Schlesinger Transformations for Linearisable EquationsWe introduce the Schlesinger transformations of the Gambier equation. The latter can be written, in both the continuous and discrete cases, as a system of two coupled Riccati equations in cascade…A. Ramani, B. Grammaticos, S. Lafortune·Jul 7, 1998SaveLearn
DNA Transcription Mechanism with a Moving EnzymePrevious numerical investigations of an one-dimensional DNA model with an extended modified coupling constant by transcripting enzyme are integrated to longer time and demonstrated explicitly the…Julian Juhi-Lian Ting·Jul 1, 1998SaveLearn
Geometric Bäcklund--Darboux transformations for the KP hierarchyWe shown that, if you have two planes in the Segal-Wilson Grassmannian that have an intersection of finite codimension, then the corresponding solutions of the KP hierarchy are linked by…G. F. Helminck, J. W. van de Leur·Jun 25, 1998SaveLearn
Möbius invariant integrable lattice equations associated with KP and 2DTL hierarchiesIntegrable lattice equations arising in the context of singular manifold equations for scalar, multicomponent KP hierarchies and 2D Toda lattice hierarchy are considered. These equation generate the…L. V. Bogdanov, B. G. Konopelchenko·Jun 25, 1998SaveLearn
Phonon Scattering by Breathers in the Discrete Nonlinear Schroedinger EquationLinear theory for phonon scattering by discrete breathers in the discrete nonlinear Schroedinger equation using the transfer matrix approach is presented. Transmission and reflection coefficients are…S. Lee, Julian J. -L. Ting, S. Kim·Jun 25, 1998SaveLearn
Initial boundary value problem on a half-line for the MKdV equationInitial boundary value problem on a half-line for the Modified KdV equation is considered with the boundary conditions equal to zero at the origin and initial condition chosen arbitrary decreasing…I. T. Habibullin·Jun 22, 1998SaveLearn
Pfaffian Solutions for the Manin-Radul-Mathieu SUSY KdV and SUSY sine-Gordon EquationsWe reduce the vectorial binary Darboux transformation for the Manin-Radul supersymmetric KdV system in such a way that it preserves the Manin-Radul-Mathieu supersymmetric KdV equation reduction.…Q. P. Liu, Manuel Manas·Jun 11, 1998SaveLearn
Pfaffian form of the Grammian determinant solutions of the BKP hierarchyThe Grammian determinant type solutions of the KP hierarchy, obtained through the vectorial binary Darboux transformation, are reduced, imposing suitable differential constraint on the transformation…Q. P. Liu, Manuel Manas·Jun 11, 1998SaveLearn
Imprimitively generated Lie-algebraic Hamiltonians and separation of variablesTurbiner's conjecture posits that a Lie-algebraic Hamiltonian operator whose domain is a subset of the Euclidean plane admits a separation of variables. A proof of this conjecture is given in…Robert Milson·Jun 11, 1998SaveLearn
Bihamiltonian Geometry, Darboux Coverings, and Linearization of the KP HierarchyWe use ideas of the geometry of bihamiltonian manifolds, developed by Gel'fand and Zakharevich, to study the KP equations. In this approach they have the form of local conservation laws, and can…Gregorio Falqui, Franco Magri, Marco Pedroni·Jun 1, 1998SaveLearn
Singular sector of the KP hierarchy, ∂-operators of non-zero index and associated integrable systemsIntegrable hierarchies associated with the singular sector of the KP hierarchy, or equivalently, with -operators of non-zero index are studied. They arise as the restriction of the standard KP…Boris G. Konopelchenko, Luis Martinez Alonso, Elena Medina·May 29, 1998SaveLearn
Quantization of cohomology in semi-simple Lie algebrasThe space of realizations of a finite-dimensional Lie algebra by first order differential operators is naturally isomorphic to H1 with coefficients in the module of functions. The condition that a…R. Milson, D. Richter·May 29, 1998SaveLearn
On integrability of a (2+1)-dimensional perturbed Kdv equationA (2+1)-dimensional perturbed KdV equation, recently introduced by W.X. Ma and B. Fuchssteiner, is proven to pass the Painlevé test for integrability well, and its 4× 4 Lax pair with two…Sergei Yu. Sakovich·May 22, 1998SaveLearn
Towards second order Lax pairs to discrete Painlevé equations of first degreeWe investigate the question of finding discrete Lax pairs for the six discrete Painlevé equations (Pn). The choice we make is to discretize the pairs of Garnier, once converted to matricial form.R. Conte, M. Musette·May 22, 1998SaveLearn
Connection formulae for degenerated asymptotic solutions of the fourth Painleve equationAll possible 1-parametric classical and transcendent degenerated solutions of the fourth Painleve equation with the corresponding connection formulae of the asymptotic parameters are described.Andrei A. Kapaev·May 21, 1998SaveLearn
From Ramond Fermions to Lame Equations for Orthogonal Curvilinear CoordinatesWe show how Ramond free neutral Fermi fields lead to a τ-function theory of BKP type which describes iso-orthogonal deformations of systems of ortogonal curvilinear coordinates. We also provide a…Manuel Manas, Luis Martinez Alonso·May 20, 1998SaveLearn
Exact Kink Solitons in the Presence of Diffusion, Dispersion, and Polynomial NonlinearityWe describe exact kink soliton solutions to nonlinear partial differential equations in the generic form ut + P(u) ux + νuxx + δuxxx = A(u), with polynomial functions P(u) and A(u) of…E. P. Raposo, D. Bazeia·May 19, 1998SaveLearn
Integrable Extensions of N=2 Supersymmetric KdV Hierarchy Associated with the Nonuniqueness of the Roots of the Lax operatorWe preesent a new supersymmetric integrable extensions of the a=4,N=2 KdV hierarchy. The root of the supersymmetric Lax operator of the KdV equation is generalized, by including additional fields.…Z. Popowicz·May 19, 1998SaveLearn
On Grassmannian Description of the Constrained KP HierarchyThis note develops an explicit construction of the constrained KP hierarchy within the Sato Grassmannian framework. Useful relations are established between the kernel elements of the underlying…H. Aratyn·May 14, 1998SaveLearn
Reduced Vectorial Ribaucour Transformation for the Darboux-Egoroff EquationsThe vectorial fundamental transformation for the Darboux equations is reduced to the symmetric case. This is combined with the orthogonal reduction of Lame type to obtain those vectorial Ribaucour…Q. P. Liu, M. Manas·May 11, 1998SaveLearn
Hidden Algebra of Three-Body Integrable SystemsIt is shown that all 3-body quantal integrable systems that emerge in the Hamiltonian reduction method possess the same hidden algebraic structure. All of them are given by a second degree polynomial…Alexander Turbiner·May 8, 1998SaveLearn
Long range integrable oscillator chains from quantum algebrasCompletely integrable Hamiltonians defining classical mechanical systems of N coupled oscillators are obtained from Poisson realizations of Heisenberg--Weyl, harmonic oscillator and sl(2,)…Angel Ballesteros, Francisco J. Herranz·May 8, 1998SaveLearn
On the Miura and Backlund transformations associated with the supersymmetric Gelfand-Dickey bracketThe supersymmetric version of the Miura and Bäcklund transformations associated with the supersymmetric Gelfand-Dickey bracket are investigated from the point of view of the Kupershmidt-Wilson…Jiin-Chang Shaw, Ming-Hsien Tu·May 7, 1998SaveLearn
Analytical Study of the Julia Set of a Coupled Generalized Logistic MapA coupled system of two generalized logistic maps is studied. In particular influence of the coupling to the behaviour of the Julia set in two dimensional complex space is analyzed both analytically…Katsuhiko Yoshida, Satoru Saito·May 2, 1998SaveLearn
A nonlinear indentity for the scattering phase of integrable modelsA nonlinear identity for the scattering phase of quantum integrable models is proved.N. A. Slavnov·Apr 28, 1998SaveLearn