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On the stability of solitary-wave solutions of Yukawa-coupled Klein-Gordon-Schrödinger equations

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Lettere al Nuovo Cimento (1971-1985)

Summary

The response to small time-dependent perturbations on solitary-wave-type solutions of Yukawa-coupled Klein-Gordon-Schrödinger equations is investigated. In one spatial dimension these equations are solvable. We find a stable solitary-wave solution whereby imaginary oscillations which would cause instability are excluded from the spectrum of the perturbed system. This stability result also holds in higher dimensions.

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Authors and Affiliations

  1. Department of Mathematics, University of Salzburg, Salzburg, Austria

    H. J. Efinger

  2. Center for Applied Mathematics, University of Georgia, Athens, Georgia, USA

    H. J. Efinger

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  1. H. J. Efinger
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Efinger, H.J. On the stability of solitary-wave solutions of Yukawa-coupled Klein-Gordon-Schrödinger equations. Lett. Nuovo Cimento 35, 186–188 (1982). https://doi.org/10.1007/BF02755028

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  • DOI: https://doi.org/10.1007/BF02755028

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