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Zeros Of Polynomials And Solvable Nonlinear Evolution Equations

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Zeros Of Polynomials And Solvable Nonlinear Evolution Equations

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Author : Francesco Calogero
language : en
Publisher: Cambridge University Press
Release Date : 2018-09-20

Zeros Of Polynomials And Solvable Nonlinear Evolution Equations written by Francesco Calogero 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 2018-09-20 with Science categories.

Reporting a novel breakthrough in the identification and investigation of solvable and integrable nonlinearly coupled evolution ordinary differential equations (ODEs) or partial differential equations (PDEs), this text includes practical examples throughout to illustrate the theoretical concepts. Beginning with systems of ODEs, including second-order ODEs of Newtonian type, it then discusses systems of PDEs, and systems evolving in discrete time. It reports a novel, differential algorithm which can be used to evaluate all the zeros of a generic polynomial of arbitrary degree: a remarkable development of a fundamental mathematical problem with a long history. The book will be of interest to applied mathematicians and mathematical physicists working in the area of integrable and solvable non-linear evolution equations; it can also be used as supplementary reading material for general applied mathematics or mathematical physics courses.

Zeros Of Polynomials And Solvable Nonlinear Evolution Equations

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Author : Francesco Calogero
language : en
Publisher: Cambridge University Press
Release Date : 2018-09-20

Integrable Systems And Algebraic Geometry

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Author : Ron Donagi
language : en
Publisher: Cambridge University Press
Release Date : 2020-04-02

Integrable Systems And Algebraic Geometry written by Ron Donagi 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 2020-04-02 with Mathematics categories.

A collection of articles discussing integrable systems and algebraic geometry from leading researchers in the field.

Nonlinear Systems And Their Remarkable Mathematical Structures

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Author : Norbert Euler
language : en
Publisher: CRC Press
Release Date : 2019-12-06

Nonlinear Systems And Their Remarkable Mathematical Structures written by Norbert Euler and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019-12-06 with Mathematics categories.

Nonlinear Systems and Their Remarkable Mathematical Structures, Volume 2 is written in a careful pedagogical manner by experts from the field of nonlinear differential equations and nonlinear dynamical systems (both continuous and discrete). This book aims to clearly illustrate the mathematical theories of nonlinear systems and its progress to both non-experts and active researchers in this area. Just like the first volume, this book is suitable for graduate students in mathematics, applied mathematics and engineering sciences, as well as for researchers in the subject of differential equations and dynamical systems. Features Collects contributions on recent advances in the subject of nonlinear systems Aims to make the advanced mathematical methods accessible to the non-experts Suitable for a broad readership including researchers and graduate students in mathematics and applied mathematics

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.

Spectral Transform And Solitons

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Author : F. Calogero
language : en
Publisher: Elsevier
Release Date : 2011-08-18

Spectral Transform And Solitons written by F. Calogero and has been published by Elsevier this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011-08-18 with Mathematics categories.

Spectral Transform and Solitons

Classical Many Body Problems Amenable To Exact Treatments

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Author : Francesco Calogero
language : en
Publisher: Springer Science & Business Media
Release Date : 2003-07-01

Classical Many Body Problems Amenable To Exact Treatments written by Francesco Calogero 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 2003-07-01 with Science categories.

This book focuses treatable This class on exactly many' body problems. does not include most We are therefore reminded "of physical problems. the of the man home late at after an alcoholic who, story returning night the for his under he was a knew, evening, scanning ground key lamppost; be that he had it somewhere but under the to sure, dropped else, only Yet was there to conduct a searcW' . light lamppost enough proper we feel the interest for such models is nowadays sufficiently widespread because of their their mathematical relevance and their multi beauty, farious that need be made for no our apologies applicative potential choice. In whoever undertakes to read this book will know from any case, its title what she is in for! Yet this title a of it some may require explanations: gloss (including its extended inside front follows. version, see cover) and nonrelativistic "Classical" we mean nonquantal (although By consider the which indeed some are Ruijsenaars Schneider models, treated in this relativistic versions as known, nonre book, of, previously lativistic is focussed see our on models; below): presentation mainly of whose time evolution is determined many body point particles systems Newtonian of motion to by equations (acceleration proportional force).

Nonlinear Evolution Equations Solvable By The Spectral Transform

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Author : F. Calogero
language : en
Publisher: Pitman Publishing
Release Date : 1978

Nonlinear Evolution Equations Solvable By The Spectral Transform written by F. Calogero and has been published by Pitman Publishing this book supported file pdf, txt, epub, kindle and other format this book has been release on 1978 with Mathematics categories.

The volume contains the text of the invited lectures presented at the International Symposium on "Nonlinear Evolution Equations Solvable by the Inverse Spectral Transform", that took place at the Accademia dei Lincei in Rome from June 15 through June 18, 1977. It introduces an important mathematical technique based on the spectral transform and relevant to the solution of nonlinear evolution equations. These texts will be of particular value to theoretical physicists (in plasma, nonlinear optics, hydrodynamics, solid state and elementary particles); applied mathematicians interested in nonlinear evolution equations; and pure mathematicians interested in algebraic and differential geometry.

Order And Chaos In Nonlinear Physical Systems

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Author : Stig Lundqvist
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-11-11

Order And Chaos In Nonlinear Physical Systems written by Stig Lundqvist 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 2013-11-11 with Science categories.

This volume is concerned with the theoretical description of patterns and instabilities and their relevance to physics, chemistry, and biology. More specifically, the theme of the work is the theory of nonlinear physical systems with emphasis on the mechanisms leading to the appearance of regular patterns of ordered behavior and chaotic patterns of stochastic behavior. The aim is to present basic concepts and current problems from a variety of points of view. In spite of the emphasis on concepts, some effort has been made to bring together experimental observations and theoretical mechanisms to provide a basic understanding of the aspects of the behavior of nonlinear systems which have a measure of generality. Chaos theory has become a real challenge to physicists with very different interests and also in many other disciplines, of which astronomy, chemistry, medicine, meteorology, economics, and social theory are already embraced at the time of writing. The study of chaos-related phenomena has a truly interdisciplinary charac ter and makes use of important concepts and methods from other disciplines. As one important example, for the description of chaotic structures the branch of mathematics called fractal geometry (associated particularly with the name of Mandelbrot) has proved invaluable. For the discussion of the richness of ordered structures which appear, one relies on the theory of pattern recognition. It is relevant to mention that, to date, computer studies have greatly aided the analysis of theoretical models describing chaos.

Orthogonal Polynomials And Painlev Equations

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Author : Walter Van Assche
language : en
Publisher: Cambridge University Press
Release Date : 2018

Orthogonal Polynomials And Painlev Equations written by Walter Van Assche 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 2018 with Mathematics categories.

There are a number of intriguing connections between Painlev equations and orthogonal polynomials, and this book is one of the first to provide an introduction to these. Researchers in integrable systems and non-linear equations will find the many explicit examples where Painlev equations appear in mathematical analysis very useful. Those interested in the asymptotic behavior of orthogonal polynomials will also find the description of Painlev transcendants and their use for local analysis near certain critical points helpful to their work. Rational solutions and special function solutions of Painlev equations are worked out in detail, with a survey of recent results and an outline of their close relationship with orthogonal polynomials. Exercises throughout the book help the reader to get to grips with the material. The author is a leading authority on orthogonal polynomials, giving this work a unique perspective on Painlev equations.

Zeros Of Polynomials And Solvable Nonlinear Evolution Equations

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