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Focusing on the Discrete Nonlinear Schrödinger equation, this book offers a comprehensive overview of two decades of research in the field. It systematically derives the model and explores its applications, analyzing the existence and stability of nonlinear structures across multiple spatial dimensions. Key topics include defocusing nonlinearities, modulational instabilities, and multi-component lattices. The final chapter presents insights from various experts, highlighting recent areas of interest through concise reviews.
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The Discrete Nonlinear Schrödinger Equation, Panayotis G. Kevrekidis
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- 2009
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