Abstract
The effect of resonant particles on an Alfvén soliton is studied. Soliton perturbation theory based on the inverse scattering data formalism is applied to an extended DNLS equation, including a term which represents resonant particles. The results are compared with a numerical solution of the same equation. The numerical results show that when the initial soliton state is in the normal regime, the perturbation method gives an adequate description of the evolution, while the discrepancy between numerical and perturbation results increases as the initial soliton state is moved into the anomalous regime. Both approaches indicate that the solitons generally develop into the normal regime, and that the effective damping takes place around the transition from the anomalous to the normal regime.
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