Search
Search Results
-
-
Generation of higher-dimensional isospectral–nonisospectral integrable hierarchies associated with a new class of higher-dimensional column-vector loop algebras
AbstractWe construct a new class of higher-dimensional column-vector loop algebras. Based on it, a method for generating higher-dimensional...
-
Integrable 3D lattice model in M-theory
It is argued that the supersymmetric index of a certain system of branes in M-theory is equal to the partition function of an integrable...
-
Flag integrable models and generalized graded algebras
We introduce new classes of integrable models that exhibit a structure similar to that of flag vector spaces. We present their Hamiltonians, R -matrice...
-
Classical Yang–Baxter Equation, Lagrangian Multiforms and Ultralocal Integrable Hierarchies
We cast the classical Yang–Baxter equation (CYBE) in a variational context for the first time, by relating it to the theory of Lagrangian multiforms,...
-
Variational Bihamiltonian Cohomologies and Integrable Hierarchies III: Linear Reciprocal Transformations
For an integrable hierarchy which possesses a bihamiltonian structure with semisimple hydrodynamic limit, we prove that the linear reciprocal...
-
-
On the problem of classifying integrable chains with three independent variables
AbstractWe discuss a new method for the classification of integrable nonlinear chains with three independent variables using an example of chains...
-
Sato Theory and Transformation Groups. A Unified Approach to Integrable Systems
More than 20 years ago, it was discovered that the solutions of the Kadomtsev-Petviashvili (KP) hierarchy constitute an infinite-dimensional...
-
Integrable coupled massive Thirring model with field values in a Grassmann algebra
A coupled massive Thirring model of two interacting Dirac spinors in 1 + 1 dimensions with fields taking values in a Grassmann algebra is introduced,...
-
Integrable Wilson loops in ABJM: a Y-system computation of the cusp anomalous dimension
We study the integrability properties of Wilson loops in the đť’© = 6 three-dimensional Chern-Simons-matter (ABJM) theory. We begin with the...
-
Dynamic study of qualitative analysis, traveling waves, solitons, bifurcation, quasiperiodic, and chaotic behavior of integrable kuralay equations
In this work, we implement the bifurcation theory for the planar dynamical system and the complete discrimination system method of polynomials to the...
-
Turbulence on open string worldsheets under non-integrable boundary conditions
We demonstrate the turbulent dynamics of the Nambu-Goto open string in the AdS 3 spacetime. While the motion of a classical closed string in AdS is...
-
3-Dimensional mixed BF theory and Hitchin’s integrable system
The affine Gaudin model, associated with an untwisted affine Kac–Moody algebra, is known to arise from a certain gauge fixing of 4-dimensional mixed...
-
Structurally Stable Nondegenerate Singularities of Integrable Systems
AbstractIn this paper, we study singularities of the Lagrangian fibration given by a completely integrable system. We prove that a nondegenerate...
-
Modulation instability—rogue wave correspondence hidden in integrable systems
The bulk-boundary correspondence is a key feature of topological physics and is universally applicable to Hermitian and non-Hermitian systems. Here,...
-
Geometry of the spectral parameter and renormalisation of integrable sigma-models
In the past few years, the unifying frameworks of 4-dimensional Chern-Simons theory and affine Gaudin models have allowed for the systematic...
-
An integrable road to a perturbative plateau
As has been known since the 90s, there is an integrable structure underlying two-dimensional gravity theories. Recently, two-dimensional gravity...
-
The Integrable sl(2/1) Superspin Chain and the Spin Quantum Hall Effect
The analysis of network models – either directly or by numerical studies of related quantum spin chains with super group symmetry – allows to gain...