The extended bigraded Toda hierarchy
From MaRDI portal
Publication:5484450
DOI10.1088/0305-4470/39/30/003zbMath1096.37041arXivmath-ph/0604024OpenAlexW3101014579MaRDI QIDQ5484450
Publication date: 17 August 2006
Published in: Journal of Physics A: Mathematical and General (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/math-ph/0604024
Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) Gromov-Witten invariants, quantum cohomology, Frobenius manifolds (53D45) Lattice dynamics; integrable lattice equations (37K60)
Related Items
Generalized ILW hierarchy: solutions and limit to extended lattice GD hierarchy, The extended D-Toda hierarchy, DISPERSIONLESS BIGRADED TODA HIERARCHY AND ITS ADDITIONAL SYMMETRY, Integrable structure of melting crystal model with two \(q\)-parameters, Extended lattice Gelfand–Dickey hierarchy, Mirror symmetry for extended affine Weyl groups, R-MATRICES AND HAMILTONIAN STRUCTURES FOR CERTAIN LAX EQUATIONS, Quantum torus algebras and B(C)-type Toda systems, Infinite-dimensional Frobenius manifolds for \(2+1\) integrable systems, On a symplectic bigraded Toda hierarchy, Extensions and generalizations of lattice Gelfand-Dickey hierarchy, Virasoro symmetries of a coupled rational reduced 2D Toda hierarchy, Novel extended Zn-Heisenberg ferromagnet models, From wave functions to tau-functions for the Volterra lattice hierarchy, Fractional Volterra hierarchy, The constrained KP hierarchy and the bigraded Toda hierarchy of \((M, 1)\)-type, Additional symmetries of the dispersionless extended noncommutative Gelfand–Dickey hierarchy, The spaces of Laurent polynomials, Gromov-Witten theory of ℙ1-orbifolds and integrable hierarchies, Infinite-dimensional Frobenius manifolds underlying the Toda lattice hierarchy, Regular solution and lattice Miura transformation of bigraded Toda hierarchy, On the squared eigenfunction symmetry of the Toda lattice hierarchy, Central invariants of the constrained KP hierarchies, Block algebra in two-component BKP and D type Drinfeld-Sokolov hierarchies, Rational reductions of the 2D-Toda hierarchy and mirror symmetry, Ghost symmetries and multi-fold Darboux transformations of extended Toda hierarchy, Poisson pencils, algebraic integrability, and separation of variables, Extended affine Weyl groups of BCD-type: their Frobenius manifolds and Landau-Ginzburg superpotentials, On the extended multi-component Toda hierarchy, Discretization of nonlinear evolution equations over associative function algebras, Two-parameter generalizations of Cauchy bi-orthogonal polynomials and integrable lattices, Sato theory on the \(q\)-Toda hierarchy and its extension, Bosonic symmetries of the extended fermionic \((2N, 2M)\)-Toda hierarchy, Multicomponent fractional Volterra hierarchy and its subhierarchy with Virasoro symmetry, Constrained lattice-field hierarchies and Toda system with Block symmetry, On tau-functions for the Toda lattice hierarchy, Integrability on generalized q-Toda equation and hierarchy, Bi-Hamiltonian structure of the extended noncommutative Toda hierarchy, A strongly coupled extended Toda hierarchy and its Virasoro symmetry, Local and non-local multiplicative Poisson vertex algebras and differential-difference equations, Tau function and Hirota bilinear equations for the extended bigraded Toda hierarchy, Block type symmetry of bigraded Toda hierarchy, A note on reductions of the dispersionless Toda hierarchy, Principal hierarchies of infinite-dimensional Frobenius manifolds: the extended 2D Toda lattice, Darboux transformations and Fay identities for the extended bigraded Toda hierarchy, The extended \(Z_N\)-Toda hierarchy, Dressing operators in equivariant Gromov–Witten theory of CP1