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Experimental verification of generalized eigenstate thermalization hypothesis in an integrable system [PDF]

open access: yesLight: Science & Applications, 2022
Identifying the general mechanics behind the equilibration of a complex isolated quantum system towards a state described by only a few parameters has been the focus of attention in non-equilibrium thermodynamics.
Qin-Qin Wang   +10 more
doaj   +2 more sources

Some bi-Hamiltonian Systems and their Separation of Variables on 4-dimensional Real Lie Groups [PDF]

open access: yesSahand Communications in Mathematical Analysis, 2021
In this work, we discuss bi-Hamiltonian structures on a family of integrable systems on 4-dimensional real Lie groups. By constructing the corresponding control matrix  for this family of bi-Hamiltonian structures, we obtain an explicit process for ...
Ghorbanali Haghighatdoost   +2 more
doaj   +1 more source

On the integrable deformations of a system related to the motion of two vortices in an ideal incompressible fluid [PDF]

open access: yesITM Web of Conferences, 2019
Altering the first integrals of an integrable system integrable deformations of the given system are obtained. These integrable deformations are also integrable systems, and they generalize the initial system.
Lăzureanu Cristian   +2 more
doaj   +1 more source

Exact solutions and Darboux transformation for the reverse space–time non-local fifth-order non-linear Schrödinger equation

open access: yesFrontiers in Physics, 2023
In this paper, the non-local reverse space−time fifth-order non-linear Schrödinger(NLS) equation has been investigated, which is proposed by the non-local reduction of Ablowitz–Kaup–Newell–Segur (AKNS) scattering problems.
Xinrui Shi   +3 more
doaj   +1 more source

Generalized algebraic completely integrable systems [PDF]

open access: yesSurveys in Mathematics and its Applications, 2020
We tackle in this paper the study of generalized algebraic completely integrable systems. Some interesting cases of integrable systems appear as coverings of algebraic completely integrable systems.
Ahmed Lesfari
doaj  

Single peaked traveling wave solutions to a generalized μ-Novikov Equation

open access: yesAdvances in Nonlinear Analysis, 2020
In this paper, we study the existence of peaked traveling wave solution of the generalized μ-Novikov equation with nonlocal cubic and quadratic nonlinearities.
Moon Byungsoo
doaj   +1 more source

Complex Lagrangians in a hyperKähler manifold and the relative Albanese

open access: yesComplex Manifolds, 2020
Let M be the moduli space of complex Lagrangian submanifolds of a hyperKähler manifold X, and let ω̄ : 𝒜̂ → M be the relative Albanese over M. We prove that 𝒜̂ has a natural holomorphic symplectic structure.
Biswas Indranil   +2 more
doaj   +1 more source

Inozemtsev system as Seiberg-Witten integrable system

open access: yesJournal of High Energy Physics, 2021
In this work we establish that the Inozemtsev system is the Seiberg-Witten integrable system encoding the Coulomb branch physics of 4d N $$ \mathcal{N} $$ = 2 USp(2N) gauge theory with four fundamental and (for N ≥ 2) one antisymmetric tensor ...
Philip C. Argyres   +2 more
doaj   +1 more source

Integrability on the Master Space [PDF]

open access: yes, 2012
It has been recently shown that every SCFT living on D3 branes at a toric Calabi-Yau singularity surprisingly also describes a complete integrable system.
A Butti   +29 more
core   +1 more source

An approximating method for the stabilizing solution of the Hamilton-Jacobi equation for integrable systems using Hamiltonian perturbation theory [PDF]

open access: yes, 2006
In this report, a method for approximating the stabilizing solution of the Hamilton-Jacobi equation for integrable systems is proposed using symplectic geometry and a Hamiltonian perturbation technique.
Sakamoto, N., Schaft, A.J. van der
core   +6 more sources

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