Results 1 to 10 of about 398 (176)

Out-of-equilibrium dynamics of the Kitaev model on the Bethe lattice via coupled Heisenberg equations

SciPost Physics, 2022
The Kitaev model on the honeycomb lattice, while being integrable via the spin-fermion mapping, has generally resisted an analytical treatment of the far-from-equilibrium dynamics due to the extensive number of relevant configurations of conserved ...
Oleksandr Gamayun, Oleg Lychkovskiy
doaj   +1 more source

Integrability Conditions for n and t Dependent Dynamical Lattice Equations

Journal of Nonlinear Mathematical Physics, 2004
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Yamilov R, LEVI, Decio
openaire   +1 more source

Integrable maps in 4D and modified Volterra lattices [PDF]

Open Communications in Nonlinear Mathematical Physics
In recent work, we presented the construction of a family of difference equations associated with the Stieltjes continued fraction expansion of a certain function on a hyperelliptic curve of genus $g$. As well as proving that each such discrete system is
A. N. W. Hone, J. A. G. Roberts, P. Vanhaecke, F. Zullo   +3 more
doaj   +1 more source

Q-soliton solution for two-dimensional q-Toda lattice

Қарағанды университетінің хабаршысы. Физика сериясы, 2019
The Toda lattice is a non-linear evolution equation describing an infinite system of masses on a line that interacts through an exponential force. The paper analyzes the construction of soliton solution for the q-Toda lattice in the two-dimensional case.
Б.Б. Кутум, Г.Н. Шайхова
doaj   +1 more source

Dynamic behavior of traveling wave solutions for new couplings of the Burgers equations with time-dependent variable coefficients

Advances in Difference Equations, 2017
In this paper, we develop the nonlinear integrable couplings of Burgers equations with time-dependent variable coefficients. A new simplified bilinear method is used to obtain new multiple-kink solutions and multiple-singular-kink solutions for this ...
Husein M Jaradat
doaj   +1 more source

Darboux transformation and quasideterminant solutions of a noncommutative semi-discrete coupled dispersionless integrable system

Scientific Reports
We present a noncommutative generalization of the semi-discrete coupled dispersionless integrable system. The motivation stems from the role of noncommutative geometry in string theory and D-brane dynamics, and the need to understand soliton dynamics in ...
H. W. A. Riaz, Yakup Yildirim, Tariq Aljaaidi   +2 more
doaj   +1 more source

XYZ Integrability the Easy Way. [PDF]

J Stat Phys
Fendley P, Gehrmann S, Vernier E, Verstraete F.   +3 more
europepmc   +1 more source

Twist Fields in Many-Body Physics. [PDF]

Entropy (Basel)
Doyon B.
europepmc   +1 more source

On Two Non-Ergodic Reversible Cellular Automata, One Classical, the Other Quantum. [PDF]

Entropy (Basel), 2023
Prosen T.
europepmc   +1 more source

Giant Mpemba Effect via Weak Interactions in Open Quantum Systems. [PDF]

Entropy (Basel)
Longhi S.
europepmc   +1 more source