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Modulation of the velocity of soliton-like perturbations for the sine–Gordon equation with external force and dissipation

  • Elementary Particle Physics and Field Theory
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Russian Physics Journal Aims and scope

An analytical expression of the function modulating the amplitude of soliton velocity perturbations for the sine-Gordon equation with a uniform external harmonic force and dissipation is derived. The evolution of the soliton velocity for the external force in the form of a step function of time is examined. An analytical expression for the time-averaged soliton velocity is obtained.

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Author information

Authors and Affiliations

  1. Tomsk State University, Tomsk, Russia

    A. V. Shapovalov

  2. Siberian State Medical University, Tomsk, Russia

    L. A. Krasnobaeva

Authors
  1. L. A. Krasnobaeva
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  2. A. V. Shapovalov
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Corresponding author

Correspondence to L. A. Krasnobaeva.

Additional information

Translated from Izvestiya Vysshikh Uchebnykh Zavedenii, Fizika, No. 12, pp. 75–81, December, 2009.

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Krasnobaeva, L.A., Shapovalov, A.V. Modulation of the velocity of soliton-like perturbations for the sine–Gordon equation with external force and dissipation. Russ Phys J 52, 1331–1338 (2009). https://doi.org/10.1007/s11182-010-9374-5

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  • DOI: https://doi.org/10.1007/s11182-010-9374-5

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