Orthogonal and symplectic matrix integrals and coupled KP hierarchyOrthogonal and symplectic matrix integrals are investigated. It is shown that the matrix integrals can be considered as a τ-function of the coupled KP hierarchy, whose solution can be expressed in…Saburo Kakei·Sep 22, 1999SaveLearn
Self-similarity in Spectral Problems and q-special FunctionsSimilarity symmetries of the factorization chains for one-dimensional differential and finite-difference Schrödinger equations are discussed. Properties of the potentials defined by self-similar…I. Loutsenko, V. Spiridonov·Sep 21, 1999SaveLearn
Self-similar solutions of NLS-type dynamical systemsWe study self-similar solutions of NLS-type dynamical systems. Lagrangian approach is used to show that they can be reduced to three canonical forms, which are related by Miura transformations. The…M. Boiti, V. G. Marikhin, F. Pempinelli et al.·Sep 21, 1999SaveLearn
The complex Toda chains and the simple Lie algebras - solutions and large time asymptotics -- IIWe propose a compact and explicit expression for the solutions of the complex Toda chains related to the classical series of simple Lie algebras g. The solutions are parametrized by a minimal set of…V. S. Gerdjikov, E. G. Evstatiev, R. I. Ivanov·Sep 20, 1999SaveLearn
The Structure of the Bazhanov-Baxter Model and a New Solution of the Tetrahedron EquationWe clarify the structure of the Bazhanov-Baxter model of the 3-dim N-state integrable model. There are two essential points, i) the cubic symmetries, and ii) the spherical trigonometry…M. Horibe, K. Shigemoto·Sep 20, 1999SaveLearn
Darboux transformations for a Bogoyavlenskii equation in 2+1 dimensionsWe use the singular manifold method to obtain the Lax pair, Darboux transformations and soliton solutions for a (2+1) dimensional integrable equation.P. G. Estevez, G. A. Hernaez·Sep 17, 1999SaveLearn
Darboux Transformation for Supersymmetric KP HierarchiesWe construct Darboux transformations for the super-symmetric KP hierarchies of Manin--Radul and Jacobian types. We also consider the binary Darboux transformation for the hierarchies. The iterations…Q. P. Liu, Manuel Manas·Sep 16, 1999SaveLearn
Discrete asymptotic nets and W-congruences in Plucker line geometryThe asymptotic lattices and their transformations are studied within the line geometry approach. It is shown that the discrete asymptotic nets are represented by isotropic congruences in the Plucker…Adam Doliwa·Sep 16, 1999SaveLearn
The General Solution of the Complex Monge-Amp\`ere Equation in a space of arbitrary dimensionA general solution to the Complex Monge-Amp\`ere equation in a space of arbitrary dimensions is constructed.D. B. Fairlie, A. N. Leznov·Sep 16, 1999SaveLearn
The Complex Bateman Equation in a space of arbitrary dimensionA general solution to the Complex Bateman equation in a space of arbitrary dimensions is constructed.D. B. Fairlie, A. N. Leznov·Sep 16, 1999SaveLearn
The General Solution of the Complex Monge-Ampère Equation in two dimensional spaceThe general solution to the Complex Monge-Ampère equation in a two dimensional space is constructed.D. B. Fairlie, A. N. Leznov·Sep 16, 1999SaveLearn
The Complex Bateman EquationThe general solution to the Complex Bateman equation is constructed. It is given in implicit form in terms of a functional relationship for the unknown function. The known solution of the usual…D. B. Fairlie, A. N. Leznov·Sep 16, 1999SaveLearn
Pfaff tau-functionsConsider the evolution m tn=n m, m sn=-m()n, on bi- or semi-infinite matrices m=m(t,s), with skew-symmetric initial data…M. Adler, T. Shiota, P. van Moerbeke·Sep 15, 1999SaveLearn
The motion of a rigid body in a quadratic potential: an integrable discretizationThe motion of a rigid body in a quadratic potential is an important example of an integrable Hamiltonian system on a dual to a semidirect product Lie algebra so(n) x Symm(n). We give a Lagrangian…Yuri B. Suris·Sep 14, 1999SaveLearn
Lie point symmetries of integrable evolution equations and invariant solutionsAn integrable hierarchies connected with linear stationary Schrödinger equation with energy dependent potentials (in general case) are considered. Galilei-like and scaling invariance transformations…A. K. Svinin·Sep 14, 1999SaveLearn
CPT Symmetries and the Backlund TransformationsWe show that the auto-Backlund transformations of the sine-Gordon, Korteweg-deVries, nonlinear Schrodinger, and Ernst equations are related to their respective CPT symmetries. This is shown by…Hans J. Wospakrik, Freddy P. Zen·Sep 10, 1999SaveLearn
Canonical transformations of the extended phase space, Toda lattices and Stackel family of integrable systemsWe consider compositions of the transformations of the time variable and canonical transformations of the other coordinates, which map completely integrable system into other completely integrable…Andrey Tsiganov·Sep 10, 1999SaveLearn
New integrable string-like fields in 1+1 dimensionsThe symmetry classification method is applied to the string-like scalar fields in two-dimensional space-time. When the configurational space is three-dimensional and reducible we present the complete…D. K. Demskoy, A. G. Meshkov·Sep 7, 1999SaveLearn
On integrable deformations of the spherical topThe motion on the sphere S2 with the potential V= (x1x2x3)-2/3 is considered. The Lax representation and the linearisation procedure for this two-dimensional integrable system are…Andrey Tsiganov·Sep 7, 1999SaveLearn
On Construction of Recursion Operators From Lax RepresentationIn this work we develop a general procedure for constructing the recursion operators fro non-linear integrable equations admitting Lax representation. Svereal new examples are given. In particular we…Metin Gurses, Atalay Karasu, Vladimir Sokolov·Sep 6, 1999SaveLearn
Discrete Za and Painleve equationsA discrete analogue of the holomorphic map za is studied. It is given by a Schramm's circle pattern with the combinatorics of the square grid. It is shown that the corresponding immersed circle…Sergey I. Agafonov, Alexander I. Bobenko·Sep 1, 1999SaveLearn
Non-symmetry constraints of the AKNS system yielding integrable Hamiltonian systemsThis paper aims to show that there exist non-symmetry constraints which yield integrable Hamiltonian systems through nonlinearization of spectral problems of soliton systems, like symmetry…Wen-Xiu Ma, Si-Ming Zhu·Aug 30, 1999SaveLearn
Type II vertex operators for the An-1(1) face modelPresented is a free boson representation of the type II vertex operators for the An-1(1) face model. Using the bosonization, we derive some properties of the type II vertex operators, such as…H. Furutsu, T. Kojima, Y. -H. Quano·Aug 20, 1999SaveLearn
Towards the Lax formulation of SU(2) principal models with nonconstant metricThe equations that define the Lax pairs for generalized principal chiral models can be solved for any constant nondegenerate bilinear form on SU(2). Necessary conditions for the nonconstant metric on…L. Hlavaty·Aug 18, 1999SaveLearn
Determinant Formulas for the Toda and Discrete Toda EquationsDeterminant formulas for the general solutions of the Toda and discrete Toda equations are presented. Application to the τ functions for the Painlevé equations is also discussed.Kenji Kajiwara, Tetsu Masuda, Masatoshi Noumi et al.·Aug 18, 1999SaveLearn