Intro; Preface; Acknowledgements; Contents; 1 Overview of Nonlinear Schrödinger Equations; 1.1 One-dimensional Cubic Nonlinear …; 1.2 Derivative Nonlinear Schrödinger Equation; 1.3 Inhomogeneous Nonlinear Schrödinger Equations (Gross-Pitaevskii Equations); 1.4 Multicomponent Nonlinear Schrödinger Equation; References; 2 Well-Posedness of Nonlocal Boundary-Value Problems and Schrödinger Equations; 2.1 Boundary-Value Problem from the Viewpoint of the General Theory of Partial Differential Equations; 2.2 Perturbation of a Two-Point Boundary-Value Problem

2.2.1 Perturbation of Ill-Posed Boundary-Value Problems by an Integral Term in the Boundary Condition2.2.2 Perturbation of Well-Posed Boundary-Value Problems by Integral Terms in the Boundary Condition; 2.3 Well-Posedness of a Two-Point Boundary-Value Problem in a Layer for a System of Evolution Equations; 2.4 Boundary-Value Problem for Factorized Operators with Dirichlet-Type Boundary Conditions; 2.4.1 Formulation of Problem and Notations; 2.4.2 Uniqueness of Solutions to Problem (2.22)-(2.24); 2.4.3 Existence of Solutions of Problem (2.22)-(2.24)

3.4 Interacting Signal Packets in the Lossless Network of Fig.3.1 in Absence of Second-Neighbor Interactions3.4.1 Coupled NLS Equations for the Lossless Discrete Nonlinear Electrical Network of Fig.3.1 for L3=infty; 3.4.2 Modulational Instability; 3.4.3 Analytical Study of Matter-Wave Solitons in the Network; 3.4.4 Bright-Kink and Kink-Bright Solitary Wave Solutions; References; 4 Derivative Nonlinear Schrödinger Equations for Single Transmission Lines; 4.1 Generation of Nonlinear Modulated Waves in the Lossless Network of Fig. 3.1