Panayotis G. Kevrekidis Pořadí knih

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.

This book, written by experts in the fields of atomic physics and nonlinear science, covers the important developments in a special aspect of Bose-Einstein condensation, namely nonlinear phenomena in condensates. Topics covered include bright, dark, gap and multidimensional solitons; vortices; vortex lattices; optical lattices; multicomponent condensates; mathematical methods/rigorous results; and the beyond-the-mean-field approach.