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

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

Hardcover

Series: Nonlinear Systems and Complexity, Book 26

General MathematicsPhysics

ISBN10: 303011838X
ISBN13: 9783030118389
Publisher: Springer Nature
Published: Mar 6 2019
Pages: 311
Weight: 1.42
Height: 0.75 Width: 6.14 Depth: 9.21
Language: English

This book presents a careful selection of the most important developments of the \phi 4 model, offering a judicious summary of this model with a view to future prospects and the challenges ahead.

Over the past four decades, the \phi 4 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 \phi 4 (and \phi 6, \phi 8, \phi 12 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.

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Physics