Wu-Ming Liu; Emmanuel Kengne Schr?dinger Equations in Nonlinear Systems 9789811365805

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Автор: Wu-Ming Liu; Emmanuel Kengne
Название: Schr?dinger Equations in Nonlinear Systems
ISBN: 9789811365805
Издательство: Springer
Классификация:

Физика конденсированных сред (физика веществ в жидком и твёрдом состоянии)

Оптика

Математическая физика

ISBN-10: 9811365806
Обложка/Формат: Hardcover
Страницы: 569
Вес: 1.04 кг.
Дата издания: 2019
Язык: English
Издание: 1st ed. 2019
Иллюстрации: 201 illustrations, color; 50 illustrations, black and white; xvi, 569 p. 251 illus., 201 illus. in color.
Размер: 234 x 156 x 32
Читательская аудитория: Professional & vocational
Основная тема: Physics
Ссылка на Издательство: Link
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Поставляется из: Германии
Описание: This book explores the diverse types of Schr?dinger equations that appear in nonlinear systems in general, with a specific focus on nonlinear transmission networks and Bose–Einstein Condensates. In the context of nonlinear transmission networks, it employs various methods to rigorously model the phenomena of modulated matter-wave propagation in the network, leading to nonlinear Schr?dinger (NLS) equations. Modeling these phenomena is largely based on the reductive perturbation method, and the derived NLS equations are then used to methodically investigate the dynamics of matter-wave solitons in the network. In the context of Bose–Einstein condensates (BECs), the book analyzes the dynamical properties of NLS equations with the external potential of different types, which govern the dynamics of modulated matter-waves in BECs with either two-body interactions or both two- and three-body interatomic interactions. It also discusses the method of investigating both the well-posedness and the ill-posedness of the boundary problem for linear and nonlinear Schr?dinger equations and presents new results. Using simple examples, it then illustrates the results on the boundary problems. For both nonlinear transmission networks and Bose–Einstein condensates, the results obtained are supplemented by numerical calculations and presented as figures.
Дополнительное описание: Overview of nonlinear Schr?dinger equations.- Well-posedness of nonlocal boundary value problems and Schr?dinger equations.- Nonlinear Schr?dinger equations of single transmission lines.- Derivative nonlinear Schr?dinger equations for single transmission

Schr?dinger Equations in Nonlinear Systems, Wu-Ming Liu; Emmanuel Kengne