Abstract
The stability of charged solitons described by the relativistic complex scalar field is investigated by the direct Lyapunov method. It is shown that the stability of pulson-type solitons can only be conditional. Some necessary and sufficient conditions for the stability of stationary solitons with fixed charge are established. Several examples are considered.
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Kumar, A., Nisichenko, V.P. & Rybakov, Y.P. Stability of charged solitons. Int J Theor Phys 18, 425–432 (1979). https://doi.org/10.1007/BF00670060
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DOI: https://doi.org/10.1007/BF00670060