Dynamics of four coupled plasma waves to second order

Author:

Walters Dolores,Lewak George J.

Abstract

General equations are derived for the interaction of four waves to second order (i.e. two triplets with two waves common to both). The solutions are analysed under various initial conditions and it is shown that the weaker triplet (as measured by the coupling constraints) is stabilized by the stronger one against explosive instabilities, whereas the converse does not happen. It is further found that under certain circumstances one of the common waves may act as a ‘catalyst’, remaining fixed in amplitude, while the other waves oscillate or even grow exponentially. This work extends the treatment of Karplyuk, Oraevskii & Pavlenko to include the possibility of negative energy waves.

Publisher

Cambridge University Press (CUP)

Subject

Condensed Matter Physics

Cited by 18 articles. 订阅此论文施引文献 订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献

1. Dynamical Effects in Confined Plasma Turbulence;Brazilian Journal of Physics;2014-09-05

2. Low-dimensional chaos and wave turbulence in plasmas;Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences;2007-08-13

3. The presence of an invariant manifold in the dissipative nonlinear four-wave coupling;Physica A: Statistical Mechanics and its Applications;2004-11

4. Study of two coupled three-wave interactions with a quadratic non-linearly in the presence of dissipation and frequency mismatch;J PLASMA PHYS;2003

5. Nonintegrable dynamics of the triplet-triplet spatiotemporal interaction;Physical Review E;1999-11-01

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