Nonlinear Alfven waves with k near k0 in highly magnetized pair plasmas experience strong modulational instability that drives density fluctuations and generates high-frequency modes.
Lyutikov, Astrophys
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Nonlinear relativistic EM waves in magnetized plasmas show modified dispersion relations where subluminal modes terminate at finite frequency when wave electric field exceeds guide field B0, preventing further propagation.
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Powerful parametric instability of Alfven waves in astrophysical pair plasma
Nonlinear Alfven waves with k near k0 in highly magnetized pair plasmas experience strong modulational instability that drives density fluctuations and generates high-frequency modes.
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Relativistically-strong electromagnetic waves in magnetized plasmas
Nonlinear relativistic EM waves in magnetized plasmas show modified dispersion relations where subluminal modes terminate at finite frequency when wave electric field exceeds guide field B0, preventing further propagation.