Name: Schrödinger Equations in Nonlinear Systems (en Inglés)
Price: 692586.00 COP
Availability: InStock
Author: Liu, Wu-Ming ; Kengne, Emmanuel
ISBN: 9789811365836

portada Schrödinger Equations in Nonlinear Systems (en Inglés)

Formato

Libro Físico

Autor

Wu-Ming Liu

Emmanuel Kengne

Editorial

Springer

Idioma

Inglés

N° páginas

569

Encuadernación

Tapa Blanda

Dimensiones

23.4 x 15.6 x 3.0 cm

Peso

0.81 kg.

ISBN13

9789811365836

Categorías

Teoría del caos
Fïsica de la materia condensada
Física matemática

Schrödinger Equations in Nonlinear Systems (en Inglés)

Wu-Ming Liu (Autor) · Emmanuel Kengne (Autor) · Springer · Tapa Blanda

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Reseña del libro "Schrödinger Equations in Nonlinear Systems (en Inglés)"

This book explores the diverse types of Schrödinger 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 Schrödinger (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 Schrödinger 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.