A Dynamical Perspective on the ɸ4 Model

Chapter 1 Historical Overview of the $$\phi ^4$$ Model

Chapter 2 Some Recent Developments on Kink Collisions and Related Topics

Chapter 3 Collective Coordinate Methods and Their Applicability to $$\phi ^4$$ Models

Chapter 4 Mathematical Analysis of Fractal Kink-Antikink Collisions in the $$\phi ^4$$ Model

Chapter 5 Stochastic Dynamics of $$\phi ^4$$ Kinks: Numerics and Analysis

Chapter 6 Discrete Variants of the $$\phi ^4$$ Model: Exceptional Discretizations, Conservation Laws and Related Topics

Chapter 7 Discrete Breathers in $$\phi ^4$$ and Related Models

Chapter 8 $$\phi ^{4}$$ Continuum Breathers: Forty Years After

Chapter 10 $$\phi ^4$$ Solitary Waves in a Parabolic Potential: Existence, Stability, and Collisional Dynamics

Chapter 11 The $$\phi ^4$$ Model in Higher Dimensions

Chapter 12 Higher-Order Field Theories: $$\phi ^6$$ , $$\phi ^8$$ and Beyond

Chapter 13 Effects of Discrete Breathers on Thermal Transport in the $$\phi ^4$$ Lattice