Solitons ofq-deformed quantum lattices and the quantum soliton

DOI10.1088/0305-4470/34/48/311zbMath0995.81162OpenAlexW2045116114MaRDI QIDQ2773076

R. K. Bullough, A. V. Rybin, G. G. Varzugin, N. M. Bogolyubov, Jussi Timonen

Publication date: 20 October 2002

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

Full work available at URL: https://doi.org/10.1088/0305-4470/34/48/311

zbMATH Keywords

\(N\)-soliton solutionDarboux-Bäcklund transformationquantum soliton\(N\)-string bound state solutions\(q\)-deformed quantum latticelattice Maxwell-Bloch (LMB) equationsstrict Bethe ansatz

Mathematics Subject Classification ID

Quantum groups and related algebraic methods applied to problems in quantum theory (81R50) Statistical mechanics of crystals (82D25) Quantum field theory on lattices (81T25) String and superstring theories; other extended objects (e.g., branes) in quantum field theory (81T30) Soliton equations (35Q51) Many-body theory; quantum Hall effect (81V70) Lie-Bäcklund and other transformations for infinite-dimensional Hamiltonian and Lagrangian systems (37K35) Bethe-Salpeter and other integral equations arising in quantum theory (81Q40)

Related Items (4)

Integrable nonlinear Schrödinger system on a lattice with three structural elements in the unit cell ⋮ EXACT SOLVING q DEFORMED BOSON MODEL UNDER OPEN BOUNDARY CONDITION ⋮ 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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