Nonlinear Evolution Equations and Dynamical Systems [electronic resource] : Needs ’90 /

I One-Dimensional Integrable Models -- Some Remarks on the Hirota Bilinear Identity -- Hirota Equations of Level > 1 -- Integrable N ? 0 Component Nonlinear Schrödinger Model, Phase Transitions and Supersymmetry -- A Tri-Hamiltonian Extension of the Boussinesq Equation and Its Modification -- A Direct Algebraic Method for Solving Nonlinear Integrable Models -- Multivalued Solitons for a Hybrid Type of the Modified WKI Equation and Related Problems -- Miura Maps at the Turn of a Handle -- On the Integration of the Infinite Toda Lattice -- II Multi-Dimensional (Nonlinear) Models -- Recent Developments in Multidimensional Inverse Scattering -- Asymptotic Bifurcation of Multidimensional Solitons -- Localized Waves in N+1 Dimensions -- Recent Development for Integrable Integro-Differential Equations -- Exactly Solvable Nonlinear Evolution Equations Expressed by Trilinear Form -- A Derivation of Conserved Quantities and Symmetries for the Multi-Dimensional Soliton Equations -- Dromion Solutions for Generic NLS- and KdV-Type Equations -- “Nonstandard” Classes of Integrable Equations in 1+1 and 2+1 Dimensions -- From Polynomial Solutions to a “General” Solution of the BKP Equation -- Solutions of the Davey-Stewartson Equation with Non-Zero Boundary Condition -- Lump Solutions to the BKP Equation -- III Geometric and Algebraic Methods -- Geometry of Ermakov Systems -- Multisoliton Adiabatic Perturbation Theory. Algebraic Approach -- The Algebraic Structure Associated with Systems Possessing Non-Hereditary Recursion Operators -- Homogeneous Manifolds, Factorisation Problems and Modified KdV Equations -- Bäcklund Transformations and Spectral Problems: the Korteweg-de Vries Interacting Soliton Equation and the Action-Angle Transformation -- Integrability of Polynomial-Nonlinear Evolution Equations and Computer Algebra -- Genetic Codes of Lie Algebras and Nonlinear Evolution Equations -- On Some Problems Concerning Local Symplectic Operators -- Infinitesimal Objects of Hypercomplex Systems Generated by Double Adjacent Classes and Nonlinear Differential Equations -- Local Analysis of Nonlinear Equations -- IV Quantum Field Theory -- The q-Deformed Creation and Annihilation Operators as a Realization of the Quantum Superalgebra Bq(0\l) -- The Heisenberg Quantum Group H(l)q: R-Matrix and Non-Commutative Spaces -- Phase Transitions in Kuryshkin’s Algebras -- Semiclassical Quantization of Kowalewski’s Top on 0(4) and 0(3,1) Lie Algebras -- A Model of Electrodynamics in the Momentum Space of Constant Curvature -- V Applications: Nonlinear Optics, Condensed Matter -- Cellular Automaton to Optical Communication: Diversity of Solitons -- Integrable Unstable Model for Interaction of Langmuir Waves with Acoustic Waves in Plasmas -- Self-Localized Excitation in a Polar Medium with Movable Ions -- Nonlinear Waves Dynamics in Nematics Under the Action of Magnetic Fields -- The Action of Effects of Dissipation, Dispersion and Nonstationary Kerr Nonlinearity on the Propagation of Solitons in Resonant Media -- Two-Dimensional Classical Attractors in the Spin Phase Space of the S = 1 Easy-Axis Heisenberg Ferromagnet -- Universal Attractors for Some Dissipative Nonlinear Evolution Equations -- Evolution of Nonlinear Guided Optical Fields in Planar Layered Structures -- Numerical Application of the KP Equation to a Particular Oceanographical Problem -- On a Dimensional Antiferromagnetic Ising Model with Long Range Interaction -- Coherent State Theory and the Field Lattice Model -- Self-Consistent System of Equations for Probability Amplitudes and Displacements in the X-Y Model -- Periodic and Soliton Solutions of the Heat Equation with a Nonlinear Source of Heat -- Stability Properties of Exact Soliton Solutions of the Parametrically Driven, Damped Nonlinear Schrödinger Equation -- Equations for the Frustrated Josephson Junction Array -- List of Participants -- Index of Contributors.

Bibliographic Details

Main Authors:	Makhankov, Vladimir G. editor., Pashaev, Oktay K. editor., SpringerLink (Online service)
Format:	Texto biblioteca
Language:	eng
Published:	Berlin, Heidelberg : Springer Berlin Heidelberg, 1991
Subjects:	Physics., Quantum physics., Quantum computers., Spintronics., Statistical physics., Dynamical systems., Statistical Physics, Dynamical Systems and Complexity., Quantum Information Technology, Spintronics., Quantum Physics.,
Online Access:	http://dx.doi.org/10.1007/978-3-642-76172-0
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