A Dynamical Perspective on the ɸ4 Model

This book presents a careful selection of the most important developments of the ɸ⁴ model, offering a judicious summary of this model with a view to future prospects and the challenges ahead. 

Over the past four decades, the ɸ⁴ model has been the basis for a broad array of developments in the physics and mathematics of nonlinear waves. From kinks to breathers, from continuum media to discrete lattices, from collisions of solitary waves to spectral properties, and from deterministic to stochastic models of ɸ⁴ (and ɸ⁶ ,ɸ⁸ ,ɸ¹² variants more recently), this dynamical model has served as an excellent test bed for formulating and testing the ideas of nonlinear science and solitary waves.