Abstract
The stability of the three-dimensional multiple-charged soliton solutions to the nonlinear field equations is studied by Lyapunov's method. It is proved that an absolutely stable soliton solution can not exist in any field model. By imposing the subsidiary conditionΩ pδQi=0 (fixation of charges) we find a sufficient condition for stability of the stationary soliton which includes the inequalityΩ k Ω i(∂Q i/∂Ω k<0. An illustrative example is considered.
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Rybakov, Y.P., Chakrabarti, S. Conditional stability of multiple-charged solitons. Int J Theor Phys 23, 325–333 (1984). https://doi.org/10.1007/BF02114512
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DOI: https://doi.org/10.1007/BF02114512