Cover Image

Integrability of certain Hamiltonian systems in $2D$ variable curvature spaces

Fuente: arXiv

Saved in:

Bibliographic Details
Main Authors:	Szumiński, Wojciech, Elmandouh, Adel A.
Format:	Preprint
Published:	2024
Subjects:	Exactly Solvable and Integrable Systems
Online Access:	Acceder al recurso
Tags:	Add Tag No Tags, Be the first to tag this record!

Similar Items

Integrability of non-homogeneous Hamiltonian systems with gyroscopic coupling
by: Szumiński, Wojciech, et al.
Published: (2026)

Integrable nonlocal finite-dimensional Hamiltonian systems related to the Ablowitz-Kaup-Newell-Segur system
by: Xia, Baoqiang, et al.
Published: (2024)

Integrability conditions for Boussinesq type systems
by: Heredero, Rafael Hernandez, et al.
Published: (2024)

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

Integrability structures of the $(2+1)$-dimensional Euler equation
by: Krasil'shchik, I. S., et al.
Published: (2025)

On certain solvable systems of 4 nonlinear Ordinary Differential Equations
by: Calogero, Francesco
Published: (2025)

On SK and KK Integrable Systems
by: Gürses, Metin, et al.
Published: (2024)

Integrable Zhaidary equations: reductions and gauge equivalence
by: Sagidullayeva, Zh., et al.
Published: (2022)

Integrable equations with negative evolution numbers
by: Pogrebkov, Andrei
Published: (2026)

Duality of Hamiltonian and Lagrangian formulations for integrable systems
by: Vergallo, Pierandrea, et al.
Published: (2026)

Integrable boundary conditions for the nonlinear Schrödinger hierarchy
by: Xia, Baoqiang
Published: (2025)

Integrable Kuralay equations: geometry, solutions and generalizations
by: Sagidullayeva, Z., et al.
Published: (2022)

Integrability of Nonabelian Differential-Difference Equations: the Symmetry Approach
by: Novikov, Vladimir, et al.
Published: (2024)

The Volterra Integrable case. Novel analytical and numerical results
by: Scalia, M., et al.
Published: (2024)

Integrability, geometry and wave solutions of some Kairat equations
by: Myrzakulova, Zh., et al.
Published: (2023)

The N-species integrable Volterra system as a maximally superintegrable Hamiltonian system
by: Ragnisco, Orlando, et al.
Published: (2025)

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

The Tsarev Generalized Hodograph Method and Isomonodromic Solutions of Integrable Dispersive Systems
by: Makridin, Zakhar V., et al.
Published: (2025)

Fairing of Discrete Planar Curves by Integrable Discrete Analogue of Euler's Elasticae
by: Zurita, Sebastian Elias Graiff, et al.
Published: (2021)

Integrable semi-discretizations of the sine-Gordon equation in non-characteristic coordinates
by: Tsuchida, Takayuki
Published: (2025)

Integrable Twelve-Component Nonlinear Dynamical System on a Quasi-One-Dimensional Lattice
by: Vakhnenko, Oleksiy O., et al.
Published: (2025)

Reducibility of zero curvature representations with application to recursion operators
by: Marvan, Michal
Published: (2003)

Integrable hierarchy for homogeneous realization of the toroidal Lie algebra $\mathcal{L}^{\rm tor}_{r+1}(\mathfrak{sl}_\ell)$
by: Wu, Chao-Zhong, et al.
Published: (2024)

On the integrable six-wave interaction system and its space-time shifted reduction
by: Ablowitz, Mark J., et al.
Published: (2025)

Compatible pairs of Hamiltonian operators of the first and third orders
by: Lorenzoni, Paolo, et al.
Published: (2026)

Hamiltonian and recursion operators for a discrete analogue of the Kaup-Kupershmidt equation
by: Peroni, Edoardo, et al.
Published: (2023)

On the formulation of the NQC variable
by: Shi, Leilei, et al.
Published: (2025)

Fokas-Lenells Derivative nonlinear Schrödinger equation its associated soliton surfaces and Gaussian curvature
by: Talukdar, Sagardeep, et al.
Published: (2024)

Integrable maps in 4D and modified Volterra lattices
by: Hone, A. N. W., et al.
Published: (2023)

Integrable systems in magnetic fields: the generalized parabolic cylindrical case
by: Kubů, O., et al.
Published: (2024)

Geometric Characterization of Liouville Integrability via a Curvature Atlas for Rigid-Body Dynamics
by: Mityushov, Evgeny A.
Published: (2025)

Discrete integrable equations with three independent variables
by: Habibullin, Ismagil T., et al.
Published: (2026)

Integer spin particles necessarily produce half-integer angular momentum in a simple complex and periodic Hamiltonian
by: Shinbrot, Troy
Published: (1995)

Integrability of oscillators and transcendental invariant curves
by: Giné, Jaume, et al.
Published: (2026)

Integrable systems approach to the Schottky problem and related questions
by: Grushevsky, Samuel, et al.
Published: (2025)

Direct linearization of the SU(2) anti-self-dual Yang-Mills equation in various spaces
by: Li, Shangshuai, et al.
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)

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

Quantum Integrable Systems on a Classical Integrable Background
by: Liashyk, Andrii, et al.
Published: (2024)

Action-angle variables for the nonlinear Schrödinger equation on the half-line
by: Xia, Baoqiang
Published: (2024)