Experimental observation of cnoidal waveform of nonlinear dust acoustic waves

Liu, Bin; Goree, J.; Flanagan, T. M.; Sen, Abhijit; Tiwari, Sanat Kumar; Ganguli, Gurudas; Crabtree, Chris

doi:10.1063/1.5046402

Title: Experimental observation of cnoidal waveform of nonlinear dust acoustic waves

Journal Article · Mon Nov 05 00:00:00 EST 2018 · Physics of Plasmas

DOI:https://doi.org/10.1063/1.5046402· OSTI ID:1863399

Liu, Bin ^[1];

^[1];

^[1]; Sen, Abhijit ^[2]; Tiwari, Sanat Kumar ^[3]; Ganguli, Gurudas ^[4];

^[4]

Univ. of Iowa, Iowa City, IA (United States)
Inst. for Plasma Research, Gandhinagar (India)
Indian Inst. of Technology Jammu, Jammu and Kashmir (India)
Naval Research Lab., Washington, DC (United States)

The experimentally measured waveform of nonlinear dust acoustic waves in a plasma is shown to be accurately described by a cnoidal function. This function, which is predicted by nonlinear theory, has broad minima and narrow peaks. Fitting the experimental waveforms to the cnoidal function also provides a measure of the wave’s nonlinearity, namely, the elliptical parameter k. By characterizing experimental results at various wave amplitudes, we confirm that the parameter k increases and approaches a maximum value of unity, as the wave amplitude is increased. Here, the underlying theory that predicts the cnoidal waveform as an exact solution of a Korteweg-de Vries model equation takes account of the streaming ions that are responsible for the spontaneous excitation of the dust acoustic waves.

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Research Organization:: Univ. of Iowa, Iowa City, IA (United States)

Sponsoring Organization:: USDOE

Grant/Contract Number:: SC0014566

OSTI ID:: 1863399

Journal Information:: Physics of Plasmas, Vol. 25, Issue 11; ISSN 1070-664X

Publisher:: American Institute of Physics (AIP)Copyright Statement

Country of Publication:: United States

Language:: English

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