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Klein–Gordon equation with a special type of nonlocal nonlinearity in commutative homogeneous spaces with invariant metric

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Russian Physics Journal Aims and scope

A parametric family of particular solutions to the Klein–Gordon equation with nonlocal nonlinearity in commutative homogeneous spaces is constructed with the help of the method of orbits. The nonlinear Klein–Gordon equation in the plane in which the group E(2) acts is considered.

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Authors and Affiliations

  1. National Research Tomsk State University, Tomsk, Russia

    A. I. Breev

  2. National Research Tomsk Polytechnic University, Tomsk, Russia

    A. I. Breev

  3. F. M. Dostoevskii Omsk State University, Omsk, Russia

    M. M. Goncharovskii & I. V. Shirokov

Authors
  1. A. I. Breev
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  2. M. M. Goncharovskii
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  3. I. V. Shirokov
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Corresponding author

Correspondence to A. I. Breev.

Additional information

Translated from Izvestiya Vysshikh Uchebnykh Zavedenii, Fizika, No. 7, pp. 8–14, July, 2013.

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Breev, A.I., Goncharovskii, M.M. & Shirokov, I.V. Klein–Gordon equation with a special type of nonlocal nonlinearity in commutative homogeneous spaces with invariant metric. Russ Phys J 56, 731–739 (2013). https://doi.org/10.1007/s11182-013-0092-7

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  • DOI: https://doi.org/10.1007/s11182-013-0092-7

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