Non Linear Lattice
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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.
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
Nonlinear Waves In Integrable And Non Integrable Systems
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Author : Jianke Yang
language : en
Publisher: SIAM
Release Date : 2010-12-02
Nonlinear Waves In Integrable And Non Integrable Systems written by Jianke Yang and has been published by SIAM this book supported file pdf, txt, epub, kindle and other format this book has been release on 2010-12-02 with Science categories.
Nonlinear Waves in Integrable and Nonintegrable Systems presents cutting-edge developments in the theory and experiments of nonlinear waves. Its comprehensive coverage of analytical and numerical methods for nonintegrable systems is the first of its kind. This book is intended for researchers and graduate students working in applied mathematics and various physical subjects where nonlinear wave phenomena arise (such as nonlinear optics, Bose-Einstein condensates, and fluid dynamics).
Fluctuation Phenomena Disorder And Nonlinearity Proceedings Of The International Workshop
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Author : Luis Vazquez
language : en
Publisher: World Scientific
Release Date : 1995-05-04
Fluctuation Phenomena Disorder And Nonlinearity Proceedings Of The International Workshop written by Luis Vazquez and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 1995-05-04 with categories.
This book addresses the issues of nonlinearity and disorder. It covers mathematical and numerical techniques as well as applications of nonlinearity and disorder. The analysis of continuous and discrete systems is also shown.
The Nonlinear Schr Dinger Equation
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Author : Nalan Antar
language : en
Publisher: BoD – Books on Demand
Release Date : 2022-07-06
The Nonlinear Schr Dinger Equation written by Nalan Antar and has been published by BoD – Books on Demand this book supported file pdf, txt, epub, kindle and other format this book has been release on 2022-07-06 with Mathematics categories.
The nonlinear Schrödinger equation is a prototypical dispersive nonlinear partial differential equation that has been derived in many areas of physics and analyzed mathematically for many years. With this book, we aim to capture different perspectives of researchers on the nonlinear Schrödinger equation arising from theoretical, numerical, and experimental aspects. The eight chapters cover a variety of topics related to nonlinear optics, quantum mechanics, and physics. This book provides scientists, researchers, and engineers as well as graduate and post-graduate students working on or interested in the nonlinear Schrödinger equation with an in-depth discussion of the latest advances in nonlinear optics and quantum physics.
Nonlinear Problems In Future Particle Accelerators Proceedings Of The Workshop
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Author : Giorgio Turchetti
language : en
Publisher: World Scientific
Release Date : 1991-03-20
Nonlinear Problems In Future Particle Accelerators Proceedings Of The Workshop written by Giorgio Turchetti and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 1991-03-20 with categories.
This workshop is intended to review the projects of large future accelerators and to analyze the problems related to the nonlinearities of the magnetic lattice due to superconducting magnets.
Topics On The Nonlinear Dynamics And Acoustics Of Ordered Granular Media
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Author : Yuli Starosvetsky
language : en
Publisher: World Scientific
Release Date : 2017-03-17
Topics On The Nonlinear Dynamics And Acoustics Of Ordered Granular Media written by Yuli Starosvetsky and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017-03-17 with Science categories.
This research monograph provides a brief overview of the authors' research in the area of ordered granular media over the last decade. The exposition covers one-dimensional homogeneous and dimer chains in great detail incorporating novel analytical tools and experimental results supporting the analytical and numerical studies. The proposed analytical tools have since been successfully implemented in studying two-dimensional dimers, granular dimers on on-site perturbations, solitary waves in Toda lattices to name a few. The second part of the monograph dwells on weakly coupled homogeneous granular chains from analytical, numerical and experimental perspective exploring the interesting phenomenon of Landau-Zener tunneling in granular media. The final part of the monograph provides a brief introduction to locally resonant acoustic metamaterials incorporating internal rotators and the resulting energy channeling mechanism in unit-cells and in one- and two-dimensional lattices. The monograph provides a comprehensive overview of the research in this interesting domain. However, this exposition is not all exhaustive with regard to equally exciting research by other researchers across the globe, but we provide an exhaustive list of references for the interested readers to further explore in this direction.
The Nonlinear Universe
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Author : Alwyn C. Scott
language : en
Publisher: Springer Science & Business Media
Release Date : 2007-10-02
The Nonlinear Universe written by Alwyn C. Scott 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 2007-10-02 with Science categories.
Written in Alwyn Scott’s inimitable style, one that readers will find both lucid and accessible, this masterwork elucidates the explosion of activity in nonlinear science in recent decades. The book explains the wide-ranging implications of nonlinear phenomena for future developments in many areas of modern science, including mathematics, physics, engineering, chemistry, biology, and neuroscience. Arguably as important as quantum theory, modern nonlinear science is essential for understanding the scientific developments of the twenty-first century.
Nonlinear Waves In Elastic Crystals
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Author : Gérard A. Maugin
language : en
Publisher:
Release Date : 1999
Nonlinear Waves In Elastic Crystals written by Gérard A. Maugin and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1999 with Mathematics categories.
The mathematical modelling of changing structures in materials is of increasing importance to industry where applications of the theory are found in subjects as diverse as aerospace and medicine. This book deals with aspects of the nonlinear dynamics of deformable ordered solids (known as elastic crystals) where the nonlinear effects combine or compete with each other. Physical and mathematical models are discused and computational aspects are also included. Different models are considered - on discrete as well as continuum scales - applying heat, electricity, or magnetism to the crystal structure and these are analysed using the equations of rational mechanics. In this way the student is introduced to the important equations of nonlinear science that describe shock waves, solitons and chaos and also the non-exactly integrable systems or partial differential equations. A large number of problems and examples are included, many taken from recent research and involving both one-dimensional and two-dimensional problems as well as some coupled degress of freedom.
Nonlinear Waves And Solitons
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Author : M. Toda
language : en
Publisher: Springer Science & Business Media
Release Date : 1989-11-30
Nonlinear Waves And Solitons written by M. 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 1989-11-30 with Mathematics categories.
' it is certainly a beautiful presentation, very well adapted to teaching beginners. I am sure this book will be successful.' Inverse Problems, 1990