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On the Complete Integrability of a One Generalized Riemann Type Hydrodynamic System
Lax type integrability Riemann type hydrodynamic system symplectic method differential-algebraic approach
2012/4/26
The complete integrability of a generalized Riemann type hydrodynamic system is studied by means of symplectic and differential-algebraic tools. A compatible pair of polynomial Poissonian structures, ...
Hybrid classical integrability in squashed sigma models
hybrid classical integrability High Energy Physics - Theory Mathematical Physics
2011/10/9
Abstract: We show that SU(2)_L Yangian and q-deformed SU(2)_R symmetries are realized in a two-dimensional sigma model defined on a three-dimensional squashed sphere. These symmetries enable us to dev...
Integrability vs Supersymmetry: Poisson Structures of The Pohlmeyer Reduction
Integrability Supersymmetry Poisson Structures The Pohlmeyer Reduction
2011/7/28
Integrability vs Supersymmetry: Poisson Structures of The Pohlmeyer Reduction.
Abstract: The pentagram map was introduced by R. Schwartz in 1992 for convex planar polygons. Recently, V. Ovsienko, R. Schwartz, and S. Tabachnikov proved Liouville integrability of the pentagram map...
Conservation laws, integrability and transport in one-dimensional quantum systems
Conservation laws one-dimensional quantum systems
2010/11/18
In integrable one-dimensional quantum systems an infinite set of local conserved quantities exists which can prevent a current from decaying completely. For cases like the spin current in the XXZ mode...
On integrability of variable coefficient nonlinear Schrodinger equations
variable coefficient nonlinear Schrodinger Lax pairs technique group-theoretical
2010/4/21
We apply Painlev\'e test to the most general variable coefficient nonlinear Schrodinger (VCNLS) equations as an attempt to identify integrable classes and compare our results versus those obtained by ...
Correlations of RMT Characteristic Polynomials and Integrability: Hermitean Matrices
non-Gaussian ensembles Hermitean random matrices tau-functions
2010/4/6
Integrable theory is formulated for correlation functions of characteristic polynomials associated with invariant non-Gaussian ensembles of Hermitean random matrices. By embedding the correlation func...
On a Nonlocal Ostrovsky-Whitham Type Dynamical System, Its Riemann Type Inhomogeneous Regularizations and Their Integrability
Dynamical System Short-wave perturbations
2010/4/1
Short-wave perturbations in a relaxing medium, governed by a special reduction of the Ostrovsky evolution equation, and later derived by Whitham, are studied using the gradient-holonomic integrability...
In this article we review the basic concepts regarding quantum integrability. Special emphasis is given on the algebraic content of integrable models. The associated algebras are essentially described...
Similarity Reduction and Integrability for the Nonlinear Wave
Equations from EPM Model
nonlinear wave equation
similarity reduction integrability
2007/8/15
2001Vol.35No.6pp.647-650DOI:
Similarity Reduction and Integrability for the Nonlinear Wave
Equations from EPM Model
YAN Zhen-Ya
Department of Applied Mathematics,
...
Integrability of Nonlinear Equations of Motion on Two-Dimensional
World Sheet Space-Time
two-dimensional gravity model string coupling integrability
2007/8/15
2005Vol.44No.2pp.283-287DOI:
Integrability of Nonlinear Equations of Motion on Two-Dimensional
World Sheet Space-Time
YAN Jun
Department of Physics, Sichuan Normal Unive...
Lie Algebraic Structures and Integrability of Long-Short WaveEquation in (2+1) Dimensions
prolongation approach hidden symmetry integrability
2007/8/15
2004Vol.42No.6pp.821-823DOI:
Lie Algebraic Structures and Integrability of Long-Short WaveEquation in (2+1) Dimensions
ZHAO Xue-Qing and LÜ Jing-Fa
College of Physi...