Solutions of the bigraded Toda hierarchy
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Publication:3015357
DOI10.1088/1751-8113/44/25/255201zbMath1301.37058arXiv1011.4684OpenAlexW2044868133MaRDI QIDQ3015357
Publication date: 12 July 2011
Published in: Journal of Physics A: Mathematical and Theoretical (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1011.4684
Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) Lattice dynamics; integrable lattice equations (37K60)
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DISPERSIONLESS BIGRADED TODA HIERARCHY AND ITS ADDITIONAL SYMMETRY ⋮ Quantum torus algebras and B(C)-type Toda systems ⋮ On a symplectic bigraded Toda hierarchy ⋮ Virasoro symmetries of a coupled rational reduced 2D Toda hierarchy ⋮ Novel extended Zn-Heisenberg ferromagnet models ⋮ Regular solution and lattice Miura transformation of bigraded Toda hierarchy ⋮ Quantum torus symmetry of the KP, KdV and BKP hierarchies ⋮ Block algebra in two-component BKP and D type Drinfeld-Sokolov hierarchies ⋮ Ghost symmetries and multi-fold Darboux transformations of extended Toda hierarchy ⋮ On the extended multi-component Toda hierarchy ⋮ 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 ⋮ Multi-component Toda lattice in centro-affine \(\mathbb{R}^n\) ⋮ 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 ⋮ Block type symmetry of bigraded Toda hierarchy ⋮ The extended \(Z_N\)-Toda hierarchy
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