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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, ...
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.
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...
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...
Lattice Yang-Mills theories in any dimension may be regarded as coupled 1 + 1-dimensional integrable field theories. These integrable systems decouple at large center-of-mass energies, where the act...
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 ...
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...
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...
2001Vol.36No.1pp.1-6DOI: Symmetry Reductions, Integrability and Solitary Wave Solutions to High-Order Modified Boussinesq Equations with Damping Term YAN Zhen-Ya, XIE Fu-Ding and ...
2001Vol.35No.6pp.647-650DOI: Similarity Reduction and Integrability for the Nonlinear Wave Equations from EPM Model YAN Zhen-Ya Department of Applied Mathematics, ...
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...
2005Vol.43No.6pp.1133-1136DOI: Integrability of N-Component Bariev Model Under Open Boundary Conditions KE San-Min1 and YUE Rui-Hong1,2 1 Institute of Modern Physics, No...
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...

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