The generalization of strong anisotropic XXZ model and UC hierarchy

Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) KdV equations (Korteweg-de Vries equations) (35Q53) Lattice systems (Ising, dimer, Potts, etc.) and systems on graphs arising in equilibrium statistical mechanics (82B20) Applications of Lie algebras and superalgebras to integrable systems (17B80) Inverse spectral and scattering methods for infinite-dimensional Hamiltonian and Lagrangian systems (37K15) Fermionic systems in quantum theory (81V74) Bosonic systems in quantum theory (81V73)

Cites Work

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Solitons and infinite dimensional Lie algebras
Calculation of norms of Bethe wave functions
Solutions of the Yang-Baxter equation
Quantum inverse scattering method for the $q$-boson model and symmetric functions
Quantum inverse problem method. I
Universal characters and an extension of the KP hierarchy
Transformation groups of soliton equations. IV: A new hierarchy of soliton equations of KP-type
Transformation groups for soliton equations. Euclidean Lie algebras and reduction of the KP hierarchy
A q-difference analogue of $U({\mathfrak g})$ and the Yang-Baxter equation
Two constructions of affine Lie algebra representations and boson-fermion correspondence in quantum field theory
Temperature correlation function in the absolutely anisotropic $XXZ$ Heisenberg magnet
Young diagrams in an $N \times M$ box and the KP hierarchy
On the decomposition of tensor products of the representations of the classical groups: By means of the universal characters
XXZ scalar products and KP
The quantum inverse scattering method approach to correlation functions.
Inverse scattering transform and soliton solutions of an integrable nonlocal Hirota equation
Polynomial tau-functions for the multicomponent KP hierarchy
Partition function of the eight-vertex lattice model
The correlation functions of the $XXZ$ Heisenberg chain in the case of zero or infinite anisotropy, and random walks of vicious walkers
Domain wall partition functions and KP
KP Hierarchies of Orthogonal and Symplectic Type–Transformation Groups for Soliton Equations VI–
Introduction to Classical Integrable Systems
Boundary correlation functions of the six-vertex model
Thermodynamic limit of the six-vertex model with domain wall boundary conditions
Some Exact Results for the Many-Body Problem in one Dimension with Repulsive Delta-Function Interaction
Indecomposable solutions of the Yang-Baxter equation of square-free cardinality