Topics In Soliton Theory
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Topics In Soliton Theory
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Author : R.W. Carroll
language : en
Publisher: Elsevier
Release Date : 1991-11-26
Topics In Soliton Theory written by R.W. Carroll and has been published by Elsevier this book supported file pdf, txt, epub, kindle and other format this book has been release on 1991-11-26 with Science categories.
When soliton theory, based on water waves, plasmas, fiber optics etc., was developing in the 1960-1970 era it seemed that perhaps KdV (and a few other equations) were really rather special in the set of all interesting partial differential equations. As it turns out, although integrable systems are still special, the mathematical interaction of integrable systems theory with virtually all branches of mathematics (and with many currently developing areas of theoretical physics) illustrates the importance of this area. This book concentrates on developing the theme of the tau function. KdV and KP equations are treated extensively, with material on NLS and AKNS systems, and in following the tau function theme one is led to conformal field theory, strings, and other topics in physics. The extensive list of references contains about 1000 entries.
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
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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
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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.
Solitons
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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
Soliton Theory And Its Applications
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Author : Chaohao Gu
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-03-14
Soliton Theory And Its Applications written by Chaohao Gu 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 2013-03-14 with Mathematics categories.
Soliton theory is an important branch of applied mathematics and mathematical physics. An active and productive field of research, it has important applications in fluid mechanics, nonlinear optics, classical and quantum fields theories etc. This book presents a broad view of soliton theory. It gives an expository survey of the most basic ideas and methods, such as physical background, inverse scattering, Backlünd transformations, finite-dimensional completely integrable systems, symmetry, Kac-moody algebra, solitons and differential geometry, numerical analysis for nonlinear waves, and gravitational solitons. Besides the essential points of the theory, several applications are sketched and some recent developments, partly by the authors and their collaborators, are presented.
Glimpses Of Soliton Theory
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Author : Alex Kasman
language : en
Publisher: American Mathematical Soc.
Release Date : 2010
Glimpses Of Soliton Theory written by Alex Kasman 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 2010 with Mathematics categories.
Glimpses of Soliton Theory addresses some of the hidden mathematical connections in soliton theory which have been revealed over the last half-century. It aims to convince the reader that, like the mirrors and hidden pockets used by magicians, the underlying algebro-geometric structure of soliton equations provides an elegant and surprisingly simple explanation of something seemingly miraculous. --
Solitons
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Author : Matthew C. Williams
language : en
Publisher: Nova Science Publishers
Release Date : 2013
Solitons written by Matthew C. Williams and has been published by Nova Science Publishers this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013 with Solitons categories.
In mathematics and physics, a soliton is a self-reinforcing solitary wave (a wave packet or pulse) that maintains its shape while it travels at constant speed. Solitons are caused by a cancellation of non-linear and dispersive effects in the medium. In this book, the authors discuss the interactions and theoretical and experimental challenges of solitons. Topics include soliton motion of electrons and its physical properties in coupled electron-phonon systems and ionic crystals; soliton excitations and its experimental evidence in molecular crystals; shapes and dynamics of semi-discrete solitons in arrayed and stacked waveguiding systems; and more.
Dissipative Solitons From Optics To Biology And Medicine
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Author : Nail Akhmediev
language : en
Publisher: Springer Science & Business Media
Release Date : 2008-08-26
Dissipative Solitons From Optics To Biology And Medicine written by Nail Akhmediev 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 2008-08-26 with Technology & Engineering categories.
The dissipative soliton concept is a fundamental extension of the concept of solitons in conservative and integrable systems. It includes ideas from three major sources, namely standard soliton theory developed since the 1960s; nonlinear dynamics theory; and Prigogine's ideas of systems far from equilibrium. These three sources also correspond to the three component parts of this novel paradigm. This book explains the above principles in detail and gives the reader various examples.
Solitons
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Author : R. MacKenzie
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06
Solitons written by R. MacKenzie 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.
Solitons were discovered by John Scott Russel in 1834, and have interested scientists and mathematicians ever since. They have been the subject of a large body of research in a wide variety of fields of physics and mathematics, not to mention engineering and other branches of science such as biology. This volume comprises the written versions of the talks presented at a workshop held at Queen's University in 1997, an interdisciplinary meeting wherein top researchers from many fields could meet, interact, and exchange ideas. Topics covered include mathematical and numerical aspects of solitons, as well as applications of solitons to nuclear and particle physics, cosmology, and condensed-matter physics. The book should be of interest to researchers in any field in which solitons are encountered.