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Schrdinger Equations in Nonlinear Systems by Emmanuel Kengne (English) Hardcover

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Item specifics

Condition
Brand New: A new, unread, unused book in perfect condition with no missing or damaged pages. See all condition definitionsopens in a new window or tab
ISBN-13
9789811365805
Type
NA
Publication Name
NA
ISBN
9789811365805
Publication Year
2019
Format
Hardcover
Language
English
Book Title
Schrödinger Equations in Nonlinear Systems
Author
Emmanuel Kengne, Wu-Ming Liu
Item Length
9.3in
Publisher
Springer
Genre
Science
Topic
Physics / Condensed Matter, Physics / Optics & Light, Physics / Mathematical & Computational
Item Width
6.1in
Item Weight
36.6 Oz
Number of Pages
Xvi, 569 Pages

About this product

Product Information

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.

Product Identifiers

Publisher
Springer
ISBN-10
9811365806
ISBN-13
9789811365805
eBay Product ID (ePID)
18038711962

Product Key Features

Book Title
Schrödinger Equations in Nonlinear Systems
Author
Emmanuel Kengne, Wu-Ming Liu
Format
Hardcover
Language
English
Topic
Physics / Condensed Matter, Physics / Optics & Light, Physics / Mathematical & Computational
Publication Year
2019
Genre
Science
Number of Pages
Xvi, 569 Pages

Dimensions

Item Length
9.3in
Item Width
6.1in
Item Weight
36.6 Oz

Additional Product Features

Number of Volumes
1 Vol.
Lc Classification Number
Qc19.2-20.85
Table of Content
Overview of nonlinear Schrödinger equations.- Well-posedness of nonlocal boundary value problems and Schrödinger equations.- Nonlinear Schrödinger equations of single transmission lines.- Derivative nonlinear Schrödinger equations for single transmission lines.- NLS equations for the system of the nonlinear transmission line coupled by capacitor C.- Inhomogeneous nonlinear Schrödinger equations of Bose-Einstein condensates with two-body interactions.
Copyright Date
2019
Illustrated
Yes

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Very informative book..very helpful, thank you.