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A forced Korteweg–de Vries model for nonlinear mixing of oscillations in a dusty plasma
Journal article   Open access   Peer reviewed

A forced Korteweg–de Vries model for nonlinear mixing of oscillations in a dusty plasma

Ajaz A. Mir, Sanat K. Tiwari, John Goree, Abhijit Sen, Chris Crabtree and Gurudas Ganguli
Physics of plasmas, Vol.27(11), p.113701
11/2020
DOI: 10.1063/5.0022482
url
https://doi.org/10.1063/5.0022482View
Published (Version of record) Open Access

Abstract

Nonlinear mixing of oscillations in a dusty plasma due to the harmonic time varying modulation of a nonlinear compressional oscillation is analyzed using a simple mathematical model consisting of a forced Korteweg-de Vries equation. An exact analytical solution of this equation is found to exhibit nonlinear mixing in the system. The model solution can be usefully employed to predict the existence of nonlinear mixing of oscillations in a two-dimensional dusty plasma system of a particular experimental configuration.

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