Symmetries and Nonlinear Phenomena

The Table of Contents for the full book PDF is as follows:

• Preface

• Introduction

• On the Time Evolution Equations of Spin Systems and Their Continuum Limit

• Conservation Laws for Integrable Systems

• Computer Algorithms for the Detection of Completely Integrable Quantum Spin Chains

• Hamiltonian Structure and Stability Analysis

• An Introduction to the Equivalence Problem of Elie Cartan Illustrated by Examples

• Integrable Systems and Water Waves. An Example of Symmetry Analysis Applied to a Physical Problem

• The Geometry of Soliton Equations

• Mechanisms for Variable Separation in Partial Differential Equations and their Relationship to Group Theory

• Recursion Operators and Hamiltonian Systems

• Positive Periodic Solutions of a Nonlinear Parabolic Eigenvalue Problem

• Physical Applications of Reciprocal Transformations

• An Unusual Realization of a Symmetry Group Acting on a Nonlinear Differential Equation

• Multidimensional Equations in Differential Geometry

• Supersymmetries in Quantum Mechanics—An Overview

• Symmetries and Berry Connections

• Kac-Moody-Virasoro Symmetries of Integrable Nonlinear Partial Differential Equations

• Nonlinearity in Aberration Optics

• The Generalized Hammerstein Integral Operators on Hilbert Spaces

• Subject Index