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

Mir, Ajaz A.; Tiwari, Sanat K.; Goree, John; Sen, Abhijit; Crabtree, Chris; Ganguli, Gurudas

doi:10.1063/5.0022482

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

Journal Article · Mon Nov 02 00:00:00 EST 2020 · Physics of Plasmas

DOI:https://doi.org/10.1063/5.0022482· OSTI ID:1863408

^[1];

^[2]; Sen, Abhijit ^[3];

^[4]; Ganguli, Gurudas ^[4]

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

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

Sponsoring Organization:: USDOE

Grant/Contract Number:: SC0014566

OSTI ID:: 1863408

Alternate ID(s):: OSTI ID: 1698048

Journal Information:: Physics of Plasmas, Vol. 27, Issue 11; ISSN 1070-664X

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

Country of Publication:: United States

Language:: English

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