q-deformed solitons and quantum solitons of the Maxwell-Bloch lattice

DOI10.1088/0305-4470/34/1/312zbMath0967.81077arXivnlin/0001006OpenAlexW3100117332WikidataQ109967995 ScholiaQ109967995MaRDI QIDQ2716821

R. K. Bullough, A. V. Rybin, Gennadii Varzugin, Jussi Timonen

Publication date: 16 May 2001

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

Full work available at URL: https://arxiv.org/abs/nlin/0001006

zbMATH Keywords

SITcontinuum limitexact solutionsself-induced transparencynonlinear dielectriccompletely integrable nonlinear lattice systemDarboux-Bäcklund dressing methodLie-Poisson algebra \(\text{su}_q(2)\)

Mathematics Subject Classification ID

Quantum groups and related algebraic methods applied to problems in quantum theory (81R50) Quantum optics (81V80) Groups and algebras in quantum theory and relations with integrable systems (81R12) Dynamical system aspects of infinite-dimensional Hamiltonian and Lagrangian systems (37K99) Lasers, masers, optical bistability, nonlinear optics (78A60) Discrete version of topics in analysis (39A12)

Related Items (3)

Integrable nonlinear Schrödinger system on a lattice with three structural elements in the unit cell ⋮ Semi-discrete integrable nonlinear Schrödinger system with background-controlled inter-site resonant coupling ⋮ Nonlinear integrable model of Frenkel-like excitations on a ribbon of triangular lattice

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