Radiophysical properties of solitons with phase distortions on t he initial front

The problem of the nonlinear beam propagation is considered. The wave beam is the concentrated solution of the nonlinear wave equation (soliton) which has the essential variation of the phase into the initial data. The nonlinearity is rather small so the approximation of the diffraction theory parabolic equation is valid. In the framework of this approximation, the problem is solved by computer simulation. In result, we can see that after some distance along the initial direction of the wave propagation the wave beam becomes the soliton moving at the some angle to the initial direction. This angle is determined by the across derivative of phase on the initial wave front. The wave beam maximum trajectory has the additional oscillation if the initial phase has the sharp variation up to phase jump. © 2019 IEEE.

Authors
Cherkashin Y.1 , Eremenko V. 1, 2 , Chumakov S.1
Publisher
Institute of Electrical and Electronics Engineers Inc.
Language
English
Pages
531-534
Status
Published
Number
8810186
Year
2019
Organizations
  • 1 Pushkov Institute of Terrestrial Magnetism, Ionosphere and Radio Wave Propagation (IZMIRAN), Moscow, Russian Federation
  • 2 Peoples' Friendship University of Russia (RUDN), Moscow, Russian Federation
Keywords
Nonlinear and smoothly inhomogeneous medium; Parabolic equation of diffraction theory; Solitons
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Vorobev A.Y., Metaxa G.P., Bolenov Y.M., Metaxa A.S., Alisheva Z.N., ORCID 0000-0001-5271-429X
News of the National Academy of Sciences of the Republic of Kazakhstan, Series of Geology and Technical Sciences. National Academy of Sciences of the Republic of Kazakhstan. Vol. 4. 2019. P. 121-127