Abstract
We derive model equations of the interaction between circular polarized helicon wavetrains in a two-dimensional plasma. For such quasi-one-dimensional waves a nonlinear resonance results in N-wave interactions. The corresponding system of equations is known to be integrable. A novel feature of the study, in the context of soliton theory, is the account of the wave asynchronism that seems to be essential for wavetrains with wavefronts of large steepness, observed in experiments for dense helicon plasma. To generate solutions we use recent results of the binary Darboux transformation technique, applying it to three-wave interactions. The solutions have been analysed numerically and plotted.
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