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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...

For anyone looking to understand photonic crystals, this systematic, rigorous, and pedagogical introduction is a must. Here you ll find intuitive analytical and semi-analytical models applied to complex and practically relevant photonic crystal structures. You will also be shown how to use various analytical methods borrowed from quantum mechanics, such as perturbation theory, asymptotic analysis, and group theory, to investigate many of the limiting properties of photonic crystals which are otherwise difficult to rationalize using only numerical simulations. An introductory review of...