Screen LibraryNonlinear evolution equations & dynamical systems, NEEDS '92 : 8th international workshop, Dubna, Russia, 6-17 July '92 /
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| Corporate Authors: | ; |
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| Group Author: | ; ; |
| Published: |
World Scientific Publishing Co. Pte Ltd.,
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| Publisher Address: | Singapore : |
| Publication Dates: | 1993. |
| Literature type: | eBook |
| Language: | English |
| Subjects: | |
| Online Access: |
http://www.worldscientific.com/worldscibooks/10.1142/2072#t=toc |
| Item Description: | Proceedings of the 8th International Workshop on Nonlinear Evolution Equations and Dynamical Systems (NEEDS '92). |
| Carrier Form: | 1 online resource (506 pages) : illustrations |
| Bibliography: | Includes bibliographical references. |
| ISBN: | 9789814535601 |
| Index Number: | QA377 |
| CLC: | O175.2-532 |
| Contents: | PART 1. ONE-DIMENSIONAL MODELS: Integrability of the Boundary Value Problems for the Ernst Equations -- On Expression of Solutions to Whitham Type Equations in Terms of Abelian Integrals -- Iterative Procedure as Equation of Motion -- Asymptotics of Solutions of the Painlev 1 Difference Analogue -- Deep Reductions for Matrix Lax Systems, Invariant Forms and Elementary Darboux Transforms -- Representation of Time Dependent One Dimensional Hamiltonians in terms of their First Integrals -- Explicit Solutions of the Generalized Ginzburg Landau Equation from Linear Systems -- Positon Solutions of the sinh Gordon Equation -- Positons of the Modified Korteweg de Vries Equation -- PART 2. MORE DIMENSIONAL MODELS: Curved Asymptotic Solitons of the Kadomtsev Petviashvili Equation -- Multidimensional Topological Magnetics admitting Bilinear Representation -- Local Nature of the Self Similar Collapsing Structures described by the Nonlinear Schr dinger Equation -- Hamiltonian Theory over Noncommutative Rings and Integrability -- The 2 + 1 Dimensional Integrable Sine Gordon Equation -- Resolvent Method for Two Dimensional Inverse Problems -- On a Modification of the Painlev Test for the BLP Equation -- Spectral Transform and Soliton Perturbations -- Solution of Boundary Value Problem on a Plane and Half-Plane by Inverse Scattering Transform Vortices in the Sine Gordon System -- On the Dressing Method: Dressing on Nontrivial Background and Exact Solutions of the Special Zakharov Manakov System -- Explosing Gaussons -- Skyrmions in Higher Homotopic Classes -- Painlev Property in 3 + 1 Dimensional Chiral Models -- Boundary Conditions Completely Compatible with the Integrability -- PART 3. ALGEBRAIC, GEOMETRIC, DIRECT AND OTHER ALIKE METHODS: On Exact Solutions for some Integrable Nonlinear Equations of the Schr dinger Type -- Some Soliton Equations from Self Dual Yang Mills Equations -- Self Dual Yang Mills Equations and the Principal Chiral Model -- Integrability for Algebraic Equations, Functional Equations and Cellular Automata -- N = 3 Supersymmetric Extension of KdV Equation -- Differential Equations for Riemann and Prym Theta-Functions -- On a Direct Connection of Symmetries and Virasoro Action -- Generalized Schwarzian KdV Equations -- Self Dual Configurations of Yang Mills Fields in Classical and Quantum Regions -- Self Similarity in the KdV Hierarchy Geometry of the String Equations -- Identity of Fuchs Indices and Painlev Resonances: New No Log Conditions -- PART 4. QUANTUM MODELS: Polynomial Deformations of Lie Algebras in Nonlinear Problems of Quantum Many Body Physics -- The Curved Momentum Space, q-Plane Structures and Ultraviolet Divergences -- Multilocal Fields and Quarks -- Some QCD Nonlinear Equations and Newtonian Iterative Scheme for their Solutions -- Simple Semiclassical Approach to Quantum 1 D Antiferro-magnetism -- Multi-Point Correlators of the Impenetrable Bose Gas -- Radiation Perturbation Theory in Gravity and Quantum Universe as a Hydrogen Atom -- PART 5. APPLICATIONS AND DYNAMICAL SYSTEMS: On a Nonlocal, Nonlinear Schr dinger Equation occurring in Plasma Physics -- On a Nonlocal Zakharov Equation -- Bifurcations and Chaos in Josephson Lattices -- Numerical Investigation of Dynamical Response Functions for the Scalar 4 Lattice Model near the Temperature of Dynamical Phase Transition -- On Possibility of Initial Approximation Construction for Iterative Newton's Scheme by Graphics Means -- Nonlinear Propagation of Ultrashort Acoustic Video Pulses in One Dimensional Parametric Crystal -- Two Exact Solutions for Disclinations in Elastic Continuum Media -- Solution of Nonlinear Inverse Problem using Regularized Iterative Processes for Designing the Magnetic System -- Dynamical Solitons in One Dimensional Nonlinear Diatomic Chain -- Particle Like Solutions of the Continuum Biexciton Model -- Spectral Calculation Method for Nonlinear Dynamics of Laser Beams in Resonant Media -- Classification of Toda Type Scalar Lattices -- Propagation of Ultrashort Electromagnetic Video Pulses in Three and Four-Level Media -- Integrability Aspects of a Higher Order Nonlinear Schr dinger Equation in Nonlinear Optics -- Two Dimensional Nonlinear Sigma Models and Sympletic Geometry on Loop Spaces of (Pseudo) Riemannian Manifolds -- PART 6. ADDENDUM: Hamiltonian Systems of Hydrodynamic Type and Constant Curvature Metrics -- Inverse Spectral Transform for the Modified Kadomtsev Petviashvili Equation and Dromion Solution for the Ishimori Equation -- On One Integrable Systems Family of Interacting Oscillators. |