zbMath0571.35098MaRDI QIDQ3688825
Etsuro Date, Michio Jimbo, Masaki Kashiwara, Tetsuji Miwa
Publication date: 1983
Title: zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Multivariate orthogonal Laurent polynomials and integrable systems,
Constrained Toda hierarchy and turning points of the Ruijsenaars-Schneider model,
2D Toda τ functions, weighted Hurwitz numbers and the Cayley graph: Determinant representation and recursion formula,
The behavior of the Weyl function in the zero-dispersion KdV limit,
The Krichever map, vector bundles over algebraic curves, and Heisenberg algebras,
Plethystic B-type KP and universal character hierarchies,
Dynamics of general higher-order rogue waves in the two-component nonlinear Schrödinger equation coupled to the Boussinesq equation,
Degeneration of trigonal curves and solutions of the KP-hierarchy,
On reducible degeneration of hyperelliptic curves and soliton solutions,
\(\tau\)-functions, Birkhoff factorizations and difference equations,
Integrability of the Frobenius algebra-valued Kadomtsev-Petviashvili hierarchy,
Dynamics of poles of elliptic solutions to the BKP equation,
The geometry of the super KP flows,
Non-commutative Hermite-Padé approximation and integrability,
Solving the constrained modified KP hierarchy by gauge transformations,
On tau-functions for the KdV hierarchy,
Gauge transformations of two-component KP and mKP hierarchies,
\(P T\)-symmetric nonlocal Davey-Stewartson I equation: general lump-soliton solutions on a background of periodic line waves,
On modified \(B\)KP systems and generalizations,
Kadomtsev-Petviashvili equation: one-constraint method and lump pattern,
Polynomial tau functions of symplectic KP and multi-component symplectic KP hierarchies,
ABJM matrix model and 2D Toda lattice hierarchy,
Quasi-periodic solutions to hierarchies of nonlinear integrable equations and bilinear relations,
Supersymmetric quantum spin chains and modified universal characters,
Reflective prolate‐spheroidal operators and the adelic Grassmannian,
Darboux transformations of the modified BKP hierarchy by fermionic approach,
General higher—order breathers and rogue waves in the two‐component long‐wave–short‐wave resonance interaction model,
Dynamics of general higher-order rogue waves in the two-component long wave-short wave model of Newell type,
The ghost symmetries of the q-KP hierarchy,
Boson–Fermion correspondence of the multi-component constrained mKP hierarchy,
Toda lattice with constraint of type B,
Free fermions and canonical Grothendieck polynomials,
The generalization of strong anisotropic XXZ model and UC hierarchy,
Polynomial tau-functions of the orthogonal KP, multicomponent orthogonal KP and BUC hierarchies,
On Lax operators,
Families of semi-rational solutions to the Kadomtsev-Petviashvili I equation,
Linear transformations of vertex operators presentations of coupled Hall-Littlewood functions,
Unnamed Item,
The ``ghost symmetry in the CKP hierarchy, Elliptic solutions of the semidiscrete B-version of the Kadomtsev-Petviashvili equation, Darboux Transformations for the KP Hierarchy in the Segal-Wilson Setting, Modified constrained KP hierarchy and bi-Hamiltonian structures, \(P T\)-symmetric nonlocal Davey-Stewartson I equation: soliton solutions with nonzero background, Quantum Gaudin model, spin chains, and universal characters, Introduction, KP hierarchy and trigonometric Calogero–Moser hierarchy, Fermionic construction of the partition function for multimatrix models and the multicomponent Toda lattice hierarchy, Doubly localized rogue waves on a background of dark solitons for the Fokas system, Bilinear equation and additional symmetries for an extension of the Kadomtsev-Petviashvili hierarchy, Symmetries of the multi-component supersymmetric (ABC)-type KP hierarchies, Difference Hierarchies for nT τ-functions, Hirota difference equation and a commutator identity on an associative algebra, Dynamics of lump-soliton solutions to the \(PT\)-symmetric nonlocal Fokas system, Block algebra in two-component BKP and D type Drinfeld-Sokolov hierarchies, The applications of the gauge transformation for the BKP hierarchy, Symmetric \(q\)-deformed KP hierarchy, Bilinear Identities and Hirota’s Bilinear Forms for the (γ n , σ k )-KP Hierarchy, Solitons and periodic processes as solutions of functional equations, An algebro-geometric proof of Witten’s conjecture, The Level Manifold of a Generalized Toda Equation Hierarchy, Bright and dark soliton solutions to the partial reverse space-time nonlocal Mel'nikov equation, Characterizations of Jacobians of curves with automorphisms, Soliton theory, symmetric functions and matrix integrals, The relative frame bundle of an infinite-dimensional flag variety and solutions of integrable hierarchies, Matrix modified Kadomtsev-Petviashvili hierarchy, A geometric construction of solutions of the strict \(\mathbf{h}\)-hierarchy, Formulas for \(A_n\)- and \(B_n\)-solutions of WDVV equations, Expressions in Fredholm determinants for solutions of the strict KP hierarchy, Quantum Spin Chains and Integrable Many-Body Systems of Classical Mechanics, Unnamed Item, Integrable hierarchies in the \(\mathbb{N} \times \mathbb{N}\)-matrices related to powers of the shift operator, Gauge Transformation for BC r -KP Hierarchy and Its Compatibility with Additional Symmetry, Geometric solutions of the strict KP hierarchy, Bilinear Identities and Hirota's Bilinear Forms for an Extended Kadomtsev-Petviashvili Hierarchy, Birkhoff Strata of Sato Grassmannian and Algebraic Curves, Darboux transformations of the Supersymmetric BKP hierarchy, Strict versions of integrable hierarchies in pseudodifference operators and the related Cauchy problems, Multiparameter Schur \(Q\)-functions are solutions of the BKP hierarchy, Elliptic solutions to integrable nonlinear equations and many-body systems, Tau function and Hirota bilinear equations for the extended bigraded Toda hierarchy, Bihamiltonian structure of the two-component Kadomtsev–Petviashvili hierarchy of type B, Calogero-Moser spaces and an adelic \(W\)-algebra., On the heat kernel and the Korteweg-de Vries hierarchy., Universal structure and universal equations (PDE) for unitary ensembles, Sato–Bäcklund transformations and string equations of the mKP hierarchy, A note on reductions of the dispersionless Toda hierarchy, Finite heat kernel expansions on the real line, Bilinear expansion of Schur functions in Schur Q-functions: A fermionic approach, Properties of the algebra Psd related to integrable hierarchies, Homogeneous spaces yielding solutions of the k[S –hierarchy and its strict version], On the constrained B-type Kadomtsev–Petviashvili hierarchy: Hirota bilinear equations and Virasoro symmetry, Classical and Stochastic Löwner–Kufarev Equations, Banach algebras associated to Lax pairs, Toda lattice hierarchy and trigonometric Ruijsenaars–Schneider hierarchy, Elliptic solutions to the KP hierarchy and elliptic Calogero–Moser model, Lax pair, conservation laws, and multi-shock wave solutions of the DJKM equation with Bell polynomials and symbolic computation, Enumerative geometry, tau-functions and Heisenberg-Virasoro algebra, How Calogero–Moser particles can stick together, Gelfand–Dickey hierarchy, generalized BGW tau-function, and W-constraints, Coupled KP and BKP hierarchies and the corresponding symmetric functions, Symmetries and bilinear equations for the modified BKP hierarchy, A new generalized constrained modified KP hierarchy, Linear transformations of vertex operators of Hall-Littlewood polynomials, Two types of universal characters and the integrable hierarchies, Higher-order heat equation and the Gelfand-Dickey hierarchy, Tau-function of the multi-component CKP hierarchy, Abelian pole systems and Riemann-Schottky-type problems, Tau-function of the B-Toda hierarchy, Elliptic families of solutions to constrained Toda hierarchy, Principal fiber bundle interpretation of the KP-hierarchy, Lie algebraic approach to \(\tau\)-functions and its equations, Lump-soliton solutions to the Fokas system, Multi-component supersymmetric D type Drinfeld-Sokolov hierarchy and its Virasoro symmetry, Why the general Zakharov-Shabat equations form a hierarchy, From the \(w_\infty\)-algebra to its central extension: a \(\tau\)-function approach, Fock space representations of Virasoro algebra and intertwining operators, Evolution of smooth shapes and integrable systems, On the modified KP hierarchy: tau functions, squared eigenfunction symmetries and additional symmetries, The structure of Hilbert flag varieties, On the space of KdV fields, From \(r\)-spin intersection numbers to Hodge integrals, Kac-Moody groups and integrability of soliton equations, A geometric construction of solutions of the strict \(\mathrm{dKP}(\Lambda_0)\) hierarchy, Moduli spaces of curves and representation theory, Geometric realization of conformal field theory on Riemann surfaces, \(c=I\) conformal field theories on Riemann surfaces, On a Lagrangian reduction and a deformation of completely integrable systems, A remark on the connection between affine Lie algebras and soliton equations, Matrix integrals, Toda symmetries, Virasoro constraints, and orthogonal polynomials, Determinant bundles and Virasoro algebras, Solvability of the super KP equation and generalized of the Birkhoff decomposition, Bihamiltonian cohomologies and integrable hierarchies. II: The tau structures, Decomposition of \(q\)-deformed Fock spaces, New bosonization and conformal field theory over \({\mathbb{Z}}\), Geometrical interpretation of the bilinear equations of the KP hierarchy, Canonical and grand canonical partition functions of Dyson gases as tau-functions of integrable hierarchies and their fermionic realization, Comultiplication in \(ABCD\) algebra and scalar products of Bethe wave functions, The \([n_ 1, n_ 2, \dots, n_ s\)-th reduced KP hierarchy and \(W_{1+ \infty}\) constraints], Nonstandard KP evolution and the quantum \(\tau\)-function, Intertwining operators and Hirota bilinear equations, Pfaffian and determinantal tau functions, The master \(T\)-operator for the Gaudin model and the KP hierarchy, Matrix orthogonal Laurent polynomials on the unit circle and Toda type integrable systems, Recursion relations for the constrained multi-component KP hierarchy, Non-linear PDEs for gap probabilities in random matrices and KP theory, Hamiltonian structures of the constrained \(\mathfrak{F}\)-valued KP hierarchy, Vertex operators, Weyl determinant formulae and Littlewood duality, String equations of the \( q \)-KP hierarchy, Fredholm determinants and the \(\tau\) function for the Kadomtsev- Petviashvili hierarchy, Spin module versions of Weyl's reciprocity theorem for classical Kac- Moody Lie algebras. An application to branching rule duality, Hardy spaces and boundary conditions from the Ising model, The KP hierarchy in Miwa coordinates, Schur function identities arising from the basic representation of \(A^{(2)}_2\), Lie superalgebraic approach to super Toda lattice and generalized super KdV equations, \(\tau\)-functions for a two-point version of the KP-hierarchy, SDiff(2) Toda equation --- hierarchy, tau function, and symmetries, Highest weight modules over the \(W_{1+\infty}\) algebra and the bispectral problem, Random matrices, Virasoro algebras, and noncommutative KP., Representation theoretical meaning of the initial value problem for the Toda lattice hierarchy. II, Quasi-classical limit of Toda hierarchy and \(W\)-infinity symmetries, Quasi-classical limit of BKP hierarchy and \(W\)-infinity symmetries, Vertex operator representation of some quantum tori Lie algebras, Discrete KP equation with self-consistent sources, Noncommutative constrained KP hierarchy and multi-component noncommutative constrained KP hierarchy, The Darboux-type transformations of integrable lattices., An algebraic characterization of the bilinear relations of the matrix hierarchy associated with a commutative algebra of \(k\times k\)-matrices, Group varieties related to the KP hierarchy, Generalized \(Q\)-functions and \(UC\) hierarchy of \(B\)-type, Super boson-fermion correspondence, Equivalence of formulations of the MKP hierarchy and its polynomial tau-functions, On general solitons in the parity-time-symmetric defocusing nonlinear Schrödinger equation, The determinant representation of the gauge transformation for the discrete KP hierarchy, The Hodge-FVH correspondence, Darboux transformations of the supersymmetric constrained B and C type KP hierarchies, Raising operators for the Whittaker wave functions of the Toda chain and intertwining operators, Action of Clifford algebra on the space of sequences of transfer operators, Fermionic approach for evaluating integrals of rational symmetric functions, General soliton solutions to a \((2+1)\)-dimensional nonlocal nonlinear Schrödinger equation with zero and nonzero boundary conditions, Classical tau-function for quantum spin chains, Generalized Drinfeld-Sokolov reductions and KdV type hierarchies, Infinite dimensional symmetric spaces and Lax equations compatible with the infinite Toda chain, Rogue breathers and rogue lumps on a background of dark line solitons for the Maccari system, Kadomtsev-Petviashvili hierarchies of types B and C, \(q\)-universal characters and an extension of the lattice \(q\)-universal characters, Elliptic solutions of the Toda lattice hierarchy and the elliptic Ruijsenaars-Schneider model, On the BKP hierarchy: Additional symmetries, Fay identity and Adler-Shiota-Van Moerbeke formula, KP hierarchy for Hodge integrals, The \(n\)th reduced BKP hierarchy, the string equation and \(BW_{1+\infty}\)-constraints, Affine Kac-Moody algebras and semi-infinite flag manifolds, Operator calculus for \(\widetilde{Q}\)-polynomials and Schubert polynomials, Group theory approach to the \(\tau\)-function and its quantization, Reflectionless Schrödinger operators, the dynamics of zeros, and the solitonic Sato formula, Interaction solutions between lump and stripe soliton to the \((2+1)\)-dimensional Date-Jimbo-Kashiwara-Miwa equation, Rogue waves and hybrid solutions of the Davey-Stewartson I equation, Combinatorics of dispersionless integrable systems and universality in random matrix theory, Super KP equations and Darboux transformations: Another perspective on the Jacobian super KP hierarchy, An elementary approach to the polynomial \(\tau\)-functions of the KP-hierarchy, Toda versus Pfaff lattice and related polynomials., The \(\tau\)-function of the Kadomtsev-Petviashvili equation. Transformation groups for soliton equations. I, Vertex operators and \(\tau\)-functions. Transformation groups for soliton equations. II, Algebraic solutions of the multicomponent KP hierarchy, The symmetric, \(d\)-invariant and Egorov reductions of the quadrilateral lattice, A class of solutions to the self-dual Yang-Mills equations, Vertex operators, symmetric functions, and the spin group \(\Gamma_ n\), Explicit construction of group varieties related to soliton solutions of the KP hierarchy, Geometric Bäcklund-Darboux transformations for the KP hierarchy, Structure of Baker-Akhiezer modules of principally polarized abelian varieties, commuting partial differential operators and associated integrable systems, An \(r\)-matrix approach to nonstandard classes of integrable equations, On a discrete analogue of the two-dimensional Toda lattice hierarchy