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Soliton-soliton and wave-soliton collisions in Skyrme-likeσ-models

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Zeitschrift für Physik C Particles and Fields

Abstract

A skyrme-like version of the (2+1)-dimensional classical σ-model is considered. Some aspects of solitonsoliton collisions are studied using both the numerical and phenomenological approaches. In particular, the problem of 90° scattering of solitons in the head-on collisions is analyzed. Properties of the two-soliton configurations forυ∼υ cr are discussed in terms of a specific solution, which may be called a “disoliton”. This solution corresponds to a saddle point in the space of field configurations and is unstable with respect to the decay into two well separated solitons. Different classes of field configurations, which may be called “one-dimensional” wave packets, are also studied as well as the interaction of these wave packets with a soliton.

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Author notes

  1. A. Kudryavtsev

    Present address: Institute of Theoretical and Experimental Physics, B. Cheremushkinskaya 25, 117259, Moscow, Russia

Authors and Affiliations

  1. Department of Mathematical Sciences, University of Durham, DH1 3LE, Durham, UK

    A. Kudryavtsev, B. Piette & W. J. Zakrzewski

Authors
  1. A. Kudryavtsev
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  2. B. Piette
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  3. W. J. Zakrzewski
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Kudryavtsev, A., Piette, B. & Zakrzewski, W.J. Soliton-soliton and wave-soliton collisions in Skyrme-likeσ-models. Z. Phys. C - Particles and Fields 60, 731–736 (1993). https://doi.org/10.1007/BF01558403

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  • DOI: https://doi.org/10.1007/BF01558403

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