The Discrete Nonlinear Schrödinger Equation

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The book provides a comprehensive overview of the Discrete Nonlinear Schrödinger equation, summarizing two decades of research. It introduces the model and its derivation, explores the existence and stability of nonlinear structures across one to three spatial dimensions, and examines defocusing nonlinearities and modulational instabilities. Additionally, it extends the discussion to multi-component lattices and includes a final chapter with contributions from various experts, highlighting recent topics of interest in the field.