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1 The general principles.- 2 Solitary waves and solitons: abstract theory.- 3 The nonlinear Schr?dinger equation.- 4 The nonlinear Klein-Gordon equation.- 5 The Nonlinear Klein-Gordon-Maxwell equations.- 6 The nonlinear Schr?dinger-Maxwell equations.- 7 The nonlinear beam equation.-... Read Full Overview

The book analyzes the existence of solitons, namely of finite energy solutions of field equations which exhibit stability properties. The book is divided in two parts. In the first part, the authors give an abstract definition of solitary wave and soliton and we develop an abstract... Read Full Overview

1 The general principles.- 2 Solitary waves and solitons: abstract theory.- 3 The nonlinear Schr?dinger equation.- 4 The nonlinear Klein-Gordon equation.- 5 The Nonlinear Klein-Gordon-Maxwell equations.- 6 The nonlinear Schr?dinger-Maxwell equations.- 7 The nonlinear beam equation.-... Read Full Overview