Soliton Equations And Hamiltonian Systems

DOWNLOAD

Download Soliton Equations And Hamiltonian Systems PDF/ePub or read online books in Mobi eBooks. Click Download or Read Online button to get Soliton Equations And Hamiltonian Systems book now. This website allows unlimited access to, at the time of writing, more than 1.5 million titles, including hundreds of thousands of titles in various foreign languages. If the content not found or just blank you must refresh this page

Soliton Equations And Hamiltonian Systems

DOWNLOAD
Author : L.A. Dickey
language : en
Publisher: World Scientific
Release Date : 1991

Soliton Equations And Hamiltonian Systems written by L.A. Dickey 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 with Science categories.

The theory of soliton equations and integrable systems has developed rapidly during the last 20 years with numerous applications in mechanics and physics. For a long time books in this field have not been written but the flood of papers was overwhelming: many hundreds, maybe thousands of them. All this followed one single work by Gardner, Greene, Kruskal, and Miura about the Korteweg-de Vries equation (KdV) which, had seemed to be merely an unassuming equation of mathematical physics describing waves in shallow water.

Soliton Equations And Hamiltonian Systems

DOWNLOAD
Author : Leonid A. Dickey
language : en
Publisher: World Scientific
Release Date : 2003

Soliton Equations And Hamiltonian Systems written by Leonid A. Dickey and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2003 with Science categories.

The theory of soliton equations and integrable systems has developed rapidly during the last 30 years with numerous applications in mechanics and physics. For a long time, books in this field have not been written but the flood of papers was overwhelming: many hundreds, maybe thousands of them. All this output followed one single work by Gardner, Green, Kruskal, and Mizura on the Korteweg-de Vries equation (KdV), which had seemed to be merely an unassuming equation of mathematical physics describing waves in shallow water.Besides its obvious practical use, this theory is attractive also because it satisfies the aesthetic need in a beautiful formula which is so inherent to mathematics.The second edition is up-to-date and differs from the first one considerably. One third of the book (five chapters) is completely new and the rest is refreshed and edited.

Soliton Equations And Their Algebro Geometric Solutions Volume 1 1 1 Dimensional Continuous Models

DOWNLOAD
Author : Fritz Gesztesy
language : en
Publisher: Cambridge University Press
Release Date : 2003-06-05

Soliton Equations And Their Algebro Geometric Solutions Volume 1 1 1 Dimensional Continuous Models written by Fritz Gesztesy 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 2003-06-05 with Mathematics categories.

The focus of this book is on algebro-geometric solutions of completely integrable nonlinear partial differential equations in (1+1)-dimensions, also known as soliton equations. Explicitly treated integrable models include the KdV, AKNS, sine-Gordon, and Camassa-Holm hierarchies as well as the classical massive Thirring system. An extensive treatment of the class of algebro-geometric solutions in the stationary as well as time-dependent contexts is provided. The formalism presented includes trace formulas, Dubrovin-type initial value problems, Baker-Akhiezer functions, and theta function representations of all relevant quantities involved. The book uses techniques from the theory of differential equations, spectral analysis, and elements of algebraic geometry (most notably, the theory of compact Riemann surfaces). The presentation is rigorous, detailed, and self-contained, with ample background material provided in various appendices. Detailed notes for each chapter together with an exhaustive bibliography enhance the presentation offered in the main text.

Solitons In Mathematics And Physics

DOWNLOAD
Author : Alan C. Newell
language : en
Publisher: SIAM
Release Date : 1985-06-01

Solitons In Mathematics And Physics written by Alan C. Newell and has been published by SIAM this book supported file pdf, txt, epub, kindle and other format this book has been release on 1985-06-01 with Technology & Engineering categories.

A discussion of the soliton, focusing on the properties that make it physically ubiquitous and the soliton equation mathematically miraculous.

Soliton Equations And Their Algebro Geometric Solutions Volume 2 1 1 Dimensional Discrete Models

DOWNLOAD
Author : Fritz Gesztesy
language : en
Publisher: Cambridge University Press
Release Date : 2008-09-04

Soliton Equations And Their Algebro Geometric Solutions Volume 2 1 1 Dimensional Discrete Models written by Fritz Gesztesy 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 2008-09-04 with Mathematics categories.

As a partner to Volume 1: Dimensional Continuous Models, this monograph provides a self-contained introduction to algebro-geometric solutions of completely integrable, nonlinear, partial differential-difference equations, also known as soliton equations. The systems studied in this volume include the Toda lattice hierarchy, the Kac-van Moerbeke hierarchy, and the Ablowitz-Ladik hierarchy. An extensive treatment of the class of algebro-geometric solutions in the stationary as well as time-dependent contexts is provided. The theory presented includes trace formulas, algebro-geometric initial value problems, Baker-Akhiezer functions, and theta function representations of all relevant quantities involved. The book uses basic techniques from the theory of difference equations and spectral analysis, some elements of algebraic geometry and especially, the theory of compact Riemann surfaces. The presentation is constructive and rigorous, with ample background material provided in various appendices. Detailed notes for each chapter, together with an exhaustive bibliography, enhance understanding of the main results.

Solitons

DOWNLOAD
Author : P. G. Drazin
language : en
Publisher: Cambridge University Press
Release Date : 1989-02-09

Solitons written by P. G. Drazin 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 1989-02-09 with Mathematics categories.

This textbook is an introduction to the theory of solitons in the physical sciences.

Solitons Instantons And Twistors

DOWNLOAD
Author : Maciej Dunajski
language : en
Publisher: Oxford University Press
Release Date : 2024-05-07

Solitons Instantons And Twistors written by Maciej Dunajski 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 2024-05-07 with Mathematics categories.

Most nonlinear differential equations arising in natural sciences admit chaotic behaviour and cannot be solved analytically. Integrable systems lie on the other extreme. They possess regular, stable, and well-behaved solutions known as solitons and instantons. These solutions play important roles in pure and applied mathematics as well as in theoretical physics where they describe configurations topologically different from vacuum. While integrable equations in lower space-time dimensions can be solved using the inverse scattering transform, the higher-dimensional examples of anti-self-dual Yang-Mills and Einstein equations require twistor theory. Both techniques rely on an ability to represent nonlinear equations as compatibility conditions for overdetermined systems of linear differential equations. The book provides a self-contained and accessible introduction to the subject. It starts with an introduction to integrability of ordinary and partial differential equations. Subsequent chapters explore symmetry analysis, gauge theory, vortices, gravitational instantons, twistor transforms, and anti-self-duality equations. The three appendices cover basic differential geometry, complex manifold theory, and the exterior differential system.

Finite Dimensional Completely Integrable Hamiltonian Systems Associated With Soliton Equations

DOWNLOAD
Author : Taixi Xu
language : en
Publisher:
Release Date : 2000

Finite Dimensional Completely Integrable Hamiltonian Systems Associated With Soliton Equations written by Taixi Xu and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2000 with categories.

Spectral Methods In Soliton Equations

DOWNLOAD
Author : I D Iliev
language : en
Publisher: CRC Press
Release Date : 1994-11-21

Spectral Methods In Soliton Equations written by I D Iliev and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1994-11-21 with Mathematics categories.

Soliton theory as a method for solving some classes of nonlinear evolution equations (soliton equations) is one of the most actively developing topics in mathematical physics. This book presents some spectral theory methods for the investigation of soliton equations ad the inverse scattering problems related to these equations. The authors give the theory of expansions for the Sturm-Liouville operator and the Dirac operator. On this basis, the spectral theory of recursion operators generating Korteweg-de Vries type equations is presented and the Ablowitz-Kaup-Newell-Segur scheme, through which the inverse scattering method could be understood as a Fourier-type transformation, is considered. Following these ideas, the authors investigate some of the questions related to inverse spectral problems, i.e. uniqueness theorems, construction of explicit solutions and approximative methods for solving inverse scattering problems. A rigorous investigation of the stability of soliton solutions including solitary waves for equations which do not allow integration within inverse scattering method is also presented.

Solitons

DOWNLOAD
Author : R.K. Bullough
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-11-11

Solitons written by R.K. Bullough 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.

With contributions by numerous experts