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Topics In Soliton Theory And Exactly Solvable Nonlinear Equations


Topics In Soliton Theory And Exactly Solvable Nonlinear Equations
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Topics In Soliton Theory And Exactly Solvable Nonlinear Equations Proceedings Of The Conference On Nonlinear Evolution Equations Solitons And The Inverse Scattering Transform


Topics In Soliton Theory And Exactly Solvable Nonlinear Equations Proceedings Of The Conference On Nonlinear Evolution Equations Solitons And The Inverse Scattering Transform
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Author : Mark J Ablowitz
language : en
Publisher: World Scientific
Release Date : 1987-06-01

Topics In Soliton Theory And Exactly Solvable Nonlinear Equations Proceedings Of The Conference On Nonlinear Evolution Equations Solitons And The Inverse Scattering Transform written by Mark J Ablowitz and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 1987-06-01 with categories.


The focus of this volume is to show how the various successful models of nuclear structure complement one another and can be realised as approximations, appropriate in different situations, to an underlying non-relativistic many-nucleon theory of nuclei.In common with the previous volume on Foundational Models, it starts with a broad survey of the relevant nuclear structure data and proceeds with two dominant themes. The first is to review the many-body theories and successful phenomenological models with collective and nucleon degrees of freedom. The second is to show how these models relate to the underlying many-nucleon shell model in its various coupling schemes.



Topics In Soliton Theory And Exactly Solvable Nonlinear Equations


Topics In Soliton Theory And Exactly Solvable Nonlinear Equations
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Author : Benno Fuchssteiner
language : en
Publisher: World Scientific Publishing Company Incorporated
Release Date : 1987-01-01

Topics In Soliton Theory And Exactly Solvable Nonlinear Equations written by Benno Fuchssteiner and has been published by World Scientific Publishing Company Incorporated this book supported file pdf, txt, epub, kindle and other format this book has been release on 1987-01-01 with Differential equations, Nonlinear categories.




Topics In Soliton Theory And Exactly Solvable Nonlinear Equations


Topics In Soliton Theory And Exactly Solvable Nonlinear Equations
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Author : Mark J. Ablowitz
language : en
Publisher:
Release Date : 1987

Topics In Soliton Theory And Exactly Solvable Nonlinear Equations written by Mark J. Ablowitz and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1987 with Evolution equations, Nonlinear categories.




Topics In Soliton Theory And Exactly Solvable Nonlinear Equations


Topics In Soliton Theory And Exactly Solvable Nonlinear Equations
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Author :
language : en
Publisher:
Release Date : 1987

Topics In Soliton Theory And Exactly Solvable Nonlinear Equations written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1987 with Equations categories.




Discrete Systems And Integrability


Discrete Systems And Integrability
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Author : J. Hietarinta
language : en
Publisher: Cambridge University Press
Release Date : 2016-09

Discrete Systems And Integrability written by J. Hietarinta and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2016-09 with Mathematics categories.


A first introduction to the theory of discrete integrable systems at a level suitable for students and non-experts.



Integrable And Superintegrable Systems


Integrable And Superintegrable Systems
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Author : Boris A Kuperschmidt
language : en
Publisher: World Scientific
Release Date : 1990-10-25

Integrable And Superintegrable Systems written by Boris A Kuperschmidt and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 1990-10-25 with Science categories.


Some of the most active practitioners in the field of integrable systems have been asked to describe what they think of as the problems and results which seem to be most interesting and important now and are likely to influence future directions. The papers in this collection, representing their authors' responses, offer a broad panorama of the subject as it enters the 1990's.



Integrability


Integrability
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Author : Alexander Mikhailov
language : en
Publisher: Springer
Release Date : 2008-11-05

Integrability written by Alexander Mikhailov and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2008-11-05 with Science categories.


The principal aim of the book is to give a comprehensive account of the variety of approaches to such an important and complex concept as Integrability. Dev- oping mathematical models, physicists often raise the following questions: whether the model obtained is integrable or close in some sense to an integrable one and whether it can be studied in depth analytically. In this book we have tried to c- ate a mathematical framework to address these issues, and we give descriptions of methods and review results. In the Introduction we give a historical account of the birth and development of the theory of integrable equations, focusing on the main issue of the book – the concept of integrability itself. A universal de nition of Integrability is proving to be elusive despite more than 40 years of its development. Often such notions as “- act solvability” or “regular behaviour” of solutions are associated with integrable systems. Unfortunately these notions do not lead to any rigorous mathematical d- inition. A constructive approach could be based upon the study of hidden and rich algebraic or analytic structures associated with integrable equations. The requi- ment of existence of elements of these structures could, in principle, be taken as a de nition for integrability. It is astonishing that the nal result is not sensitive to the choice of the structure taken; eventually we arrive at the same pattern of eq- tions.



Mathematical Problems In The Theory Of Water Waves


Mathematical Problems In The Theory Of Water Waves
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Author : Frederic Dias
language : en
Publisher: American Mathematical Soc.
Release Date : 1996

Mathematical Problems In The Theory Of Water Waves written by Frederic Dias 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 1996 with Mathematics categories.


The proceedings featured in this book grew out of a conference attended by 40 applied mathematicians and physicists which was held at the International Center for Research in Mathematics in Luminy, France, in May 1995. This volume reviews recent developments in the mathematical theory of water waves. The following aspects are considered: modeling of various wave systems, mathematical and numerical analysis of the full water wave problem (the Euler equations with a free surface) and of asymptotic models (Korteweg-de Vries, Boussinesq, Benjamin-Ono, Davey-Stewartson, Kadomtsev-Petviashvili, etc.), and existence and stability of solitary waves.



Fiber Optic Communications


Fiber Optic Communications
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Author : Shiva Kumar
language : en
Publisher: John Wiley & Sons
Release Date : 2014-05-12

Fiber Optic Communications written by Shiva Kumar and has been published by John Wiley & Sons this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-05-12 with Technology & Engineering categories.


Fiber-optic communication systems have advanced dramatically over the last four decades, since the era of copper cables, resulting in low-cost and high-bandwidth transmission. Fiber optics is now the backbone of the internet and long-distance telecommunication. Without it we would not enjoy the benefits of high-speed internet, or low-rate international telephone calls. This book introduces the basic concepts of fiber-optic communication in a pedagogical way. The important mathematical results are derived by first principles rather than citing research articles. In addition, physical interpretations and real-world analogies are provided to help students grasp the fundamental concepts. Key Features: Lucid explanation of key topics such as fibers, lasers, and photodetectors. Includes recent developments such as coherent communication and digital signal processing. Comprehensive treatment of fiber nonlinear transmission. Worked examples, exercises, and answers. Accompanying website with PowerPoint slides and numerical experiments in MATLAB. Intended primarily for senior undergraduates and graduates studying fiber-optic communications, the book is also suitable as a professional resource for researchers working in the field of fiber-optic communications.



Nonlinear Physics


Nonlinear Physics
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Author : Yunbo Zeng
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06

Nonlinear Physics written by Yunbo Zeng 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.


These refereed proceedings present recent developments on specific mathematical and physical aspects of nonlinear dynamics. The new findings discussed in here will be equally useful to graduate students and researchers. The topics dealt with cover a wide range of phenomena: solitons, integrable systems, Hamiltonian structures, Bäcklund and Darboux transformation, symmetries, fi- nite-dimensional dynamical systems, quantum and statistical mechanics, knot theory and braid group, R-matrix method, Hirota and Painlevé analysis, and applications to water waves, lattices, porous media, string theory and even cellular automata.