Theory Of Nonlinear Lattices Nonlinear Lattices

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Theory Of Nonlinear Lattices

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Author : Morikazu Toda
language : en
Publisher: Springer
Release Date : 2011-12-28

Theory Of Nonlinear Lattices written by Morikazu Toda and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011-12-28 with Science categories.

Soliton theory, the theory of nonlinear waves in lattices composed of particles interacting by nonlinear forces, is treated rigorously in this book. The presentation is coherent and self-contained, starting with pioneering work and extending to the most recent advances in the field. Special attention is focused on exact methods of solution of nonlinear problems and on the exact mathematical treatment of nonlinear lattice vibrations. This new edition updates the material to take account of important new advances.

Theory Of Nonlinear Lattices

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Author : Morikazu Toda
language : en
Publisher: Springer
Release Date : 1981

Theory Of Nonlinear Lattices written by Morikazu Toda and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 1981 with Science categories.

This book deals with waves in lattices composed of particles interacting by nonlinear forces. Since motion in a lattice with exponential interac tion between nearest neighbors can be analyzed rigorously, it is treated as the central subject to be discussed. From the idea that the fundamentals of the mathematical methods for nonlinear lattices would be elucidated by rigorous results, I was led in 1966 to the lattice with exponential interaction, which has since proved to be a subject of intensive investigation by many researchers. Therefore I have tried to describe the development of the study of this lattice. The presentation is intended to be coherent and self-contained. Chapter 1 starts with a rather historical exposition, and deals with the motion in the lattices and in continuous systems in general. Funda mental concepts necessary for later chapters, including the partic1elike behavior of stable pulses (solitons), the most characteristic entities of the nonlinear waves, are introduced. The dual transformation, which exchanges the roles of particles and interaction, is described for devel opment in the next chapter.

Theory Of Nonlinear Lattices

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Author : Morikazu Toda
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06

Theory Of Nonlinear Lattices written by Morikazu Toda and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-06 with Science categories.

Soliton theory, the theory of nonlinear waves in lattices composed of particles interacting by nonlinear forces, is treated rigorously in this book. The presentation is coherent and self-contained, starting with pioneering work and extending to the most recent advances in the field. Special attention is focused on exact methods of solution of nonlinear problems and on the exact mathematical treatment of nonlinear lattice vibrations. This new edition updates the material to take account of important new advances.

Theory Of Nonlinear Lattices Nonlinear Lattices

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Author : Morikazu Toda
language : en
Publisher:
Release Date : 1981

Theory Of Nonlinear Lattices Nonlinear Lattices written by Morikazu Toda and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1981 with Lattice dynamics categories.

Non Linear Lattice

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Author : Ignazio Licata and Sauro Succi
language : en
Publisher: MDPI
Release Date : 2018-07-17

Non Linear Lattice written by Ignazio Licata and Sauro Succi and has been published by MDPI this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018-07-17 with Science categories.

This book is a printed edition of the Special Issue "Non-Linear Lattice" that was published in Entropy

Perspectives Of Nonlinear Dynamics Volume 2

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Author : E. Atlee Jackson
language : en
Publisher: CUP Archive
Release Date : 1989

Perspectives Of Nonlinear Dynamics Volume 2 written by E. Atlee Jackson and has been published by CUP Archive this book supported file pdf, txt, epub, kindle and other format this book has been release on 1989 with Mathematics categories.

The dynamics of physical, chemical, biological or fluid systems generally must be described by nonlinear models, whose detailed mathematical solutions are not obtainable. To understand some aspects of such dynamics, various complementary methods and viewpoints are of crucial importance. The presentation and style is intended to stimulate the reader's imagination to apply these methods to a host of problems and situations.

Nonlinear Waves Hamiltonian Systems

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Author : Ricardo Carretero-González
language : en
Publisher: Oxford University Press
Release Date : 2024-11-05

Nonlinear Waves Hamiltonian Systems written by Ricardo Carretero-González and has been published by Oxford University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2024-11-05 with Mathematics categories.

Nonlinear waves are of significant scientific interest across many diverse contexts, ranging from mathematics and physics to engineering, biosciences, chemistry, and finance. The study of nonlinear waves is relevant to Bose-Einstein condensates, the interaction of electromagnetic waves with matter, optical fibers and waveguides, acoustics, water waves, atmospheric and planetary scales, and even galaxy formation. The aim of this book is to provide a self-contained introduction to the continuously developing field of nonlinear waves, that offers the background, the basic ideas, and mathematical, as well as computational methods, while also presenting an overview of associated physical applications. Originated from the authors' own research activity in the field for almost three decades and shaped over many years of teaching on relevant courses, the primary purpose of this book is to serve as a textbook. However, the selection and exposition of the material will be useful to anyone who is curious to explore the fascinating world of nonlinear waves.

Perspectives Of Nonlinear Dynamics Volume 1

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Author : E. Atlee Jackson
language : en
Publisher: CUP Archive
Release Date : 1989

Perspectives Of Nonlinear Dynamics Volume 1 written by E. Atlee Jackson and has been published by CUP Archive this book supported file pdf, txt, epub, kindle and other format this book has been release on 1989 with Mathematics categories.

The dynamics of physical, chemical, biological, or fluid systems generally must be described by nonlinear models, whose detailed mathematical solutions are not obtainable. To understand some aspects of such dynamics, various complementary methods and viewpoints are of crucial importance. In this book the perspectives generated by analytical, topological and computational methods, and interplays between them, are developed in a variety of contexts. This book is a comprehensive introduction to this field, suited to a broad readership, and reflecting a wide range of applications. Some of the concepts considered are: topological equivalence; embeddings; dimensions and fractals; Poincaré maps and map-dynamics; empirical computational sciences vis-á-vis mathematics; Ulam's synergetics; Turing's instability and dissipative structures; chaos; dynamic entropies; Lorenz and Rossler models; predator-prey and replicator models; FPU and KAM phenomena; solitons and nonsolitons; coupled maps and pattern dynamics; cellular automata.

Introduction To The Mathematical Physics Of Nonlinear Waves

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Author : Minoru Fujimoto
language : zh-CN
Publisher:
Release Date : 2021

Introduction To The Mathematical Physics Of Nonlinear Waves written by Minoru Fujimoto and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2021 with Mathematical physics categories.

Jacobi Operators And Completely Integrable Nonlinear Lattices

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Author : Gerald Teschl
language : en
Publisher: American Mathematical Soc.
Release Date : 2000

Jacobi Operators And Completely Integrable Nonlinear Lattices written by Gerald Teschl and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 2000 with Mathematics categories.

This volume serves as an introduction and reference source on spectral and inverse theory of Jacobi operators and applications of these theories to the Toda and Kac-van Moerbeke hierarchy.