Zobrazeno 1 - 10
of 216
pro vyhledávání: '"Ustinov, N. V."'
Autor:
Ustinov, N. V.
Publikováno v:
Chaos, Solitons & Fractals Volume 179, February 2024, 114467
New type of localized solutions for the two-dimensional multicomponent Yajima-Oikawa system is presented. The dynamics of solutions of this type occurs on the zero background and is similar to that of rogue waves.
Comment: 7 pages, 2 figures, su
Comment: 7 pages, 2 figures, su
Externí odkaz:
http://arxiv.org/abs/2310.17254
Autor:
Ustinov, N. V.
The solutions of the two-dimensional multicomponent Yajima-Oikawa system that have the functional arbitrariness are constructed by using the Darboux transformation technique. For the zero and constant backgrounds, different types of solutions of this
Externí odkaz:
http://arxiv.org/abs/1911.10583
Autor:
Sazonov, S. V.1,2 (AUTHOR) sazonov.sergey@gmail.com, Ustinov, N. V.3 (AUTHOR)
Publikováno v:
JETP Letters. Sep2023, Vol. 118 Issue 6, p408-413. 6p.
Akademický článek
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Autor:
Ustinov, N. V.
Recently, Zabolotskii [Phys. Rev. E 77, 036603 (2008)] presented the Lax pair for a version of the reduced Maxwell--Bloch equations. This version was derived under considering the unidirectional propagation of a two-component electromagnetic pulse th
Externí odkaz:
http://arxiv.org/abs/0808.3963
Autor:
Sazonov, S. V., Ustinov, N. V.
Publikováno v:
J. Phys. A: Math. Theor. 40 (2007) F551-F558
We find that the modified sine-Gordon equation belonging to the class of the soliton equations describes the propagation of extremely short transverse acoustic pulses through the low-temperature crystal containing paramagnetic impurities with effecti
Externí odkaz:
http://arxiv.org/abs/0706.0281
Autor:
Ustinov, N. V.
Publikováno v:
Proceedings of SPIE, 2007, Vol. 6725 "ICONO 2007: Nonlinear Space-Time Dynamics" (edited by Kivshar Yu., Rosanov N.), pp. 67250F-1 - 67250F-5
We find the Lax pair for a system of reduced Maxwell-Bloch equations that describes the propagation of two-component extremely short electromagnetic pulses through the medium containing two-level quantum particles with arbitrary dipole moments.
Externí odkaz:
http://arxiv.org/abs/0705.2833
Autor:
Sazonov, S. V., Ustinov, N. V.
Publikováno v:
Physical Review E, 2006, v.73, No.5, 056614
The propagation of the transverse-longitudinal acoustic pulses through a strained cubic crystal containing the resonant paramagnetic impurities with effective spin S=1 is investigated. It is supposed that the pulses propagate under arbitrary angle wi
Externí odkaz:
http://arxiv.org/abs/nlin/0603040
Autor:
Ustinov, N. V.
Publikováno v:
Eur. Phys. J. B 58, 311-317 (2007)
The hierarchy of the integrable nonlinear equations associated with the quadratic bundle is considered. The expressions for the solution of the linearization of these equations and their conservation law in the terms of the solutions of the correspon
Externí odkaz:
http://arxiv.org/abs/nlin/0603033
Autor:
Bakhar, N. V., Ustinov, N. V.
Publikováno v:
Proceedings of SPIE, 2006, v.6181, VIII International Symposium on Photon Echo and Coherent Spectroscopy (edited by Samartsev V.V.), pp.61810Q-1-61810Q-10
The distinctive features of passing the two-component extremely short pulses through the nonlinear media are discussed. The equations considered describe the propagation in the two-level anisotropic medium of the electromagnetic pulses consisting of
Externí odkaz:
http://arxiv.org/abs/nlin/0512068