Method for Solving the Sine-Gordon Equation, Physical Review Letters, vol.30, issue.25, p.1262, 1973. ,
DOI : 10.1103/PhysRevLett.30.1262
The Inverse Scattering Transform-Fourier Analysis for Nonlinear Problems, Studies in Applied Mathematics, vol.34, issue.12, pp.249-315, 1974. ,
DOI : 10.1002/sapm1974534249
Surface exponents of the quantum XXZ, Ashkin-Teller and Potts models, Journal of Physics A: Mathematical and General, vol.20, issue.18, p.206397, 1987. ,
DOI : 10.1088/0305-4470/20/18/038
Solution of the Kondo problem, Reviews of Modern Physics, vol.55, issue.2, pp.331-402, 1983. ,
DOI : 10.1103/RevModPhys.55.331
On a theta product formula for the symmetric a-type connection function, Osaka Journal of Mathematics, vol.32, issue.1, pp.35-39, 1995. ,
The q-deformed analogue of the Onsager algebra: Beyond the Bethe ansatz approach, Nuclear Physics B, vol.754, issue.3, pp.309-328, 2006. ,
DOI : 10.1016/j.nuclphysb.2006.08.008
URL : https://hal.archives-ouvertes.fr/hal-00082312
The half-infinite XXZ chain in Onsager??s approach, Nuclear Physics B, vol.873, issue.3, pp.550-584, 2013. ,
DOI : 10.1016/j.nuclphysb.2013.05.003
-Onsager algebra representation theory, Journal of Statistical Mechanics: Theory and Experiment, vol.2007, issue.09, p.9006, 2007. ,
DOI : 10.1088/1742-5468/2007/09/P09006
URL : https://hal.archives-ouvertes.fr/hal-00556920
Exact solution and interfacial tension of the six-vertex model with anti-periodic boundary conditions, Journal of Physics A: Mathematical and General, vol.28, issue.10, p.282759, 1995. ,
DOI : 10.1088/0305-4470/28/10/009
One-dimensional anisotropic Heisenberg chain, Annals of Physics, vol.70, issue.2, pp.323-337, 1972. ,
DOI : 10.1016/0003-4916(72)90270-9
Partition function of the Eight-Vertex lattice model, Annals of Physics, vol.70, issue.1, pp.193-228, 1972. ,
DOI : 10.1016/0003-4916(72)90335-1
Eight-vertex model in lattice statistics and one-dimensional anisotropic heisenberg chain. I. Some fundamental eigenvectors, Annals of Physics, vol.76, issue.1, pp.1-24, 1973. ,
DOI : 10.1016/0003-4916(73)90439-9
Eight-vertex model in lattice statistics and one-dimensional anisotropic heisenberg chain. II. Equivalence to a generalized ice-type lattice model, Annals of Physics, vol.76, issue.1, pp.25-47, 1973. ,
DOI : 10.1016/0003-4916(73)90440-5
Eight-vertex model in lattice statistics and one-dimensional anisotropic heisenberg chain. III. Eigenvectors of the transfer matrix and hamiltonian, Annals of Physics, vol.76, issue.1, pp.48-71, 1973. ,
DOI : 10.1016/0003-4916(73)90441-7
Completeness of the bethe ansatz for the six and eight-vertex models, Journal of Statistical Physics, vol.108, issue.1/2, pp.1-48, 2002. ,
DOI : 10.1023/A:1015437118218
Exactly Solved Models in Statistical Mechanics, 2007. ,
DOI : 10.1142/9789814415255_0002
Modified algebraic bethe ansatz for xxz chain on the segment-i-triangular cases. arXiv preprint, 2014. ,
Heisenberg XXX Model with General Boundaries: Eigenvectors from Algebraic Bethe Ansatz, Symmetry, Integrability and Geometry: Methods and Applications, vol.9, p.72, 2013. ,
DOI : 10.3842/SIGMA.2013.072
URL : https://hal.archives-ouvertes.fr/hal-00908656
Algebraic Bethe Ansatz for Open XXX Model with Triangular Boundary Matrices, Letters in Mathematical Physics, vol.19, issue.5, pp.493-506, 2013. ,
DOI : 10.1007/s11005-012-0601-6
URL : https://hal.archives-ouvertes.fr/hal-00733885
Zur Theorie der Metalle, Zeitschrift f???r Physik, vol.71, issue.3-4, pp.205-226, 1931. ,
DOI : 10.1007/BF01341708
Quantization of models with non-compact quantum group symmetry: modular XXZ magnet and lattice sinh-Gordon model, Journal of Physics A: Mathematical and General, vol.39, issue.41, p.3912927, 2006. ,
DOI : 10.1088/0305-4470/39/41/S11
Exact solution of XXZ spin chain with unparallel boundary fields, Nuclear Physics B, vol.663, issue.3, pp.487-519, 2003. ,
DOI : 10.1016/S0550-3213(03)00372-9
Off-diagonal Bethe ansatz solution of the XXX spin chain with arbitrary boundary conditions, Nuclear Physics B, vol.875, issue.1, pp.152-165, 2013. ,
DOI : 10.1016/j.nuclphysb.2013.06.022
Off-diagonal Bethe ansatz solutions of the anisotropic spin- chains with arbitrary boundary fields, Nuclear Physics B, vol.877, issue.1, pp.152-175, 2013. ,
DOI : 10.1016/j.nuclphysb.2013.10.001
Spin-1/2 xyz model revisit: general solutions via off-diagonal bethe ansatz. arXiv preprint, 2013. ,
Remarks on the notion of quantum integrability, Journal of Statistical Mechanics: Theory and Experiment, vol.2011, issue.02, pp.2011-02023, 2011. ,
DOI : 10.1088/1742-5468/2011/02/P02023
Factorizing particles on a half-line and root systems, Theoretical and Mathematical Physics, vol.5, issue.1, pp.977-983, 1984. ,
DOI : 10.1007/BF01038545
Generalized coordinate Bethe ansatz for non-diagonal boundaries, Nuclear Physics B, vol.858, issue.3, pp.502-512, 2012. ,
DOI : 10.1016/j.nuclphysb.2012.01.020
Eigenvectors of open xxz and asep models for a class of non-diagonal boundary conditions, Journal of Statistical Mechanics: Theory and Experiment, issue.11, pp.2010-11038, 2010. ,
Bethe ansatz solution of the asymmetric exclusion process with open boundaries. Physical review letters, p.95240601, 2005. ,
Exact spectral gaps of the asymmetric exclusion process with open boundaries, Journal of Statistical Mechanics: Theory and Experiment, issue.12, p.12011, 2006. ,
Boundary k-matrices for the six vertex and the n (2n-1) an-1 vertex models, Journal of Physics A: Mathematical and General, vol.26, issue.12, p.519, 1993. ,
Boundary k-matrices for the xyz, xxz and xxx spin chains, Journal of Physics A: Mathematical and General, vol.27, issue.18, p.6129, 1994. ,
An exactly soluble non-equilibrium system: The asymmetric simple exclusion process, Physics Reports, vol.301, issue.1-3, pp.65-83, 1998. ,
DOI : 10.1016/S0370-1573(98)00006-4
Phase transitions and critical phenomena, 2000. ,
Orthogonality and completeness of the Bethe Ansatz eigenstates of the nonlinear Schroedinger model, Communications in Mathematical Physics, vol.10, issue.FS5, pp.347-376, 1993. ,
DOI : 10.1007/BF02097001
Completeness of the SO(4) extended Bethe ansatz for the one-dimensional Hubbard model, Nuclear Physics B, vol.384, issue.3, pp.431-458, 1992. ,
DOI : 10.1016/0550-3213(92)90575-V
How algebraic bethe ansatz works for integrable model. arXiv preprint hep- th, 1996. ,
Quantum inverse scattering method, Sovietic Scientific Reviews of Mathematics, vol.1, p.107, 1981. ,
Quantum inverse problem method i, Theor. Math. Phys, vol.40, pp.688-70686, 1979. ,
The quantum method of the inverse problem and the heisenberg xyz model, Russian Mathematical Surveys, vol.34, issue.5, pp.11-68, 1979. ,
Hamiltonian methods in the theory of solitons, 2007. ,
DOI : 10.1007/978-3-540-69969-9
The complete spectrum and scalar products for the open spin-1/2 XXZ quantum chains with non-diagonal boundary terms, Journal of Statistical Mechanics: Theory and Experiment, vol.2014, issue.1, pp.2014-01011, 2014. ,
DOI : 10.1088/1742-5468/2014/01/P01011
SOV approach for integrable quantum models associated with general representations on spin-1/2 chains of the 8-vertex reflection algebra, Journal of Physics A: Mathematical and Theoretical, vol.47, issue.11, p.47115202, 2014. ,
DOI : 10.1088/1751-8113/47/11/115202
Algebraic Bethe ansatz for the eight-vertex model with general open boundary conditions, Nuclear Physics B, vol.478, issue.3, pp.723-757, 1996. ,
DOI : 10.1016/0550-3213(96)00398-7
Conformal Field Theory and Integrable Systems Associated to Elliptic Curves, Proceedings of the International Congress of Mathematicians, pp.1247-1255, 1995. ,
DOI : 10.1007/978-3-0348-9078-6_55
Elliptic quantum groups, Proceedings of the XIth International Congress of Mathematical Physics, p.211, 1994. ,
Studies of nonlinear problems, 1955. ,
DOI : 10.2172/4376203
Spin chains with non-diagonal boundaries and trigonometric sos model with reflecting end?. Symmetry, Integrability and Geometry: Methods and Applications, pp.12-22, 2011. ,
DOI : 10.3842/sigma.2011.012
URL : http://doi.org/10.3842/sigma.2011.012
chain, Journal of Physics A: Mathematical and Theoretical, vol.44, issue.1, p.15001, 2011. ,
DOI : 10.1088/1751-8113/44/1/015001
URL : https://hal.archives-ouvertes.fr/hal-00165377
Separation of variables in the open XXX chain, Nuclear Physics B, vol.802, issue.3, pp.351-367, 2008. ,
DOI : 10.1016/j.nuclphysb.2008.04.008
Notes on bethe ansatz techniques, 2011. ,
Functional relations from the Yang???Baxter algebra: Eigenvalues of the XXZ model with non-diagonal twisted and open boundary conditions, Nuclear Physics B, vol.790, issue.3, pp.524-542, 2008. ,
DOI : 10.1016/j.nuclphysb.2007.09.011
Method for Solving the Korteweg-deVries Equation, Physical Review Letters, vol.19, issue.19, p.1095, 1967. ,
DOI : 10.1103/PhysRevLett.19.1095
La fonction d'onde de Bethe, 1983. ,
BOUNDARY S MATRIX AND BOUNDARY STATE IN TWO-DIMENSIONAL INTEGRABLE QUANTUM FIELD THEORY, International Journal of Modern Physics A, vol.09, issue.21, pp.3841-3885, 1994. ,
DOI : 10.1142/S0217751X94001552
Table of integrals, series, and products, 1965. ,
On the form factors of local operators in the lattice sine???Gordon model, Journal of Statistical Mechanics: Theory and Experiment, vol.2012, issue.10, pp.2012-10006, 2012. ,
DOI : 10.1088/1742-5468/2012/10/P10006
-model and the chiral Potts model revisited: completeness of Bethe equations from Sklyanin???s SOV method, Journal of Statistical Mechanics: Theory and Experiment, vol.2012, issue.11, pp.2012-11005, 2012. ,
DOI : 10.1088/1742-5468/2012/11/P11005
URL : https://hal.archives-ouvertes.fr/hal-00506393
The quantum mechanical toda lattice, Annals of Physics, vol.124, issue.2, pp.347-381, 1980. ,
DOI : 10.1016/0003-4916(80)90214-6
The quantum mechanical Toda lattice, II, Annals of Physics, vol.133, issue.2, pp.304-331, 1981. ,
DOI : 10.1016/0003-4916(81)90253-0
The ocean is full of nonlinearinear structure. interview: Robert e.stevenson, Executive Intelligence Review, vol.24, issue.38, pp.21-24, 1997. ,
Solution of Reflection Equation, Communications in Theoretical Physics, vol.23, issue.2, p.163, 1995. ,
DOI : 10.1088/0253-6102/23/2/163
Integrable XYZ spin chain with boundaries, Journal of Physics A: Mathematical and General, vol.27, issue.24, p.913, 1994. ,
DOI : 10.1088/0305-4470/27/24/002
A lattice model related to the nonlinear schrödinger equation, Soviet Physics Doklady, p.653, 1981. ,
A solution of the inverse scattering problem for the Kadomtsev-Petviashvili equation by the method of separation of variables, Physics Letters A, vol.66, issue.4, pp.279-281, 1978. ,
DOI : 10.1016/0375-9601(78)90236-0
chain: I, Journal of Statistical Mechanics: Theory and Experiment, vol.2007, issue.10, pp.2007-10009, 2007. ,
DOI : 10.1088/1742-5468/2007/10/P10009
URL : https://hal.archives-ouvertes.fr/ensl-00266468
chain: I, Journal of Statistical Mechanics: Theory and Experiment, vol.2007, issue.10, pp.2008-07010, 2008. ,
DOI : 10.1088/1742-5468/2007/10/P10009
URL : https://hal.archives-ouvertes.fr/ensl-00266468
Form factors of the XXZ Heisenberg finite chain, Nuclear Physics B, vol.554, issue.3, pp.647-678, 1999. ,
DOI : 10.1016/S0550-3213(99)00295-3
Correlation functions of the XXZ Heisenberg spin- chain in a magnetic field, Nuclear Physics B, vol.567, issue.3, pp.554-582, 2000. ,
DOI : 10.1016/S0550-3213(99)00619-7
Open spin chains with generic integrable boundaries: Baxter equation and bethe ansatz completeness from sov. arXiv preprint, 2014. ,
Goryachev-Chaplygin top in quantum mechanics, Theoretical and Mathematical Physics, pp.265-270, 1982. ,
DOI : 10.1007/BF01016456
Quantum-mechanical Goryachev-Chaplygin top in a strong field, Theoretical and Mathematical Physics, vol.19, issue.2, pp.1136-1141, 1982. ,
DOI : 10.1007/BF01016684
Quantum inverse scattering method and correlation functions, 1993. ,
Yang-baxter equation and representation theory: I. Letters in Mathematical Physics, pp.393-403, 1981. ,
Quantum inverse scattering method and the Heisenberg ferromagnet, Physics Letters A, vol.70, issue.5-6, pp.461-463, 1979. ,
DOI : 10.1016/0375-9601(79)90365-7
Quantum spectral transform method recent developments, Integrable quantum field theories, pp.61-119, 1982. ,
DOI : 10.1007/3-540-11190-5_8
Algebra, volume 211 of graduate texts in mathematics, 2002. ,
Integrals of nonlinear equations of evolution and solitary waves, Communications on pure and applied mathematics, pp.467-490, 1968. ,
DOI : 10.1002/cpa.3160210503
Exact Solution of the Two-Dimensional Slater KDP Model of a Ferroelectric, Physical Review Letters, vol.19, issue.3, pp.108-110, 1967. ,
DOI : 10.1103/PhysRevLett.19.108
Exact Solution of the Problem of the Entropy of Two-Dimensional Ice, Physical Review Letters, vol.18, issue.17, p.692, 1967. ,
DOI : 10.1103/PhysRevLett.18.692
Residual Entropy of Square Ice, Physical Review, vol.162, issue.1, p.162, 1967. ,
DOI : 10.1103/PhysRev.162.162
Exact Analysis of an Interacting Bose Gas. II. The Excitation Spectrum, Physical Review, vol.130, issue.4, pp.1616-1624, 1963. ,
DOI : 10.1103/PhysRev.130.1616
Exact Analysis of an Interacting Bose Gas. I. The General Solution and the Ground State, Physical Review, vol.130, issue.4, p.1605, 1963. ,
DOI : 10.1103/PhysRev.130.1605
Absence of Mott Transition in an Exact Solution of the Short-Range, One-Band Model in One Dimension, Physical Review Letters, vol.20, issue.25, p.1445, 1968. ,
DOI : 10.1103/PhysRevLett.20.1445
Particle systems, 1985. ,
Symmetric functions and Hall polynomials, 1995. ,
On the quantum inverse scattering problem, Nuclear Physics B, vol.575, issue.3, pp.627-644, 2000. ,
DOI : 10.1016/S0550-3213(00)00097-3
The physical geography of the sea, and its meteorology, volume 10th ed. rev, p.1861 ,
Exact solution of the open XXZ chain with general integrable boundary terms at roots of unity, Journal of Statistical Mechanics: Theory and Experiment, vol.2006, issue.08, pp.2006-08006, 2006. ,
DOI : 10.1088/1742-5468/2006/08/P08006
Completeness of the Bethe Ansatz solution of the open XXZ chain with nondiagonal boundary terms, Journal of Physics A: Mathematical and General, vol.36, issue.45, p.11391, 2003. ,
DOI : 10.1088/0305-4470/36/45/003
Solving the open XXZ spin chain with nondiagonal boundary terms at roots of unity, Nuclear Physics B, vol.622, issue.3, pp.615-632, 2002. ,
DOI : 10.1016/S0550-3213(01)00585-5
Bethe ansatz solution of the open XXZ chain with nondiagonal boundary terms, Journal of Physics A: Mathematical and General, vol.37, issue.2, p.433, 2004. ,
DOI : 10.1088/0305-4470/37/2/012
Completeness of the Bethe Ansatz solution of the open XXZ chain with nondiagonal boundary terms, Journal of Physics A: Mathematical and General, vol.36, issue.45, p.11391, 2003. ,
DOI : 10.1088/0305-4470/36/45/003
Reconstruction of Baxter -operator from Sklyanin SOV for cyclic representations of integrable quantum models, Nuclear Physics B, vol.835, issue.3, pp.263-283, 2010. ,
DOI : 10.1016/j.nuclphysb.2010.03.009
quantum chains by separation of variables: complete spectrum and matrix elements of some quasi-local operators, Journal of Statistical Mechanics: Theory and Experiment, vol.2012, issue.10, p.10025, 2012. ,
DOI : 10.1088/1742-5468/2012/10/P10025
Antiperiodic spin-1/2 XXZ quantum chains by separation of variables: Complete spectrum and form factors, Nuclear Physics B, vol.870, issue.2, pp.397-420, 2013. ,
DOI : 10.1016/j.nuclphysb.2013.01.017
Form factors and complete spectrum of XXX antiperiodic higher spin chains by quantum separation of variables, Journal of Mathematical Physics, vol.54, issue.5, p.53516, 2013. ,
DOI : 10.1063/1.4807078
The sine???Gordon model revisited: I, Journal of Statistical Mechanics: Theory and Experiment, vol.2010, issue.09, pp.2010-09014, 2010. ,
DOI : 10.1088/1742-5468/2010/09/P09014
Linear Antiferromagnetic Chain with Anisotropic Coupling, Physical Review, vol.112, issue.2, p.309, 1958. ,
DOI : 10.1103/PhysRev.112.309
Internal Solitons in the Andaman Sea, Science, vol.208, issue.4443, pp.451-460, 1980. ,
DOI : 10.1126/science.208.4443.451
Large-amplitude internal waves observed off the northwest coast of Sumatra, Journal of Geophysical Research, vol.9, issue.6, pp.2319-2324, 1965. ,
DOI : 10.1029/JZ070i010p02319
An introduction to the algebraic bethe ansatz, 2009. ,
Open x x z spin chain: Nonequilibrium steady state and a strict bound on ballistic transport. Physical review letters, p.217206, 2011. ,
Rigorous theory of cooperative spontaneous emission of radiation from a lumped system of two-level atoms: Bethe ansatz method, Zh Èksp Teor Fiz, vol.87, pp.1617-1630, 1984. ,
Report on waves In 14th meeting of the British Association for the Advancement of Science, p.390, 1844. ,
Exact theory of two-dimensional self-focusing and one-dimensional self-modulation of waves in nonlinear media, Soviet Physics JETP, vol.34, pp.62-69, 1972. ,
Diffusion and Ballistic Transport in One-Dimensional Quantum Systems, Physical Review Letters, vol.103, issue.21, p.216602, 2009. ,
DOI : 10.1103/PhysRevLett.103.216602
Goryachev-Chaplygin top and the inverse scattering method, Journal of Soviet Mathematics, vol.72, issue.No. 8, pp.313417-3431, 1985. ,
DOI : 10.1007/BF02107243
The quantum toda chain In Non-linear equations in classical and quantum field theory, pp.196-233, 1985. ,
Boundary conditions for integrable quantum systems, Journal of Physics A: Mathematical and General, vol.21, issue.10, p.2375, 1988. ,
DOI : 10.1088/0305-4470/21/10/015
Quantum inverse scattering method. selected topics, Quantum groups and quantum integrable systems (Nankai lectures in mathematical physics), pp.63-97 ,
Separation of variables in the classical integrableSL(3) magnetic chain, Communications in Mathematical Physics, vol.122, issue.2, pp.181-191, 1992. ,
DOI : 10.1007/BF02096572
Quantum-mechanical approach to completely integrable field theory models, Sov. Phys. Dokl, p.978, 1978. ,
DOI : 10.1142/9789814340960_0025
Quantum version of the method of inverse scattering problem, Zapiski Nauchnykh Seminarov POMI, vol.95, pp.55-128, 1980. ,
Separation of variables new trends. Progress of Theoretical Physics Supplement, pp.35-60, 1995. ,
Separation of variables in the quantum integrable models related to the Yangiany[sl(3)], Journal of Mathematical Sciences, vol.36, issue.3, pp.1861-1871, 1996. ,
DOI : 10.1007/BF02362784
Structure of matrix elements in the quantum Toda chain, Journal of Physics A: Mathematical and General, vol.31, issue.44, p.318953, 1998. ,
DOI : 10.1088/0305-4470/31/44/019
Interaction of Markov processes, Advances in Mathematics, vol.5, issue.2, p.246, 1970. ,
DOI : 10.1016/0001-8708(70)90034-4
Enumerative combinatorics, of cambridge studies in advanced mathematics, 1999. ,
A view from space: The discovery of nonlinear waves in the ocean's near-surface layer. 21st Century Science and Technology, pp.34-47, 1999. ,
Exact Solution of a Two-Dimensional Model for Hydrogen-Bonded Crystals, Physical Review Letters, vol.19, issue.3, pp.103-104, 1967. ,
DOI : 10.1103/PhysRevLett.19.103
Quantum inverse scattering method and algebraized matrix Bethe-Ansatz, Journal of Soviet Mathematics, vol.87, issue.Nos. 1?2, p.2470, 1983. ,
DOI : 10.1007/BF01084176
Completeness of bethe vectors and difference equations with regular singular points, International Mathematics Research Notices, issue.13, pp.637-669, 1995. ,
Exact results in the theory of magnetic alloys Advances in Physics, pp.453-713, 1983. ,
The Exact Solution of the Modified Korteweg-de Vries Equation, Journal of the Physical Society of Japan, vol.32, issue.6, pp.1681-1681, 1972. ,
DOI : 10.1143/JPSJ.32.1681
The problem of quantum integrability, Physica D: Nonlinear Phenomena, vol.56, issue.1, pp.107-119, 1992. ,
DOI : 10.1016/0167-2789(92)90053-P
Selected Papers, with Commentary, 1945. ,
URL : https://hal.archives-ouvertes.fr/hal-00912908
On the second reference state and complete eigenstates of the open XXZ chain, Journal of High Energy Physics, vol.28, issue.04, p.44, 2007. ,
DOI : 10.1016/0375-9601(96)00448-3
Exact solution for the spin-s XXZ quantum chain with non-diagonal twists, Nuclear Physics B, vol.446, issue.3, pp.461-484, 1995. ,
DOI : 10.1016/0550-3213(95)00168-R
Interaction of "Solitons" in a Collisionless Plasma and the Recurrence of Initial States, Physical Review Letters, vol.15, issue.6, pp.240-243, 1965. ,
DOI : 10.1103/PhysRevLett.15.240
Korteweg-de vries equation: A completely integrable hamiltonian system. Functional analysis and its applications, pp.280-287, 1971. ,
Factorized S-matrices in two dimensions as the exact solutions of certain relativistic quantum field theory models, Annals of Physics, vol.120, issue.2, pp.253-291, 1979. ,
DOI : 10.1016/0003-4916(79)90391-9
Trigonometric series:[Vol. I and II combined, 1968. ,