Starting from an integrated form of the system of governing equations in terms of pseudopotential, higher order nonlinear and dispersive effects are obtained for an ion-acoustic solitary wave. The advantage of the method developed here is that instead of solving a second-order inhomogeneous differential equation at each order in the reductive perturbation method, we are to solve a first-order inhomogeneous equation at each order. Expressions are obtained for both the Mach number and the width of the solitary wave as functions of amplitude, including higher order corrections.

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 the third-order contribution on ion-acoustic solitary waves

1979 ◽  
Vol 57 (12) ◽  
pp. 2136-2142 ◽  
Author(s):  
C. S. Lai
Keyword(s):  
Solitary Waves ◽  
Order Approximation ◽  
Reductive Perturbation Method ◽  
Renormalization Scheme ◽  
Third Order ◽  
The Third ◽  
Ion Acoustic Solitary Waves ◽  
Ion Acoustic ◽  
Third Order Approximation ◽  
Secular Terms

The effect of the third-order corrections on ion-acoustic solitary waves is studied on the basis of the reductive perturbation method. The secular terms in the third-order approximation are eliminated by employing the renormalization scheme of Kodama and Taniuti in an unambiguous manner. It is found that the contribution of the third-order corrections to the soliton velocities and widths is rather minimal.

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