Integrable models of transverse and longitudinal acoustic pulses evolution in a paramagnetic crystal with spin \(S=\frac12\) impurities

DOI10.1016/S0167-2789(03)00208-2zbMath1069.74029OpenAlexW1967006959MaRDI QIDQ1409051

Alexander A. Zabolotskii

Publication date: 28 September 2003

Published in: Physica D (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0167-2789(03)00208-2

zbMATH Keywords

inverse scattering transformcoherent dynamicscoupled soliton-antisoliton pairs

Mathematics Subject Classification ID

Bulk waves in solid mechanics (74J10) Crystalline structure (74E15) Wave scattering in solid mechanics (74J20)

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New integrable model of propagation of the few-cycle pulses in an anisotropic microdispersed medium ⋮ Integrable generalizations of the sine-Gordon, short pulse, and reduced Maxwell–Bloch equations

Cites Work

• The quasiself-similar asymptotic of four-wave nondispersive interaction
• Complete integrability of the reduced Maxwell-Bloch equations with permanent dipole
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