Six-vertex model and non-linear differential equations. I: Spectral problem
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Publication:1989918
DOI10.1007/s00220-018-3232-7zbMath1407.37104arXiv1705.03408OpenAlexW2614010567MaRDI QIDQ1989918
Publication date: 29 October 2018
Published in: Communications in Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1705.03408
General topics in linear spectral theory for PDEs (35P05) Inverse problems for PDEs (35R30) Exactly solvable models; Bethe ansatz (82B23) Relations of infinite-dimensional Hamiltonian and Lagrangian dynamical systems with infinite-dimensional Lie algebras and other algebraic structures (37K30) Inverse spectral and scattering methods for infinite-dimensional Hamiltonian and Lagrangian systems (37K15) Yang-Baxter equations (16T25)
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Cites Work
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- Integral formula for elliptic SOS models with domain walls and a reflecting end
- Multiple integral representation for the trigonometric SOS model with domain wall boundaries
- Calculation of norms of Bethe wave functions
- New \(R\)-matrices from representations of braid-monoid algebras based on superalgebras
- Reflection algebra and functional equations
- Quantum inverse problem method. I
- Quantum R matrix for the generalized Toda system
- The spectrum of the transfer matrices connected with Kac-Moody algebras
- Trigonometric solutions of triangle equations. Simple Lie superalgebras
- Yang-Baxter equation and representation theory. I
- Integrable structure of conformal field theory. II: \(Q\)-operator and DDV equation
- Refined functional relations for the elliptic SOS model
- Scalar product of Bethe vectors from functional equations
- Functional relations from the Yang-Baxter algebra: Eigenvalues of the \(XXZ\) model with non-diagonal twisted and open boundary conditions
- A new representation for the partition function of the six-vertex model with domain wall boundaries
- Twisted Heisenberg chain and the six-vertex model with DWBC
- New differential equations in the six-vertex model
- The eight-vertex model and Painlevé VI
- EXPLICIT TRIGONOMETRIC YANG-BAXTERIZATION
- Method for Solving the Korteweg-deVries Equation
- Eight-vertex model and non-stationary Lamé equation
- Partial differential equations from integrable vertex models
- The eight-vertex model and Painlevé VI equation II: eigenvector results
- Continuous representations of scalar products of Bethe vectors
- Integrals of nonlinear equations of evolution and solitary waves
- The ODE/IM correspondence
- Statistics of the Two-Dimensional Ferromagnet. Part I
- Statistics of the Two-Dimensional Ferromagnet. Part II