Cover Image

Quantisation ideals, canonical parametrisations of the unipotent group and consistent integrable systems

Fuente: arXiv

Saved in:

Bibliographic Details
Main Authors:	Chirkov, M. A., Mikhailov, A. V., Talalaev, D. V.
Format:	Preprint
Published:	2025
Subjects:	Exactly Solvable and Integrable Systems Mathematical Physics 81R12, 53D55
Online Access:	Acceder al recurso
Tags:	Add Tag No Tags, Be the first to tag this record!

Similar Items

On a family of Poisson brackets on gl(n) compatible with the Sklyanin bracket
by: Sokolov, Vladimir V., et al.
Published: (2025)

On the solutions of the local Zamolodchikov tetrahedron equation
by: Chirkov, M., et al.
Published: (2024)

On integrable by Euler planar differential systems
by: Tsiganov, A. V.
Published: (2026)

Zhukovsky-Volterra top and quantisation ideals
by: Mikhailov, A., et al.
Published: (2024)

Lagrangian multiforms and dispersionless integrable systems
by: Ferapontov, Evgeny V., et al.
Published: (2025)

Algebraic quantisation approach to integrable differential-difference equations
by: Carpentier, Sylvain, et al.
Published: (2025)

Contact line bundles, foliations, and integrability
by: Jovanovic, Bozidar
Published: (2025)

On tensor invariants of the Clebsch system
by: Tsiganov, A. V.
Published: (2025)

Derivation of Painlevé type system with $D_4^{(1)}$ affine Weyl group symmetry in a self-similarity limit
by: Aratyn, H., et al.
Published: (2023)

Negative flows for several integrable models
by: Adler, V. E.
Published: (2023)

Iterative polynomial regularisation of PIV-type: Hamiltonian systems and Newton polygons
by: Dell'Atti, Marta, et al.
Published: (2025)

Commutative Poisson algebras from deformations of noncommutative algebras
by: Mikhailov, Alexander V., et al.
Published: (2024)

Quadratic Bureau-Guillot systems with the first and second Painlevé transcendents in the coefficients. Part I: geometric approach and birational equivalence
by: Dell'Atti, Marta, et al.
Published: (2025)

Rotations and integrability
by: Tsiganov, A. V.
Published: (2023)

The Lie -Bianchi integrability of the full symmetric Toda system
by: Chernyakov, Yury B., et al.
Published: (2025)

On the Lie noncommutative integrability
by: Tsiganov, A. V.
Published: (2026)

A direct method in noncommutative integrable systems
by: Li, Shi-Hao, et al.
Published: (2025)

From one to infinity: symmetries of integrable systems
by: Lou, S. Y., et al.
Published: (2023)

Regular F -manifolds with eventual identities
by: Perletti, Sara, et al.
Published: (2024)

(3+1)-dimensional modified Kadomtsev-Petviashvili equation and its \bar{\partial}-formalism
by: Li, Yue, et al.
Published: (2025)

(Non)displaceability in semitoric systems
by: Hohloch, Sonja, et al.
Published: (2024)

On B type family of Dubrovin-Frobenius manifolds and their integrable systems
by: Basalaev, Alexey
Published: (2023)

KdV hierarchies and quantum Novikov's equations
by: Buchstaber, V. M., et al.
Published: (2021)

Revisiting Bäcklund-Darboux transformations for KP and BKP integrable hierarchies
by: Zabrodin, A.
Published: (2025)

A family of integrable maps associated with the Volterra lattice
by: Hone, A. N. W., et al.
Published: (2023)

On tensor invariants for integrable cases of Euler, Lagrange and Kovalevskaya rigid body motion
by: Tsiganov, A. V.
Published: (2024)

Multisymplectic structure of nonintegrable Henon-Heiles system
by: Tsiganov, A. V.
Published: (2025)

On the Darboux-Halphen system: Jacobi vs Lie
by: Tsiganov, A. V.
Published: (2026)

$\mathrm{PGL}(3)$-invariant integrable systems from factorisation of linear differential and difference operators
by: Nijhoff, Frank, et al.
Published: (2026)

Diagonal invariants and genus-zero Hurwitz Frobenius manifolds
by: Proserpio, Alessandro, et al.
Published: (2024)

Modified open Toda chain and quasi-integrability
by: Blas, H., et al.
Published: (2025)

Darboux transformations and related non-Abelian integrable differential-difference systems of the derivative nonlinear Schrödinger type
by: Peroni, Edoardo, et al.
Published: (2025)

Commuting integrable maps from a deformed D$_4$ cluster algebra
by: Hone, A. N. W., et al.
Published: (2025)

Vector systems of Painlevé type
by: Adler, V. E., et al.
Published: (2025)

On consistency around a $3 \times 3\times 3$ cube and Q3 analogue of the lattice Boussinesq equation
by: Sun, Pengyu, et al.
Published: (2026)

Multidimensional integrable systems from contact geometry
by: Sergyeyev, A.
Published: (2025)

Solutions of Three-Dimensional Stationary Gas Dynamics Equations
by: Kaptsov, O. V.
Published: (2025)

Darboux formulae for linear hyperbolic equations in discrete case
by: Smirnov, Sergey V.
Published: (2025)

Solitons of the constrained Schrödinger equations
by: Vekslerchik, V. E.
Published: (2025)

Negative flows and non-autonomous reductions of the Volterra lattice
by: Adler, V. E.
Published: (2023)