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Theory Of Nonlinear Lattices Nonlinear Lattices
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Book Synopsis Theory of Nonlinear Lattices by : Morikazu Toda
Download or read book Theory of Nonlinear Lattices written by Morikazu Toda and published by Springer. This book was released on 2011-12-28 with total page 225 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Book Synopsis Theory of Nonlinear Lattices by : Morikazu Toda
Download or read book Theory of Nonlinear Lattices written by Morikazu Toda and published by Springer. This book was released on 1981 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Book Synopsis Theory of Nonlinear Lattices Nonlinear Lattices by : Morikazu Toda
Download or read book Theory of Nonlinear Lattices Nonlinear Lattices written by Morikazu Toda and published by . This book was released on 1981 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Theory of Nonlinear Lattices by : Morikazu Toda
Download or read book Theory of Nonlinear Lattices written by Morikazu Toda and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 233 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Book Synopsis Theory of Nonlinear Lattices (Volume 20 of Springer Series in Solid-State Sciences). by : M. Toda
Download or read book Theory of Nonlinear Lattices (Volume 20 of Springer Series in Solid-State Sciences). written by M. Toda and published by . This book was released on 1981 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Jacobi Operators and Completely Integrable Nonlinear Lattices by : Gerald Teschl
Download or read book Jacobi Operators and Completely Integrable Nonlinear Lattices written by Gerald Teschl and published by American Mathematical Soc.. This book was released on 2000 with total page 373 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Book Synopsis Nonlinearity and Disorder: Theory and Applications by : Fatkhulla Abdullaev
Download or read book Nonlinearity and Disorder: Theory and Applications written by Fatkhulla Abdullaev and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 444 pages. Available in PDF, EPUB and Kindle. Book excerpt: Proceedings of the NATO Advanced Research Workshop, Tashkent, Uzbekistan, 2-6 October 2001
Book Synopsis Non-Linear Lattice by : Ignazio Licata and Sauro Succi
Download or read book Non-Linear Lattice written by Ignazio Licata and Sauro Succi and published by MDPI. This book was released on 2018-07-17 with total page 291 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is a printed edition of the Special Issue "Non-Linear Lattice" that was published in Entropy
Book Synopsis Theory and Applications of Coupled Map Lattices by : K. Kaneko
Download or read book Theory and Applications of Coupled Map Lattices written by K. Kaneko and published by . This book was released on 1993-04-13 with total page 208 pages. Available in PDF, EPUB and Kindle. Book excerpt: The technique of the coupled map lattice (CML) is a rapidly developing field in nonlinear dynamics at present. This book gives a fully illustrative overview of current research in the field. A CML is a dynamical system in which there is some interaction ('coupled') between continuous state elements, which evolve in discrete time ('map') and are distributed on a discrete space ('lattice'). This book investigates both the theoretical aspects and applications of CMLs to spatially extended systems in nonlinear dynamical systems.
Book Synopsis Dynamics of Lattice Materials by : A. Srikantha Phani
Download or read book Dynamics of Lattice Materials written by A. Srikantha Phani and published by John Wiley & Sons. This book was released on 2017-09-25 with total page 312 pages. Available in PDF, EPUB and Kindle. Book excerpt: Provides a comprehensive introduction to the dynamic response of lattice materials, covering the fundamental theory and applications in engineering practice Offers comprehensive treatment of dynamics of lattice materials and periodic materials in general, including phononic crystals and elastic metamaterials Provides an in depth introduction to elastostatics and elastodynamics of lattice materials Covers advanced topics such as damping, nonlinearity, instability, impact and nanoscale systems Introduces contemporary concepts including pentamodes, local resonance and inertial amplification Includes chapters on fast computation and design optimization tools Topics are introduced using simple systems and generalized to more complex structures with a focus on dispersion characteristics
Book Synopsis Localization in Nonlinear Lattices by : Sergej Flach
Download or read book Localization in Nonlinear Lattices written by Sergej Flach and published by . This book was released on 1998 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Nonlinear Waves: Classical and Quantum Aspects by : Fatkhulla Abdullaev
Download or read book Nonlinear Waves: Classical and Quantum Aspects written by Fatkhulla Abdullaev and published by Springer. This book was released on 2009-09-03 with total page 556 pages. Available in PDF, EPUB and Kindle. Book excerpt: Leading scientists discuss the most recent physical and experimental results in the physics of Bose-Einstein condensate theory, the theory of nonlinear lattices (including quantum and nonlinear lattices), and nonlinear optics and photonics. Classical and quantum aspects of the dynamics of nonlinear waves are considered. The contributions focus on the Gross-Pitaevskii equation and on the quantum nonlinear Schrödinger equation. Recent experimental results on atomic condensates and hydrogen bonded systems are reviewed. Particular attention is given to nonlinear matter waves in periodic potential.
Book Synopsis Localization in Nonlinear Lattices Without Disorder by : Sergej Flach
Download or read book Localization in Nonlinear Lattices Without Disorder written by Sergej Flach and published by . This book was released on 1998 with total page 132 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Nonlinear Lattice Statistical Mechanics by : Zene Horii
Download or read book Nonlinear Lattice Statistical Mechanics written by Zene Horii and published by Createspace Independent Pub. This book was released on 2007-03-13 with total page 276 pages. Available in PDF, EPUB and Kindle. Book excerpt: Statistical mechanics involves two universes at linear and nonlinear regimes. One is the Liouville universe at the linear range. The other is the Toda universe at the nonlinear range. For the universes, the above basic concept is well satisfied. Randon states in the Liouville universe, where degrees of freedom in kinetics are extremely high, become, if the exponential interactive potential energy between two nearest neighbor particles are introduced, a deterministic system in the Toda universe, whcih is subordinated to the nonlinear wave theory. The degrees of freedom in the motions are reduced by the constraints due to the potential energy.
Author :Fatkhulla Abdullaev Publisher :Springer Science & Business Media ISBN 13 :9781402021886 Total Pages :588 pages Book Rating :4.0/5 (218 download)
Book Synopsis Nonlinear Waves: Classical and Quantum Aspects by : Fatkhulla Abdullaev
Download or read book Nonlinear Waves: Classical and Quantum Aspects written by Fatkhulla Abdullaev and published by Springer Science & Business Media. This book was released on 2004-07-20 with total page 588 pages. Available in PDF, EPUB and Kindle. Book excerpt: Leading scientists discuss the most recent physical and experimental results in the physics of Bose-Einstein condensate theory, the theory of nonlinear lattices (including quantum and nonlinear lattices), and nonlinear optics and photonics. Classical and quantum aspects of the dynamics of nonlinear waves are considered. The contributions focus on the Gross-Pitaevskii equation and on the quantum nonlinear Schrödinger equation. Recent experimental results on atomic condensates and hydrogen bonded systems are reviewed. Particular attention is given to nonlinear matter waves in periodic potential.
Book Synopsis Nonlinear Periodic Waves and Their Modulations by : Anatoli? Mikha?lovich Kamchatnov
Download or read book Nonlinear Periodic Waves and Their Modulations written by Anatoli? Mikha?lovich Kamchatnov and published by World Scientific. This book was released on 2000 with total page 399 pages. Available in PDF, EPUB and Kindle. Book excerpt: Although the mathematical theory of nonlinear waves and solitons has made great progress, its applications to concrete physical problems are rather poor, especially when compared with the classical theory of linear dispersive waves and nonlinear fluid motion. The Whitham method, which describes the combining action of the dispersive and nonlinear effects as modulations of periodic waves, is not widely used by applied mathematicians and physicists, though it provides a direct and natural way to treat various problems in nonlinear wave theory. Therefore it is topical to describe recent developments of the Whitham theory in a clear and simple form suitable for applications in various branches of physics.This book develops the techniques of the theory of nonlinear periodic waves at elementary level and in great pedagogical detail. It provides an introduction to a Whitham's theory of modulation in a form suitable for applications. The exposition is based on a thorough analysis of representative examples taken from fluid mechanics, nonlinear optics and plasma physics rather than on the formulation and study of a mathematical theory. Much attention is paid to physical motivations of the mathematical methods developed in the book. The main applications considered include the theory of collisionless shock waves in dispersive systems and the nonlinear theory of soliton formation in modulationally unstable systems. Exercises are provided to amplify the discussion of important topics such as singular perturbation theory, Riemann invariants, the finite gap integration method, and Whitham equations and their solutions.
Book Synopsis Wave Transmission in Nonlinear Lattices by : Dirk Henning (fizyka)
Download or read book Wave Transmission in Nonlinear Lattices written by Dirk Henning (fizyka) and published by . This book was released on 1999 with total page 100 pages. Available in PDF, EPUB and Kindle. Book excerpt:
