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- Title
Integrable models of the dynamics of longitudinal-transverse acoustic pulses in a paramagnetic crystal.
- Authors
Sazonov, S. V.; Ustinov, N. V.
- Abstract
We study the interaction between longitudinal-transverse acoustic pulses and a system of paramagnetic impurities with the effective spin S = 1 in a statically deformed crystal. We show that the dynamics of a pulse propagating at an arbitrary angle to the static-deformation direction and of the effective spins satisfy the modified reduced Maxwell-Bloch equations and, if the spectrum of the acoustic pulse overlaps the quantum transitions between spin sublevels, the modified sine-Gordon equation. These equations generalize the well-known models in the theory of the inverse scattering method and in the theory of self-induced transparency and also belong to the class of integrable equations. Analyzing soliton solutions shows that the pulse-medium interaction reveals some qualitatively new features in these models compared with the cases of purely transverse or purely longitudinal acoustic fields.
- Subjects
SOLITONS; ACOUSTIC paramagnetic resonance; CRYSTALS; NONLINEAR acoustics; NONLINEAR optics; MATHEMATICAL physics; INVERSE scattering transform; LIGHT transmission
- Publication
Theoretical & Mathematical Physics, 2007, Vol 151, Issue 2, p632
- ISSN
0040-5779
- Publication type
Article
- DOI
10.1007/s11232-007-0050-z