On a symplectic bigraded Toda hierarchy
DOI10.1007/s10114-023-1253-4zbMath1522.37078OpenAlexW4366123513MaRDI QIDQ6073876
Publication date: 18 September 2023
Published in: Acta Mathematica Sinica. English Series (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s10114-023-1253-4
Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) Completely integrable finite-dimensional Hamiltonian systems, integration methods, integrability tests (37J35) Relations of infinite-dimensional Hamiltonian and Lagrangian dynamical systems with algebraic geometry, complex analysis, and special functions (37K20) Relations of infinite-dimensional Hamiltonian and Lagrangian dynamical systems with infinite-dimensional Lie algebras and other algebraic structures (37K30)
Cites Work
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- Quantum torus algebras and B(C)-type Toda systems
- Finite-dimensional tau functions of the universal character hierarchy
- Universal characters, integrable chains and the Painlevé equations
- Multi-component universal character hierarchy and its polynomial tau-functions
- Polynomial tau functions of symplectic KP and multi-component symplectic KP hierarchies
- Block type symmetry of bigraded Toda hierarchy
- Hirota equations for the extended bigraded Toda hierarchy and the total descendent potential of $\mathbb {C}P^1$ orbifolds
- Solutions of the bigraded Toda hierarchy
- DISPERSIONLESS BIGRADED TODA HIERARCHY AND ITS ADDITIONAL SYMMETRY
- Two-component symplectic universal characters and integrable hierarchies
- Generalized symplectic Schur functions and SUC hierarchy
- Tau function and Hirota bilinear equations for the extended bigraded Toda hierarchy
- The additional symmetries for the BTL and CTL hierarchies
- The extended bigraded Toda hierarchy
- Polynomial tau-functions of the KP, BKP, and the s-component KP hierarchies