Integrability Tests for Nonlinear Evolution EquationsDiscusses several integrability tests for nonlinear evolution equations.Willy Hereman, Unal Goktas·Apr 30, 1999SaveLearn
Inverse scattering method and vector higher order nonlinear Schrodinger equationA generalised inverse scattering method has been developed for arbitrary n dimensional Lax equations. Subsequently, the method has been used to obtain N soliton solutions of a vector higher order…Sasanka Ghosh, Sudipta Nandy·Apr 29, 1999SaveLearn
Multi-Component Matrix KP Hierarchies as Symmetry-Enhanced Scalar KP Hierarchies and Their Darboux-B"acklund SolutionsWe show that any multi-component matrix KP hierarchy is equivalent to the standard one-component (scalar) KP hierarchy endowed with a special infinite set of abelian additional symmetries, generated…Henrik Aratyn, Emil Nissimov, Svetlana Pacheva·Apr 29, 1999SaveLearn
Mappings preserving locations of movable poles: a new extension of the truncation method to ordinary differential equationsThe truncation method is a collective name for techniques that arise from truncating a Laurent series expansion (with leading term) of generic solutions of nonlinear partial differential equations…Pilar R. Gordoa, Nalini Joshi, Andrew Pickering·Apr 29, 1999SaveLearn
The Pfaff lattice and skew-orthogonal polynomialsConsider a semi-infinite skew-symmetric moment matrix, m evolving according to the vector fields m / tk=k m+m k , where is the shift matrix. Then the…M. Adler, E. Horozov, P. van Moerbeke·Apr 27, 1999SaveLearn
Optical solitons in higher order nonlinear Schrodinger equationWe show the complete integrability and the existence of optical solitons of higher order nonlinear Schrodinger equation by inverse scattering method for a wide range of values of coefficients. This…Sasanka Ghosh, Sudipta Nandy·Apr 26, 1999SaveLearn
Compacton-like Solutions for Modified KdV and other Nonlinear EquationsWe present compacton-like solution of the modified KdV equation and compare its properties with those of the compactons and solitons. We further show that, the nonlinear Schrödinger equation with a…C. Nagaraja Kumar, Prasanta K. Panigrahi·Apr 23, 1999SaveLearn
Soliton solutions, Liouville integrability and gauge equivalence of Sasa Satsuma equationExact integrability of the Sasa Satsuma eqation (SSE) in the Liouville sense is established by showing the existence of an infinite set of conservation laws. The explicit form of the conserved…Sasanka Ghosh, Anjan Kundu, Sudipta Nandy·Apr 17, 1999SaveLearn
Quasi-Periodic and Periodic Solutions for Systems of Coupled Nonlinear SCHRÖdinger EquationsWe consider travelling periodic and quasiperiodic wave solutions of a set of coupled nonlinear Schrödimger equations. In fibre optics these equations can be used to model single mode fibers with…P. L. Christiansen, J. C. Eilbeck, V. Z. Enolskii et al.·Apr 16, 1999SaveLearn
Korteweg-de Vries hierarchy and related completely integrable systems: I. Algebro-geometrical approachWe consider complementary dynamical systems related to stationary Korteweg-de Vries hierarchy of equations. A general approach for finding elliptic solutions is given. The solutions are expressed in…N. A. Kostov·Apr 16, 1999SaveLearn
Nonlinear waves, differential resultant, computer algebra and completely integrable dynamical systemsThe hierarchy of integrable equations are considered. The dynamical approach to the theory of nonlinear waves is proposed. The special solutions(nonlinear waves) of considered equations are derived.…N. A. Kostov, Z. T. Kostova·Apr 16, 1999SaveLearn
Invariant Modules and the Reduction of Nonlinear Partial Differential Equations to Dynamical SystemsWe completely characterize all nonlinear partial differential equations leaving a given finite-dimensional vector space of analytic functions invariant. Existence of an invariant subspace leads to a…Niky Kamran, Robert Milson, Peter Olver·Apr 15, 1999SaveLearn
Solitons in a 3d integrable modelEquations of motion for a classical 3d discrete model, whose auxialiary system is a linear system, are investigated. The Lagrangian form of the equations of motion is derived. The Lagrangian…S. Sergeev·Apr 14, 1999SaveLearn
Differential equations and duality in massless integrable field theories at zero temperatureFunctional relations play a key role in the study of integrable models. We argue in this paper that for massless field theories at zero temperature, these relations can in fact be interpreted as…P. Fendley, H. Saleur·Apr 12, 1999SaveLearn
On the M-XX equationThe (2+1)-dimensional integrable M-XX equation is considered.R. Myrzakulov·Apr 12, 1999SaveLearn
Kinetic and Transport Equations for Localized Excitations in Sine-Gordon ModelWe analyze the kinetic behavior of localized excitations - solitons, breathers and phonons - in Sine-Gordon model. Collision integrals for all type of localized excitation collision processes are…I. V. Baryakhtar, V. G. Baryakhtar, E. N. Economou·Apr 8, 1999SaveLearn
Painlevé analysis of the coupled nonlinear Schrödinger equation for polarized optical waves in an isotropic mediumUsing the Painlevé analysis, we investigate the integrability properties of a system of two coupled nonlinear Schrödinger equations that describe the propagation of orthogonally polarized optical…Q-Han Park, H. J. Shin·Apr 6, 1999SaveLearn
Conservation Laws in Higher-Order Nonlinear Optical EffectsConservation laws of the nonlinear Schrödinger equation are studied in the presence of higher-order nonlinear optical effects including the third-order dispersion and the self-steepening. In a…Jongbae Kim, Q-Han Park, H. J. Shin·Apr 6, 1999SaveLearn
Complex sine-Gordon Equation in Coherent Optical Pulse PropagationIt is shown that the McCall-Hahn theory of self-induced transparency in coherent optical pulse propagation can be identified with the complex sine-Gordon theory in the sharp line limit. We…Q-Han Park, H. J. Shin·Apr 6, 1999SaveLearn
The tetrahedral analog of Veneziano amplitudeIn solv-int/9812016 it was shown that the Veneziano amplitude in string theory comes naturally from one of the simplest solutions of the functional pentagon equation (FPE). More generally, FPE is…I. G. Korepanov·Mar 31, 1999SaveLearn
Suppression and Enhancement of Soliton Switching During Interaction in Periodically Twisted Birefringent FiberSoliton interaction in periodically twisted birefringent optical fibers has been analysed analytically with refernce to soliton switching. For this purpose we construct the exact general two-soliton…R. Radhakrishnan, M. Lakshmanan·Mar 31, 1999SaveLearn
Recurrent procedure for the determination of the Free Energy ε2-expansion in the Topological String TheoryWe present here the iteration procedure for the determination of free energy ε2-expansion using the theory of KdV - type equations. In our approach we use the conservation laws for KdV - type…B. A. Dubrovin, A. Ya. Maltsev·Mar 30, 1999SaveLearn
Backlund transformations for many-body systems related to KdVWe present Backlund transformations (BTs) with parameter for certain classical integrable n-body systems, namely the many-body generalised Henon-Heiles, Garnier and Neumann systems. Our construction…A. N. W. Hone, V. B. Kuznetsov, O. Ragnisco·Mar 29, 1999SaveLearn
Discrete equations and the singular manifold methodThe Painleve expansion for the second Painleve equation (PII) and fourth Painleve equation (PIV) have two branches. The singular manifold method therefore requires two singular manifolds. The double…P. G. Estevez, P. A. Clarkson·Mar 29, 1999SaveLearn
Pole Dynamics for Elliptic Solutions of the Korteweg-deVries EquationThe real, nonsingular elliptic solutions of the Korteweg-deVries equation are studied through the time dynamics of their poles in the complex plane. The dynamics of these poles is governed by a…Bernard Deconinck, Harvey Segur·Mar 26, 1999SaveLearn