Integrable systems
Darboux transformations with tetrahedral reduction group and related integrable systems
... with integrable non evolutionary differential difference ...related integrable systems, obtained via re- ductions, potentiations and Miura ...
32
Towards the continuous limit of cluster integrable systems
... The organization of the paper is as follows. In Section 2 we review the correspon- dence between dimer models and integrable systems. Section 3 discusses the gluing and splitting of spectral surfaces and ...
34
Methods of Integrable Systems, Geometry, Applied Mathematics (MISGAM)
... There are a great number of collaborations between European researchers in geometry and integrable systems, random matrices, and their applications. However, for the most part these have been established on ...
12
A Kaluza–Klein reduction of super-integrable systems
... In [3] we used the above approach to construct a number of super-integrable systems, including the examples of Sections 3 and 4. The more usual way is to consider functions with general quadratic parts and ...
13
Particles versus fields in PT-symmetrically deformed integrable systems
... new integrable mod- els. Some complex valued multi-particle systems, such as deformations of the Calogero- Moser-Sutherland models, are shown to arise naturally from real valued field equations of ...
12
Discrete Integrable Systems and Poisson Algebras From Cluster Maps
... Cluster algebras were first developed by Fomin and Zelevinsky more than a decade ago [10]. Their structure arises in diverse parts of mathematics and theoretical physics, including Lie theory, quantum algebras, Teichm¨ ...
50
Factorization in integrable systems with impurity
... The reflection-transmission quantum Yang-Baxter equations have the form (2.8- 2.11). They are naturally obtained in the Reflection-Transmission (RT) algebras approach [17] and reproduce as a particular case the original ...
9
Soliton splitting in quenched classical integrable systems.
... integrable systems. We employ the fact that the general solution of such systems can be obtained by the inverse scattering transformation (IST) method ...
23
Multivariate orthogonal polynomials and integrable systems
... the integrable systems associated with multivariate orthogonal polynomials? To answer this question we consulted [39] and we readily noticed the ubiquity of the Gauss–Borel factorization in the subject, and ...
74
Two dimensional gauge theories and quantum integrable systems
... In this section we describe following [3] another instance of the relation between two- dimensional gauge theories and quantum integrability in many-body integrable systems. We consider a generalization of ...
29
Quantization of Integrable Systems and Four Dimensional Gauge Theories
... classical integrable system underlying the moduli space of vacua of the ordinary four dimensional N = 2 ...many-body systems, such as the periodic Toda chain, the elliptic Calogero-Moser system, and their ...
32
Note on the 3-Graded Modified Classical Yang-Baxter Equations and Integrable Systems
... of integrable systems for which one can introduce separately the first and the second Hamiltonian ...of integrable systems has origin in fundamental algebraic properties of the algebra Ξ of ...
7
Direct linearizing transform for three-dimensional discrete integrable systems: the lattice AKP, BKP and CKP equations
... lattice integrable equations are often considered as the most general models in discrete integrable systems theory – 2D and 1D discrete integrable systems can normally be obtained from ...
22
Matrix orthogonal laurent polynomials on the unit circle and toda type integrable systems
... In this paper we consider two semi-infinite block matrices, whose coefficients (matrices in C m×m ) are left and right matrix moments, ordered in a Cantero–Morales–Vel´ azquez style, of a matrix measure on the circle. ...
40
Applications of quantum integrable systems
... We present two applications of quantum integrable systems. First, we predict that it is possible to generate high harmonics from solid state devices by demonstrating that the emission spectrum of a ...
26
Geometric Methods to Investigate Prolongation Structures for Differential Systems with Applications to Integrable Systems
... These types of results turn out to be very useful for further study of integrable equations. They can be used for generating infinite numbers of conservation laws. In addition, the results are independent of any ...
9
Chern-Simons theory on spherical Seifert manifolds, topological strings and integrable systems
... Furthermore, in light of the connection of 4d pure N = 2 Yang–Mills theory with the classical ADE Toda chain, it is natural to speculate that the 5d curves should arise as the spectral curves of some relativistic ...
67
Bi-orthogonal systems on the unit circle, regular semi-classical weights and integrable systems — II
... There is a recent parallel body of work [2,5,23,24] which treats a BOPS defined with a measure d µ( x , y ) on a two-dimensional domain ( x , y ) ⊂ R 2 and the rational modifications of this measure. This is more general ...
52
Spinning strings in AdS(5) x S**5 and integrable systems
... background that carry charges (spins) of the Cartan subalgebra of the global symme- try group can be classified in terms of periodic solutions of the Neumann integrable system. We derive equations which determine ...
49
Dynamics and interpretation of some integrable systems via matrix orthogonal polynomials
... dynamical systems which are a discrete generalization of a KdV equation and showed that such systems have interesting applications on Hamilton ...dynamical systems investigating the spectral ...
20