Ion acoustic cnoidal waves in a dusty plasma with a critical dust density |
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Authors: | V V Prudskikh |
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Institution: | 1.Research Institute of Physics,Southern Federal University,Rostov-on-Don,Russia |
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Abstract: | 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. |
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Keywords: | |
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