The generalized non-linear Schrödinger model on the interval
From MaRDI portal
Publication:2461153
DOI10.1016/j.nuclphysb.2007.08.007zbMath1151.37051arXiv0706.1515OpenAlexW2091352113MaRDI QIDQ2461153
Anastasia Doikou, Davide Fioravanti, Francesco Ravanini
Publication date: 26 November 2007
Published in: Nuclear Physics. B (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/0706.1515
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) Exactly solvable models; Bethe ansatz (82B23) Groups and algebras in quantum theory and relations with integrable systems (81R12)
Related Items
Discretizations of the generalized AKNS scheme, SELECTED TOPICS IN CLASSICAL INTEGRABILITY, A type I defect and new integrable boundary conditions for the coupled nonlinear Schrödinger equation, Boundary Lax pairs for the \(A_n^{(1)}\) Toda field theories, Time-like boundary conditions in the NLS model, Non-commutative NLS-type hierarchies: dressing \& solutions, Vector nonlinear Schrödinger equation with an integrable defect and new integrable boundary conditions, Nonlinear Schrödinger equation on the half-line without a conserved number of solitons, Systematic classical continuum limits of integrable spin chains and emerging novel dualities, Generalized Landau-Lifshitz models on the interval, Defects in the discrete non-linear Schrödinger model, Solutions of convex Bethe ansatz equations and the zeros of (basic) hypergeometric orthogonal polynomials, Exact methods in the analysis of the non-equilibrium dynamics of integrable models: application to the study of correlation functions for non-equilibrium 1D Bose gas, Integrable boundary conditions and modified Lax equations, Liouville integrable defects: the non-linear Schrödinger paradigm, New integrable boundary conditions for the Ablowitz-Ladik model: from Hamiltonian formalism to nonlinear mirror image method, Classical impurities associated to high rank algebras, Hydrodynamic type integrable equations on a segment and a half-line, An algebraic approach to discrete time integrability
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Gauge theory correlators from non-critical string theory
- Nonlinear Schrödinger equations and simple Lie algebras
- Factorizing particles on a half-line and root systems
- Handbook of algebra. Volume 3
- Duality and quantum-algebra symmetry of the \(A^{(1)}_{\mathcal N-1}\) open spin chain with diagonal boundary fields
- Quantum group symmetry in sine-Gordon and affine Toda field theories on the half-line
- Background field boundary conditions for affine Toda field theories
- CONSTRUCTION OF INTEGRABLE QUANTUM LATTICE MODELS THROUGH SKLYANIN-LIKE ALGEBRAS
- Coupling integrable field theories to mechanical systems at the boundary
- Spontaneous symmetry breaking in thegl(N)-NLS hierarchy on the half line
- On reflection algebras and twisted Yangians
- Boundary K-matrices for the six vertex and the n(2n-1)An-1vertex models
- Analytical Bethe ansatz for a A2n-1(2), Bn(1), Cn(1), Dn(1)quantum-algebra-invariant open spin chains
- A braided Yang–Baxter algebra in a theory of two coupled lattice quantum KdV: algebraic properties and ABA representations
- RationalK-matrices and representations of twisted Yangians
- Quantum Bäcklund transformation for the integrable DST model
- Boundary conditions for integrable quantum systems
- A simple lattice version of the nonlinear Schrodinger equation and its deformation with an exact quantum solution
- Integrable boundary conditions for classical sine-Gordon theory
- The openXXZand associated models atqroot of unity
- The spectral theory of a functional-difference operator in conformal field theory
- ANALYTICAL BETHE ANSATZ FOR OPEN SPIN CHAINS WITH SOLITON NONPRESERVING BOUNDARY CONDITIONS
- Hidden local, quasi-local and non-local symmetries in integrable systems.