Nonlinear ion-acoustic cnoidal wave structures are studied in an unmagnetized quantum plasma. Using the reductive perturbation method, a Korteweg-de Vries equation is derived for appropriate boundary conditions and nonlinear periodic wave solutions are obtained. The corresponding analytical solution and numerical plots of the ion-acoustic cnoidal waves and solitons in the phase plane are presented using the Sagdeev pseudo-potential approach. The variations in the nonlinear potential of the ion-acoustic cnoidal waves are studied at different values of quantum parameter He which is the ratio of electron plasmon energy to electron Fermi energy defined for degenerate electrons. It is found that both compressive and rarefactive ion-acoustic cnoidal wave structures are formed depending on the value of the quantum parameter. The dependence of the wavelength and frequency on nonlinear wave amplitude is also presented.
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October 2014
Research Article|
October 21 2014
Ion-acoustic cnoidal waves in a quantum plasma
S. Mahmood;
S. Mahmood
1Physics Institute,
Federal University of Rio Grande do Sul
, RS, Porto Alegre 915051-970, Brazil
2Theoretical Physics Division (TPD),
PINSTECH
P.O. Nilore, Islamabad 44000, Pakistan
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F. Haas
F. Haas
1Physics Institute,
Federal University of Rio Grande do Sul
, RS, Porto Alegre 915051-970, Brazil
Search for other works by this author on:
Phys. Plasmas 21, 102308 (2014)
Article history
Received:
August 23 2014
Accepted:
October 10 2014
Citation
S. Mahmood, F. Haas; Ion-acoustic cnoidal waves in a quantum plasma. Phys. Plasmas 1 October 2014; 21 (10): 102308. https://doi.org/10.1063/1.4899041
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