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QQ-system and Weyl-type transfer matrices in integrable SO(2r) spin chains
We propose the full system of Baxter Q-functions (QQ-system) for the integrable spin chains with the symmetry of the D r Lie algebra. We use this...
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Poncelet property and quasi-periodicity of the integrable Boltzmann system
We study the motion of a particle in a plane subject to an attractive central force with inverse-square law on one side of a wall at which it is...
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Dynamics of diverse wave propagation to integrable Kraenkel–Manna–Merle system under zero dam** effect in ferrites materials
In this study, we investigate the nonlinear dynamics of solitary waves in saturated ferromagnetic materials with an external field of zero...
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Duality of positive and negative integrable hierarchies via relativistically invariant fields
It is shown that the relativistic invariance plays a key role in the study of integrable systems. Using the relativistically invariant sine-Gordon...
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Integrable symplectic maps via reduction of Bäcklund transformation
AbstractWe discuss the stationary potential equations as illustrative examples to explain how to construct integrable symplectic maps via...
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Integrable triples in semisimple Lie algebras
We classify all integrable triples in simple Lie algebras, up to equivalence. The importance of this problem stems from the fact that for each such...
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One-parameter discrete-time Calogero–Moser system
AbstractWe present a new type of integrable one-dimensional many-body systems called a one-parameter Calogero–Moser system. At the discrete...
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Duality relations for overlaps of integrable boundary states in AdS/dCFT
The encoding of all possible sets of Bethe equations for a spin chain with SU( N|M ) symmetry into a QQ -system calls for an expression of spin chain...
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Hamiltonian Structures for Integrable Nonabelian Difference Equations
In this paper we extensively study the notion of Hamiltonian structure for nonabelian differential-difference systems, exploring the link between the...
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Matrix extension of multidimensional dispersionless integrable hierarchies
AbstractWe consistently develop a recently proposed scheme of matrix extensions of dispersionless integrable systems in the general case of...
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Analytical study of solitons for the (2+1)-dimensional Painlevé integrable Burgers equation by using a unified method
In this work, the (2+1)-dimensional Painlevé integrable Burgers equation is investigated. By applying a certain unified method, some analytical...
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Complexity growth in integrable and chaotic models
We use the SYK family of models with N Majorana fermions to study the complexity of time evolution, formulated as the shortest geodesic length on the...
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Cauchy problems related to integrable matrix hierarchies
AbstractWe discuss the solvability of two Cauchy problems in matrix pseudodifferential operators. The first is associated with a set of matrix...
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Integrable structure of BCD conformal field theory and boundary Bethe ansatz for affine Yangian
In these notes we study integrable structures of conformal field theory with BCD symmetry. We realise these integrable structures as
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On the Integrability of a Four-Prototype Rössler System
We consider a four-prototype Rossler system introduced by Otto Rössler among others as prototypes of the simplest autonomous differential equations...
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Magnetic impurities, integrable vortices and the Toda equation
The five integrable vortex equations, recently studied by Manton, are generalized to include magnetic impurities of the Tong–Wong type. Under certain...
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Local and global thermalization in non-Markovian open quantum system
AbstractIn this paper, we study thermalization of spin chains whose two end spins interact with two independent non-Markovian dephasing baths by the...
