Multidimensional Solitons

Abstract

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 condensatesInstructs how the stabilization of two- and three-dimensional solitons is possible, which is a crucially important problem for multidimensional setupsPresents 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.