Parallel Propagation of Nonlinear Low-Frequency Waves in High-β Plasma

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Abstract
A pair of coupled, nonlinear, partial differential equations which describe the evolution of low-frequency, large-scale-length perturbations propagating parallel, or nearly parallel, to the equilibrium magnetic field in high-β plasma have been obtained. The equations account for irreversible resonant particle effects. In the regime of small but finite propagation angles, the pair of equations collapses into a single Korteweg-de Vries equation (neglecting irreversible terms) which agrees with known results.