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Written by the preeminent researcher in this field, Multidimensional Solitons provides a comprehensive survey of self-trapped modes in two- and three-dimensional nonlinear media. It reviews studies covering fundamentals and recently reported theoretical and experimental results in diverse areas, such as nonlinear optics and Bose-Einstein condensates. This vital work explores fundamental solitons, topologically organized ones, such as solitary vortices and hopfions, and a broad spectrum of other soliton species, including those in lattice and dissipative media. Multidimensional Solitons: Offers a general introduction to the modern “soliton science” Provides context on the fundamentals of solitons in nonlinear optics and Bose-Einstein condensates Instructs how the stabilization of two- and three-dimensional solitons is possible, which is a crucially important problem for multidimensional setups Presents theoretical (analytical and numerical) and experimental results on optical and matter-wave solitons in diverse settings Researchers – both theorists and experimentalists – working in optics and photonics, low-temperature and atomic physics, mathematical physics, and applied mathematics will all find this an instrumental reference. Graduate students in these disciplines will also find it as a valuable resource. Preface Introduction Basic Theoretical Models The Use of Higher-Order Nonlinearities: Theory The Use of Higher-Order Nonlinearities: Experiments in Optical Media Linear Trapping Potentials Nonlinear Trapping Potentials and Nonlinearity Management Spatially Periodic Potentials (Lattices): Theory Spatially Periodic Potentials (Lattices): Experiments Stabilization of Multidimensional Solitons by Spin–Orbit Coupling (SOC) Emulation of the Spin—Orbit Coupling (SOC) in Optical Systems Quantum Droplets (QDs): Theory Experiments: Quantum Droplets (QDs) in the BEC with Contact and Dipole–Dipole Interactions (DDIs) Multidimensional Solitons in Nonlocal Media Multidimensional Dissipative Solitons and Solitary Vortices Conclusion Index