Schrödinger Equations in Nonlinear Systems

• Main Authors: Liu, Wu-Ming (Author, http://id.loc.gov/vocabulary/relators/aut), Kengne, Emmanuel (http://id.loc.gov/vocabulary/relators/aut)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: Singapore : Springer Singapore : Imprint: Springer, 2019.
• Edition: 1st ed. 2019.
• Subjects: Physics.; Mathematical physics.; Condensed matter.; Statistical physics.; Mathematical Methods in Physics.; Mathematical Physics.; Condensed Matter Physics.; Applications of Nonlinear Dynamics and Chaos Theory.

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 ph...

Table of Contents:

• 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 C₂
• Inhomogeneous nonlinear Schrödinger equations of Bose-Einstein condensates with two-body interactions.