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

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

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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Veröffentlicht in:Russian physics journal 2013-12, Vol.56 (7), p.731-739
Hauptverfasser: Breev, A. I., Goncharovskii, M. M., Shirokov, I. V.
Format: Artikel
Sprache:eng
Schlagworte:
Condensed Matter Physics
Hadrons
Heavy Ions
Lasers
Mathematical and Computational Physics
Nuclear Physics
Optical Devices
Optics
Photonics
Physics
Physics and Astronomy
Theoretical
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Zusammenfassung: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.
ISSN:1064-8887
1573-9228
DOI:10.1007/s11182-013-0092-7