Skip to content

Exactly Solvable and Integrable Systems papers — page 16

solv-intBrowse archive

Computation of Higher-order Symmetries for Nonlinear Evolution and Lattice Equations
A straightforward algorithm for the symbolic computation of higher-order symmetries of nonlinear evolution equations and lattice equations is presented. The scaling properties of the evolution or…
Unal Goktas, Willy HeremanJan 31, 1998
Learn
Chiral Solitons in Generalized Korteweg-de Vries Equations
Generalizations of the Korteweg-de Vries equation are considered, and some explicit solutions are presented. There are situations where solutions engender the interesting property of being chiral,…
D. Bazeia, F. MoraesJan 30, 1998
Learn
Braid Structure and Raising-Lowering Operator Formalism in Sutherland Model
We algebraically construct the Fock space of the Sutherland model in terms of the eigenstates of the pseudomomenta as basis vectors. For this purpose, we derive the raising and lowering operators…
Akira Takamura, Ken'ichi TakanoJan 30, 1998
Learn
Lax pairs for N=2,3 Supersymmetric KdV Equations and their Extensions
We present the Lax operator for the N=3 KdV hierarchy and consider its extensions. We also construct a new infinite family of N=2 supersymmetric hierarchies by exhibiting the corresponding super Lax…
S. Krivonos, A. Pashnev, Z. PopowiczJan 30, 1998
Learn
On the Lakshmanan and gauge equivalent counterpart of the Myrzakulov-VIII equation
The Lakshmanan equivalent counterparts of the some Myrzakulov equations are found.
G. N. NugmanovaJan 27, 1998
Learn
Invariants and Symmetries for Partial Differential Equations and Lattices
Methods for the computation of invariants and symmetries of nonlinear evolution, wave, and lattice equations are presented. The algorithms are based on dimensional analysis, and can be implemented in…
Unal Goktas, Willy HeremanJan 26, 1998
Learn
Vacuum curves of elliptic L-operators and representations of Sklyanin algebra
An algebro-geometric approach to representations of Sklyanin algebra is proposed. To each 2 × 2 quantum L-operator an algebraic curve parametrizing its possible vacuum states is associated. This…
I. Krichever, A. ZabrodinJan 22, 1998
Learn
Computation of conservation laws for nonlinear lattices
An algorithm to compute polynomial conserved densities of polynomial nonlinear lattices is presented. The algorithm is implemented in Mathematica and can be used as an automated integrability test.…
Unal Goktas, Willy HeremanJan 22, 1998
Learn
Hidden quantum R-matrix in discrete time classical Heisenberg magnet
We construct local M-operators for an integrable discrete time version of the classical Heisenberg magnet by convolution of the twisted quantum trigonometric 4×4 R-matrix with certain vectors…
A. ZabrodinJan 22, 1998
Learn
Supersymmetric KP Hierarchy: ``Ghost'' Symmetry Structure, Reductions and Darboux-Backlund Solutions
This paper studies Manin-Radul supersymmetric KP hierarchy (MR-SKP) in three related aspects: (i) We find an infinite set of additional (``ghost'') symmetry flows spanning the same…
H. Aratyn, E. Nissimov, S. PachevaJan 15, 1998
Learn
Matrix Formulation of Hamiltonian Structures of Constrained KP Hierarchy
We give a matrix formulation of the Hamiltonian structures of constrained KP hierarchy. First, we derive from the matrix formulation the Hamiltonian structure of the one-constraint KP hierarchy,…
Wen-Jui Huang, Jiin-Chang Shaw, Ming-Hsien TuJan 15, 1998
Learn
Universal formats for nonlinear dynamical systems
It is demonstrated that very general nonlinear dynamical systems covering all cases arising in practice can be brought down to rate equations of chemical kinetics
Krzysztof KowalskiJan 15, 1998
Learn
The classical r-matrix in a geometric framework
We use a Riemannian (or pseudo-Riemannian) geometric framework to formulate the theory of the classical r-matrix for integrable systems. In this picture the r-matrix is related to a fourth rank…
Kjell RosquistJan 15, 1998
Learn
Nonlinear dynamical systems and classical orthogonal polynomials
It is demonstrated that nonlinear dynamical systems with analytic nonlinearities can be brought down to the abstract Schrödinger equation in Hilbert space with boson Hamiltonian. The Fourier…
Krzysztof KowalskiJan 14, 1998
Learn
Perturbation theory for the modified nonlinear Schrödinger solitons
The perturbation theory based on the Riemann-Hilbert problem is developed for the modified nonlinear Schrödinger equation which describes the propagation of femtosecond optical pulses in nonlinear…
V. S. Shchesnovich, E. V. DoktorovJan 14, 1998
Learn
Functional Tetrahedron Equation
We describe a scheme of constructing classical integrable models in 2+1-dimensional discrete space-time, based on the functional tetrahedron equation - equation that makes manifest the symmetries of…
R. M. Kashaev, I. G. Korepanov, S. M. SergeevJan 13, 1998
Learn
Particles and strings in a (2+1)-D integrable quantum model
We give a review of some recent work on generalization of the Bethe ansatz in the case of 2+1-dimensional models of quantum field theory. As such a model, we consider one associated with the…
Igor G. KorepanovJan 9, 1998
Learn
Dynamical boundary conditions for integrable lattices
Some special solutions to the reflection equation are considered. These boundary matrices are defined on the common quantum space with the other operators in the chain. The relations with the…
Andrey TsiganovJan 9, 1998
Learn
Factorization and the Dressing Method for the Gel'fand-Dikii Hierarch
The isospectral flows of an nth order linear scalar differential operator L under the hypothesis that it possess a Baker-Akhiezer function were originally investigated by Segal and Wilson from…
D. H. Sattinger, J. S. SzmigielskiJan 8, 1998
Learn
Integrable Systems and Isomonodromy Deformations
We analyze in detail three classes of isomondromy deformation problems associated with integrable systems. The first two are related to the scaling invariance of the n× n AKNS hierarchies and…
Richard Beals, D. H. SattingerJan 8, 1998
Learn
Systems of PDEs obtained from factorization in loop groups
We propose a generalization of a Drinfeld-Sokolov scheme of attaching integrable systems of PDEs to affine Kac-Moody algebras. With every affine Kac-Moody algebra and a parabolic subalgebra…
J. Dorfmeister, H. Gradl, J. SzmigielskiJan 8, 1998
Learn
Asymptotics of a class of Fredholm determinants
In this expository article we describe the asymptotics of certain Fredholm determinants which provide solutions to the cylindrical Toda equations, and we explain how these asymptotics are derived.…
Craig A. Tracy, Harold WidomJan 5, 1998
Learn
General vorticity conservation
The motion of an incompressible fluid in Lagrangian coordinates involves infinitely many symmetries generated by the left Lie algebra of group of volume preserving diffeomorphisms of the three…
Hasan GumralJan 5, 1998
Learn
Statistical Mechanics of Non-stretching Elastica in Three Dimensional Space
Recently I proposed a new calculation scheme of a partition function of an immersion object using path integral method and theory of soliton (to appear in J.Phys.A). I applied the scheme to problem…
Shigeki MatsutaniJan 4, 1998
Learn
Dirac Operator of a Conformal Surface Immersed in R4: Further Generalized Weierstrass Relation
In the previous report (J. Phys. A (1997) 30 4019-4029), I showed that the Dirac operator defined over a conformal surface immersed in R3 is identified with the Dirac operator which is generalized…
Shigeki MatsutaniJan 4, 1998
Learn
← PreviousPage 16Next →