Similarity solutions of the deformed Maxwell-Bloch system

DOI10.1088/0305-4470/26/14/022zbMath0795.35114OpenAlexW1971870778MaRDI QIDQ4290761

A. V. Rybin, Alexander V. Kitaev, Jussi Timonen

Publication date: 5 May 1994

Published in: Journal of Physics A: Mathematical and General (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1088/0305-4470/26/14/022

zbMATH Keywords

similarity reductionsPainlevé equationstwo-level atomic systems

Mathematics Subject Classification ID

Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) NLS equations (nonlinear Schrödinger equations) (35Q55) Completely integrable finite-dimensional Hamiltonian systems, integration methods, integrability tests (37J35) Atomic physics (81V45)

Related Items (2)

Generalized Knizhnik–Zamolodchikov equations and isomonodromy quantization of the equations integrable via the Inverse Scattering Transform: Maxwell–Bloch system with pumping ⋮ Towards second order Lax pairs to discrete Painlevé equations of first degree

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