Nonlinear Evolution Equations and Dynamical Systems

Nonlinear Evolution Equations and Dynamical Systems edited by Sandra Carillo, Orlando Ragnisco.

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Bibliographic Details
Corporate Author: SpringerLink (Online service)
Other Authors: Carillo, Sandra (Editor), Ragnisco, Orlando (Editor)
Format: eBook
Language:English
Published: Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer, 1990.
Edition:1st ed. 1990.
Series:Research Reports in Physics,
Springer eBook Collection.
Subjects:
Statistical physics.
Dynamical systems.
Quantum computers.
Spintronics.
Quantum physics.
Electronic resources (E-books)
Online Access:Click to view e-book
Holy Cross Note:Loaded electronically.
Electronic access restricted to members of the Holy Cross Community.
Table of Contents:
  • I Integrable Systems in (2+1)-Dimensions
  • Solitons and Dromions, Coherent Structures in a Nonlinear World
  • Boundary Value Problems in 1+1 and in 2+1, the Dressing Method, and Cellular Automata
  • Exponentially Localized Solitons in 2+1 Dimensions
  • On the Boundary Conditions of the Davey-Stewartson Equation
  • Rational Solutions to the Two-Component K-P Hierarchies
  • Construction of Inverse Data in Multidimensions
  • II Criteria and Tests of Integrability: Painlevé Property, Hirota Method, Lie-Bäcklund Symmetries
  • Examples of Nonclassical Similarity Reductions
  • Equations That Pass Hirota’s Three-Soliton Condition and Other Tests of Integrability
  • Selection of Solvable Nonlinear Evolution Equations by Systematic Searches for Lie Bäcklund Symmetries
  • III Spectral Methods and Related Topics, C-Integrable Systems
  • Inverse Problems of Spectral Analysis and the Integration of Nonlinear Equations
  • The Inverse Scattering Transform for the Elliptic Sinh-Gordon Equation
  • Reflection Coefficients and Poles
  • A N × N Zakharov-Shabat System with a Quadratic Spectral Parameter
  • On Integration of the Korteweg-de Vries Equation with a Self-consistent Source
  • On the Initial Value Problem of the Third Painlevé Equation
  • Nonlinear Equations for Soliton Eigenfunctions Are the IST Integrable Equations
  • The Geometry and Completeness of the Two-Phase Solutions of the Nonlinear Schrödinger Equations
  • N Double Pole Solution and Its Initial Value Problem for the Modified Korteweg-de Vries Equation
  • C-Integrable Generalization of a System of Nonlinear PDE’s Describing Nonresonant N-Wave Interactions
  • The Burgers Equation: Initial/Boundary Value Problems on the Semiline
  • IV Algebraic Approach to Integrability and Hamiltonian Theory
  • The Tangent Bundle for Multisolitons: Ideal Structure for Completely Integrable Systems
  • Action-Angle Variables and Asymptotic Data
  • The Action-Angle Transformation for the Korteweg-de Vries Equation
  • Algorithms to Detect Complete Integrability in 1+1 Dimension
  • GN Manifolds, Yang-Baxter Equations and ILW Hierarchies
  • Integral and Discrete Evolution Equations: A Unified Approach
  • An Abstract Tri-Hamiltonian Lax Hierarchy
  • On Symplectic and Hamiltonian Differential Operators
  • On a Non-Standard Hamiltonian Description of NLEE
  • Energy Dependent Spectral Problems: Their Hamiltonian Structures, Miura Maps and Master Symmetries
  • Super Hamiltonian Operators and Lie Superalgebras
  • Higher (Non-isospectral) Symmetries of the Kadomtsev-Petviashvili Equations and the Virasoro Action on Riemann Surfaces
  • A Combinatorial Rule to Hirota’s Bilinear Equations
  • Liouville-Arnold Integrability for Scattering Under Cone Potentials
  • V Mappings, Cellular Automata and Solitons
  • Lattice Equations and Integrable Mappings
  • Recent Developments in Soliton Cellular Automata
  • Cubic Equation, Newton’s Method and Analytic Functions
  • Singularity of Differential Mappings and Stability of Solitons
  • VI Physical Applications
  • Action-Angle Variables in the Quantum Wess-Zumino-Witten Model
  • On the Derivation of Propagator and Bound State Equations and S-Matrix Elements for Composite States
  • Resonant Flow over Topography
  • Taxonomy of Ocean Stability Conditions
  • Kinetic Equations and Soliton Diffusion in Low-Dimensional Magnets
  • On Einstein’s Equations with Two Commuting Killing Vectors
  • List of Participants
  • Index of Contributors.

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