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A model equation for non-resonant interacting ion acoustic plasma waves

Published online by Cambridge University Press:  01 September 1998

ATTILIO MACCARI
Affiliation:
Technical Institute ‘G. Cardano’, Piazza della Resistenza 1, 00015 Monterotondo (Rome), Italy

Abstract

The interaction among non-resonant ion acoustic plasma waves with different group velocities that are not close to each other is studied by an asymptotic perturbation method, based on Fourier expansion and spatio-temporal rescaling. It is shown that the nonlinear Schrödinger equation is not adequate, and instead a model system of nonlinear evolution equations is necessary to describe oscillation amplitudes of Fourier modes. This system is C-integrable, i.e. it can be linearized through an appropriate transformation of the dependent and independent variables. We demonstrate that the subclass of localized solutions gives rise to a solitonic phenomenology. These solutions propagate with the relative group velocity and maintain their shape during a collision, the only change being a phase shift. Numerical calculations confirm the validity of these predictions.

Type
Research Article
Copyright
1998 Cambridge University Press

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