A Dynamical Perspective on the ɸ4 Model Past, Present and Future /

• Corporate Author: SpringerLink (Online service)
• Other Authors: Kevrekidis, Panayotis G. (Editor, http://id.loc.gov/vocabulary/relators/edt), Cuevas-Maraver, Jesús (Editor, http://id.loc.gov/vocabulary/relators/edt)
• Format: Electronic eBook
• Language: English
• Published: Cham : Springer International Publishing : Imprint: Springer, 2019.
• Edition: 1st ed. 2019.
• Series: Nonlinear Systems and Complexity, 26
• Subjects: Physics.; Mathematical physics.; Solid state physics.; Engineering mathematics.; Statistical physics.; Mathematical Methods in Physics.; Mathematical Applications in the Physical Sciences.; Solid State Physics.; Engineering Mathematics.; Statistical Physics and Dynamical Systems.
• Physical Description: XXI, 311 p. 116 illus., 84 illus. in color. online resource.
• ISBN: 9783030118396
• ISSN: 2195-9994 ;
• DOI: 10.1007/978-3-030-11839-6

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. .