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Teoreticheskaya i Matematicheskaya Fizika, 2010, Volume 164, Number 2, Pages 222–242
DOI: https://doi.org/10.4213/tmf6536 (Mi tmf6536) 		 
This article is cited in 7 scientific papers (total in 7 papers)

Nonlinear transparency regimes for three-component acoustic pulses in a system of electron and nuclear spins

S. V. Sazonovab, N. V. Ustinovc

a Russian Research Centre "Kurchatov Institute", Moscow, Russia
b Moscow Aviation Institute (Technical University), Moscow, Russia
c Moscow State University of Railway Engineering, Kaliningrad Branch, Kaliningrad, Russia
Full-text PDF (592 kB) Citations (7)
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DOI: https://doi.org/10.4213/tmf6536
Abstract: We study acoustic solitons consisting of one longitudinal and two transverse components and propagating in the direction perpendicular to an external magnetic field in a crystal containing paramagnetic impurities of electron and nuclear spins. The coupling of the electron spin subsystem to the longitudinal sound allows making the velocity of the latter close to that of the transverse acoustic waves, which provides an effective interaction between all components of the elastic field by means of the nuclear spin subsystem. We derive a three-component system of material and reduced wave equations describing this process and construct its soliton solutions in the form of stationary and breather pulses. Based on them, we study the peculiarities of the dynamics of the elastic field components and reveal the differences from the two-component model. The existence of two families of breathers is an important distinctive feature of the considered case.
Keywords: soliton, nonlinear integrable equation, self-induced transparency.
Received: 13.10.2009
English version:
Theoretical and Mathematical Physics, 2010, Volume 164, Issue 2, Pages 1016–1034
DOI: https://doi.org/10.1007/s11232-010-0082-7
Bibliographic databases:
Document Type: Article
Language: Russian
Citation: S. V. Sazonov, N. V. Ustinov, “Nonlinear transparency regimes for three-component acoustic pulses in a system of electron and nuclear spins”, TMF, 164:2 (2010), 222–242; Theoret. and Math. Phys., 164:2 (2010), 1016–1034
Citation in format AMSBIB
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  • https://www.mathnet.ru/eng/tmf6536
  • https://doi.org/10.4213/tmf6536
  • https://www.mathnet.ru/eng/tmf/v164/i2/p222
    • This publication is cited in the following 7 articles:
    1. Ustinov N.V., “Integrable Generalizations of the Sine-Gordon, Short Pulse, and Reduced Maxwell-Bloch Equations”, J. Math. Phys., 60:1 (2019), 013503  crossref  mathscinet  zmath  isi  scopus
    2. Zabolotskii A.A., “Envelope-Free Solitons in a Two-Level Medium Implanted Into An Anisotropic Matrix”, J. Exp. Theor. Phys., 129:5 (2019), 825–830  crossref  isi
    3. Sazonov S.V. Ustinov N.V., “New Integrable Model of Propagation of the Few-Cycle Pulses in An Anisotropic Microdispersed Medium”, Physica D, 366 (2018), 1–9  crossref  mathscinet  zmath  isi  scopus
    4. S. V. Sazonov, N. V. Ustinov, “Vector acoustic solitons from the coupling of long and short waves in a paramagnetic crystal”, Theoret. and Math. Phys., 178:2 (2014), 202–222  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi  elib  elib
    5. Sazonov S.V., “On the Propagation of Hypersonic Solitons in a Strained Paramagnetic Crystal”, J. Exp. Theor. Phys., 117:5 (2013), 885–902  crossref  adsnasa  isi  scopus
    6. S. V. Sazonov, “Optical methods for the generation of terahertz radiation and subterahertz acoustics of solids”, JETP Letters, 96:4 (2012), 263–274  mathnet  crossref  isi  elib  elib
    7. Sazonov S.V., Ustinov N.V., “Self-induced acoustic transparency of three-component longitudinal-transverse pulses”, J. Exp. Theor. Phys., 114:4 (2012), 645–653  crossref  mathscinet  adsnasa  isi  elib  elib  scopus
    Citing articles in Google Scholar: Russian citations, English citations
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    		Теоретическая и математическая физика Theoretical and Mathematical Physics
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