Multidimensional Solitons / Boris A. Malomed

Format:

Book

Author/Creator:

Malomed, Boris A., author.

Language:

English

Subjects (All):

Physics.

Physical Description:

1 online resource (406 pages)

Place of Publication:

Melville, New York AIP Publishing 2022.

System Details:

data file

Summary:

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.

Contents:

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.

Other Format:

Printed edition

ISBN:

9780735425095

9780735425125

9780735425101

Access Restriction:

Restricted for use by site license.