Ion acoustic cnoidal waves in a dusty plasma with a critical dust density
- Southern Federal University, Research Institute of Physics (Russian Federation)
The propagation of nonlinear periodic ion acoustic waves in a dusty plasma is considered for conditions in which the coefficient in the nonlinear equation that describes the quadratic nonlinearity of the medium is zero. An equation that accounts for the cubic nonlinearity of the system is derived, and its solution is found. The dependence of the phase velocity of a cnoidal wave on its amplitude and modulus is determined. In describing the effect of higher order nonlinearities on the properties of a dust ion acoustic wave, two coupled equations for the first- and second-order potentials are obtained. It is shown that the nonlinear ion flux generated by a cnoidal wave propagating in a medium with a cubic nonlinearity is proportional to the fourth power of the wave amplitude.
- OSTI ID:
- 21443691
- Journal Information:
- Plasma Physics Reports, Vol. 35, Issue 8; Other Information: DOI: 10.1134/S1063780X09080054; Copyright (c) 2009 Pleiades Publishing, Ltd.; ISSN 1063-780X
- Country of Publication:
- United States
- Language:
- English
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