Title Schr??dinger Equations in Nonlinear Systems Author(s) Liu, Wu-Ming;Kengne, Emmanuel Publication Singapore, Springer Singapore, 2019. Description XVI, 569 p. 251 illus., 201 illus. in color : online resource Abstract Note 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 ISBN,Price 9789811365812 Keyword(s) 1. Applications of Nonlinear Dynamics and Chaos Theory 2. CONDENSED MATTER 3. CONDENSED MATTER PHYSICS 4. EBOOK 5. EBOOK - SPRINGER 6. Mathematical Methods in Physics 7. MATHEMATICAL PHYSICS 8. PHYSICS 9. STATISTICAL PHYSICS Item Type eBook Multi-Media Links Please Click here for eBook Circulation Data Accession#   Call# Status Issued To Return Due On Physical Location I08576     On Shelf