A Dynamical Perspective on the ɸ4 Model [E-Book] : Past, Present and Future / edited by Panayotis G. Kevrekidis, Jesús Cuevas-Maraver.
Cuevas-Maraver, Jesús, (editor)
Kevrekidis, Panayotis G., (editor)
1st edition 2019.
Cham : Springer, 2019
XXI, 311 pages 116 illustrations, 84 illustrations in color (online resource)
Nonlinear Systems and Complexity ; 26
Full Text
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. .