Cover Image

Polynomial vector fields in $\mathbb{C}^\infty$ determining differentiation of hyperelliptic functions of any genus

Fuente: arXiv

Saved in:

Bibliographic Details
Main Author:	Bunkova, E. Yu.
Format:	Preprint
Published:	2025
Subjects:	Commutative Algebra Exactly Solvable and Integrable Systems
Online Access:	Acceder al recurso
Tags:	Add Tag No Tags, Be the first to tag this record!

Similar Items

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

Geometric, algebraic and analytic properties of hyperelliptic $\mathrm{al}_{ab}$ function of genus $g$
by: Matsutani, Shigeki
Published: (2026)

$W_{1+\infty}$ flows and multi-component hierarchy (KP case)
by: Orlov, A. Yu.
Published: (2023)

BiHom-Lie brackets and the Toda equation
by: Gai, Botong, et al.
Published: (2025)

Two new super integrable hierarchies and a generalized super-AKNS hierarchy
by: Bi, Yanhui, et al.
Published: (2025)

Pentagram maps over rings, Grassmannians, and skewers
by: Hand, Leaha, et al.
Published: (2024)

A classification of automorphic Lie algebras on complex tori
by: Knibbeler, Vincent, et al.
Published: (2024)

Nonlinear Schrödinger equation in terms of elliptic and hyperelliptic $σ$ functions
by: Matsutani, Shigeki
Published: (2024)

Singularity confinement and proliferation of tau functions for a general differential-difference Sawada-Kotera equation
by: Marin, Andrei, et al.
Published: (2025)

Sigma model instantons and singular tau function
by: Antonov, E. N., et al.
Published: (2023)

Multiple commutation relations of the quantum affine algebra $U_q(\widehat{\mathfrak{gl}}_N)$, nested Bethe vector and the Gelfand-Tsetlin basis
by: Gerrard, Allan John, et al.
Published: (2025)

Contact germs and partial differential equations
by: Kaptsov, O. V.
Published: (2024)

Conformal field theory, solitons, and elliptic Calogero--Sutherland models
by: Berntson, Bjorn K., et al.
Published: (2023)

The $q-$Onsager algebra and multivariable $q-$special functions
by: Baseilhac, Pascal, et al.
Published: (2016)

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

Soliton,breathers,positons and rogue waves for the vector complex modified Korteweg-de Vries equation
by: Liu, Yihang, et al.
Published: (2025)

On differential equations invariant under a projective transformation group: integrability and reductions
by: Euler, Marianna, et al.
Published: (2025)

R-matrix for the XX spin chain in a staggered magnetic field
by: Bibikov, P. N.
Published: (2024)

Non-Abelian elastic collisions, associated difference systems of equations and discrete analytic functions
by: Kassotakis, Pavlos, et al.
Published: (2024)

Complete Weierstrass elliptic function solutions for coherent couplers and their relation to degenerate four-wave mixing
by: Hesketh, Graham
Published: (2026)

Unified structures for solutions of Painlevé equation II and Somos-4 like relations for the tau functions
by: Zullo, Federico, et al.
Published: (2024)

Complete Weierstrass elliptic function solutions and canonical coordinates for four-wave mixing in nonlinear optical fibres
by: Hesketh, Graham
Published: (2026)

Bilinear Expansions of KP Multipair Correlators in BKP Correlators
by: Orlov, Aleksandr Yu.
Published: (2024)

Cluster integrable systems
by: Bershtein, Mikhail
Published: (2025)

On a non-commutative sixth $q$-Painlevé system: from discrete system to surface theory
by: Bobrova, Irina
Published: (2025)

Solutions of 3D Reflection Equation from Quantum Cluster Algebra Associated with Symmetric Butterfly Quiver
by: Inoue, Rei, et al.
Published: (2025)

Deformed Calogero--Moser operators and ideals of rational Cherednik algebras
by: Berest, Yuri, et al.
Published: (2020)

$q$-Analogue of the degree zero part of a rational Cherednik algebra
by: Feigin, Misha, et al.
Published: (2023)

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

Non-Abelian discrete Toda chains and related lattices
by: Bobrova, Irina, et al.
Published: (2023)

Integrability of the Inozemtsev spin chain
by: Chalykh, Oleg
Published: (2024)

A simple approach to identify systems of nonlinear recursions featuring solutions whose evolution is explicitly ascertainable and which may be asymptotically isochronous as functions of the independent variable (a ticking time)
by: Calogero, Francesco
Published: (2024)

Integrable discretization of recursion operators and unified bilinear forms to soliton hierarchies
by: Hu, Xingbiao, et al.
Published: (2017)

On the singularity structure of Kahan discretizations of a class of quadratic vector fields
by: Zander, René
Published: (2020)

Lagrangian formulation of the Darboux system
by: Xue, Lingling, et al.
Published: (2026)

The complex Toda chains and the simple Lie algebras - solutions and large time asymptotics -- II
by: Gerdjikov, V. S., et al.
Published: (1999)

Sundman-like transformations and the NRT nonlinear Schrödinger equation
by: Gordoa, P. R., et al.
Published: (2025)

A $\mathcal C^\infty$-structure-based approach to traveling wave solutions of the gKdV equation
by: Pan-Collantes, Antonio J.
Published: (2025)

Symmetries of Grothendieck rings in representation theory
by: Hernandez, David
Published: (2025)

Representations and characters of quantum affine algebras at the crossroads between cluster categorification and quantum integrable models
by: Hernandez, David
Published: (2025)