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Exactly Solvable and Integrable Systems papers — page 15

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Correlation Functions of Finite XXZ model with Boundaries
The finite XXZ model with boundaries is considered. We use the Matrix Product Ansatz (MPA), which was originally developed in the studies on the asymmetric simple exclusion process and the quantum…
Yasuhiro Fujii, Miki WadatiMar 13, 1998
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The solution of the N=(0|2) superconformal f-Toda lattice
The general solution of the two-dimensional integrable generalization of the f-Toda chain with fixed ends is explicitly presented in terms of matrix elements of various fundamental representations of…
V. B. Derjagin, A. N. Leznov, A. SorinMar 12, 1998
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A Class of Coupled KdV systems and Their Bi-Hamiltonian Formulations
A Hamiltonian pair with arbitrary constants is proposed and thus a sort of hereditary operators is resulted. All the corresponding systems of evolution equations possess local bi-Hamiltonian…
Wen-Xiu MaMar 11, 1998
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To the Gel'fand-Tsetlin realization of irreducible representations of classical semisimple algebras
It is shown that the Gel'fand-Tsetlin realization of irreducible representations of the An algebra is directly connected with a linear exactly integrable system in the n-dimensional space.…
A. N. LeznovMar 8, 1998
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Miura Transformation between two Non-Linear Equations in 2+1 dimensions
A Dispersive Wave Equation in 2+1 dimensions (2LDW) widely discussed by different authors is shown to be nothing but the modified version of the Generalized Dispersive Wave Equation (GLDW). Using…
J. M. Cervero, P. G. EstevezMar 6, 1998
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The Painlevé Integrability Test
The Painlevé test is a widely applied and quite successful technique to investigate the integrability of nonlinear ODEs and PDEs by analyzing the singularity structure of the solutions. The test is…
Willy HeremanMar 6, 1998
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Algorithmic Integrability Tests for Nonlinear Differential and Lattice Equations
Three symbolic algorithms for testing the integrability of polynomial systems of partial differential and differential-difference equations are presented. The first algorithm is the well-known…
Willy Hereman, Unal Goktas, Michael D. Colagrosso et al.Mar 6, 1998
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On the Law of Transformation of Affine Connection and its Integration. Part 1. Generalization of the Lame equations
The law of transformation of affine connection for n-dimensional manifolds as the system of nonlinear equations on local coordinates of manifold is considered. The extension of the Darboux-Lame…
Valery S. DryumaMar 4, 1998
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Finsler-Geometrical Approach to the Studying of Nonlinear Dynamical Systems
A two dimensional Finsler space associated with the differential equation y''=Y3 y'3+Y2 y'2+Y1 y'+Y0 is characterized by a tensor equation and called the Douglas space. An…
Valery S. Dryuma, Makoto MatsumotoMar 4, 1998
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Extension of Hereditary Symmetry Operators
Two models of candidates for hereditary symmetry operators are proposed and thus many nonlinear systems of evolution equations possessing infinitely many commutative symmetries may be generated. Some…
Wen-Xiu MAMar 3, 1998
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Motion of Curves on Two Dimensional Surfaces and Soliton Equations
A connection is established between the soliton equations and curves moving in a three dimensional space V3. The sign of the self-interacting terms of the soliton equations are related to the…
Metin GursesFeb 27, 1998
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On gauge-equivalent formulations of N=4 SKdV hierarchy
We point out that the N=4 supersymmetric KdV hierarchy, when written through the prepotentials of the bosonic chiral and antichiral N=2 supercurrents, exhibits a freedom related to the possibility to…
E. IvanovFeb 26, 1998
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Solitons, Surfaces, Curves, and the Spin Description of Nonlinear Evolution Equations
The briefly review on the common spin description of the nonlinear evolution equations.
R. MyrzakulovFeb 26, 1998
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What is the relativistic Volterra lattice?
We develop a systematic procedure of finding integrable ''relativistic'' (regular one-parameter) deformations for integrable lattice systems. Our procedure is based on the integrable…
Yuri B. Suris, Orlando RagniscoFeb 24, 1998
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The nondynamical r-matrix structure of the elliptic Ruijsenaars-Schneider model with N=2
We demonstrate that in a certain gauge the elliptic Ruijsenaars-Shneider model with N=2 admits a nondynamical r-matrix structure and the corresponding classical r-matrix is the same as that of its…
Bo-yu Hou, Wen-li YangFeb 22, 1998
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3D symplectic map
Quantum 3D R-matrix in the classical (i.e. functional) limit gives a symplectic map of dynamical variables. The corresponding 3D evolution model is considered. An auxiliary problem for it is a system…
S. M. SergeevFeb 21, 1998
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Supersymmetric Drinfeld-Sokolov reduction
The Drinfeld-Sokolov construction of integrable hierarchies, as well as its generalizations, may be extended to the case of loop superalgebras. A sufficient condition on the algebraic data for the…
F. delduc, L. GallotFeb 20, 1998
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Eigenvector and eigenvalue problem for 3D bosonic model
In this paper we reformulate free field theory models defined on the rectangular D+1 dimensional lattices as D+1 evolution models. This evolution is in part a simple linear evolution on free…
I. G. Korepanov, S. M. SergeevFeb 14, 1998
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Quadratic reductions of quadrilateral lattices
It is shown that quadratic constraints are compatible with the geometric integrability scheme of the multidimensional quadrilateral lattice equation. The corresponding Ribaucour reduction of the…
Adam DoliwaFeb 13, 1998
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A Dirac Sea and thermodynamic equilibrium for the quantized three-wave interaction
The classical version of the three wave interaction models the creation and destruction of waves; the quantized version models the creation and destruction of particles. The quantum three wave…
R. Beals, D. H. Sattinger, E. WilliamsFeb 11, 1998
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Multi-parameter deformed and nonstandard Y(glM) Yangian symmetry in integrable variants of Haldane-Shastry spin chain
By using `anyon like' representations of permutation algebra, which pick up nontrivial phase factors while interchanging the spins of two lattice sites, we construct some integrable variants of…
B. Basu-MallickFeb 10, 1998
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A systematic construction of completely integrable Hamiltonians from coalgebras
A universal algorithm to construct N-particle (classical and quantum) completely integrable Hamiltonian systems from representations of coalgebras with Casimir element is presented. In particular,…
Angel Ballesteros, Orlando RagniscoFeb 6, 1998
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Chiral Solutions to Generalized Burgers and Burgers-Huxley Equations
We investigate generalizations of the Burgers and Burgers-Huxley equations. The investigations we offer focus attention mainly on presenting explict analytical solutions by means of relating these…
D. BazeiaFeb 6, 1998
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Surfaces, curves and the Lakshmanan equivalent counterparts of the some Myrzakulov equations
The Lakshmanan equivalent counterparts of the some Myrzakulov equations are found.
G. N. NugmanovaFeb 6, 1998
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Hierarchy of Higher Dimensional Integrable System
Integrable equations in (1 + 1) dimensions have their own higher order integrable equations, like the KdV, mKdV and NLS hierarchies etc. In this paper we consider whether integrable equations in…
Yu Song-Ju, Kouichi Toda, Takeshi FukuyamaFeb 3, 1998
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