Main description:

In the past three decades there has been enormous progress
in identifying the essential role that nonlinearity plays
in physical systems, including supporting soliton-like
solutions and self-trapped sxcitations such as polarons.
during the same period, similarly impressive progress has
occurred in understanding the effects of disorder in linear
quantum problems, especially regarding Anderson localization
arising from impurities, random spatial structures,
stochastic applied fields, and so forth.
These striking consequences of disorder, noise and
nonlinearity frequently occur together in physical systems.
Yet there have been only limited attempts to develop
systematic techniques which can include all of these
ingredients, which may reinforce, complement or frustrate
each other. This book contains a range of articles which
provide important steps toward the goal of systematic
understanding and classification of phenomenology.
Experts from Australia, Europe, Japan, USA, and the USSR
describe both mathematical and numerical techniques -
especially from soliton and statistical physics disciplines
- and applicaations to a number of important physical
systems and devices, including optical and electronic
transmission lines, liquid crystals, biophysics and
magnetism.

Contents:

I Mathematical and Statistical Aspects.- Linear Chaos.- Second-Order Perturbations for Solitons.- Deformation of Solitons in Random Media.- Nonlinear Wave Propagation Through Disordered Media.- Nonlinearity and Disorder in the Statistical Mechanics of Integrable Systems.- Classical and Quantum Mechanical Analysis of Order and Chaos in the Discrete Self-Trapping Equation.- The Nonlinear Schroedinger Equation on a Disordered Chain.- Dynamics of Sine-Gordon Soliton Interactions with Impurities.- Chaotic Dynamics of Nonlinear Schroedinger Soliton Interaction with an Oscillating Impurity.- Modulated Dark Soliton: Features of Creation and Propagation.- Dynamics of a Stochastically Perturbed o4 Model.- On the Threshold of KdV Soliton Production.- One-Dimensional Localization and Wave Propagation in Linear and Nonlinear Media.- Annihilation of Topological Chiral Solitons.- On Some Probabilistic Problems in the Theory of Quadratic Operators.- Superexponential Damping of Mean Field Propagating in Randomly Inhomogeneous Medium with Anomalously Large-Scale Nonuniformities.- II Physical Applications.- Nonlinearity, Disorder, the Spread of Neolithic Farming, and the Origin of the Indo-European Languages.- Role of Disorder on the Dynamics of a Nonlinear Model for DNA Thermal Denaturation.- Nonlinear Dynamics in a Double Chain Model of DNA.- Energy Transfer in ?-Helical Proteins by Fermi Resonance.- Chaotic Dynamics of Fluxons in Large-Area Josephson Junctions.- Soliton Dynamics in Tunnel-Coupled Fibers with Variable Coupling.- Instability of Solitons and Nonlinear Waves in Liquid Crystals.- Phonons in Disordered Anharmonic Solids.- Two-Sublattice Solitons in Hydrogen-Bonded Chains with Dynamical Disorder.- Phase Transition in a Kink and Dynamical Structure Factor of Quasi-One-Dimensional Antiferromagnets.- Layer Disordering and Optical Properties of a-Si/SiO2 Superlattices.- Modulational Polarization Instabilities and Disorder in Birefringent Optical Fibers.- Pattern Formation in Nonlinear Physical Systems with Characteristic Electric Properties.- Index of Contributors.