#integrable systems
15 papers match
Integrability in Asymptotic Symmetries of Spacetime: the scenario
Corentin Vitel
The paper revisits and extends the construction of an integrable hierarchy associated with the BMS₃ asymptotic symmetry algebra, building a bi‑Hamiltonian structure, Nijenhuis oper…
Quantum Trigonometric Spin Ruijsenaars-Schneider Models from -theoretic Coulomb Branches
Gleb Arutyunov, Lukas Hardi, Rob Klabbers
The paper quantizes the trigonometric spin Ruijsenaars‑Schneider model using the K‑theoretic Coulomb branch of a 4d N=2 necklace quiver gauge theory, constructing an algebra of L‑o…
Vortex Filaments in Hermitian Reductive Lie Algebras
Qing Ding, Xiayu Dong, Shiping Zhong
The paper extends the geometric theory of vortex filament dynamics from Euclidean space and Hermitian symmetric Lie algebras to the broader setting of Hermitian reductive Lie algeb…
Discrete power-law decay of subsystem distance after a quantum quench
Bin Sui, Jiaju Zhang
The paper numerically investigates the decay of the Bures distance between a subsystem’s reduced density matrix and its stationary generalized Gibbs ensemble after a global quench…
The boundary-driven multispecies harmonic process
Francesco Casini, Rouven Frassek, Cristian GiardinÃ
The paper introduces a multispecies harmonic process on a one‑dimensional lattice with boundary reservoirs, linking its Markov generator to an integrable open rational Heisenberg s…
Discrete-time maximally superintegrable systems and deformed symmetry algebras: the Calogero-Moser case
Pavel Drozdov, Giorgio Gubbiotti, Danilo Latini
The paper analyzes the symmetry algebras of the N‑body Calogero‑Moser system and its discrete‑time maximally superintegrable version, showing that the discretization induces a nont…
On Integrable Structures on Non-compact Boundaries in Three-Dimensional Gravity
Hamed Adami, Kristiansen Lara, Anouchah Latifi +1
The paper analyzes three-dimensional Einstein gravity with a negative cosmological constant on non‑compact spatial boundaries, deriving a radial flow for the quasi‑local stress ten…
Riemann-Hilbert approach for the nonlocal modified Korteweg-de Vries equation with a step-like oscillating background
Yan Rybalko
The paper develops a Riemann‑Hilbert framework for solving the Cauchy problem of the nonlocal modified Korteweg‑de Vries equation with oscillating step‑like boundary conditions and…
Quasi-Pfaffian Solutions to Integrable Systems via Sylvester-Moutard Transformations
Claire R Gilson, Chen Shu
The paper defines a new algebraic object called the quasiPfaffian, develops a Sylvester‑Moutard transformation based on its Sylvester identity, and uses it to construct solutions f…
"Goldfish'' equations for infinitely many particles
Francois Leyvraz
The paper investigates extending the exactly solvable “goldfish” system of nonlinear ODEs from a finite number of particles to an infinite number, focusing on the analytic transiti…
Multihump-Multivalley Soliton Families on a Plane Wave Background in Birefringent Optical Fibers
Jin-Peng Yang, Yan-Hong Qin
The paper derives exact multihump‑multivalley soliton families on a plane‑wave background in birefringent optical fibers using the two‑component Fokas‑Lenells equations and Darboux…
Deriving the Quantum Spectral Curve I: Y-system and discontinuity relations
Andrea CavagliÃ, Nicolò Primi, Davide Polvara +2
The paper derives the Y-system and its discontinuity relations for the pure‑Ramond‑Ramond AdS₃×S³×T⁴ superstring from the mirror Thermodynamic Bethe Ansatz, laying groundwork for a…
Superconformal mechanics from N-extended Euler-Calogero-Moser and Calogero models
S. Krivonos, A. Sutulin
The paper constructs two‑particle superconformal mechanical models by decoupling the center of mass in N‑extended Euler‑Calogero‑Moser and Calogero systems, revealing SU(1,1|N) sym…
Global well-posedness of the Toda lattice on an exact spectral phase space
Shuo Zhang
The paper defines an exact spectral phase space for the two‑sided Toda lattice and proves that initial data in this space lead to a unique, globally defined classical solution that…
On the direct scattering theory for the Calogero-Moser derivative nonlinear Schrödinger equation
Sun Ruoci, Wang Deng-shan, Zhao Yi
The paper develops the direct scattering transform for the Calogero‑Moser derivative nonlinear Schrödinger equation on the real line, proving existence of Jost functions, construct…
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