Nonlinear Waves in Integrable and Non-integrable Systems presents cutting-edge developments in the theory and experimental study of nonlinear waves. Its comprehensive coverage of analytical and numerical methods for non-integrable systems is the first of its kind. The book also discusses in great depth a wide range of analytical methods for integrable equations and comprehensively describes efficient numerical methods for all major aspects of nonlinear wave computations. It contains a chapter on nonlinear waves in periodic media, where many novel phenomena due to bandgap guidance are revealed...