Backlund Transformations
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Lie Backlund Transformations In Applications
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Author : Robert L. Anderson
language : en
Publisher: SIAM
Release Date : 1979-01-01
Lie Backlund Transformations In Applications written by Robert L. Anderson and has been published by SIAM this book supported file pdf, txt, epub, kindle and other format this book has been release on 1979-01-01 with Mathematics categories.
This title presents an introduction to the classical treatment of Backlund and general surface transformations; and includes detailed and accessible techniques for constructing both groups of tranformations which will be of great value to the scientist and engineer in the analysis of mathematical models of physical phenomena. Classical and recent examples of Backlund transformations as applied to geometry, nonlinear optics, turbulence models, nonlinear waves and quantum mechanics are given. The authors discuss applications of Lie-Backlund transformations in mechanics, quantum mechanics, gas dynamics, hydrodynamics, and relativity.
B Cklund Transformations The Inverse Scattering Method Solitons And Their Applications
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Author : Robert M. Miura
language : en
Publisher: Springer
Release Date : 2006-11-14
B Cklund Transformations The Inverse Scattering Method Solitons And Their Applications written by Robert M. Miura and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006-11-14 with Mathematics categories.
Proceedings of the NSF Research Workshop on Contact Transformations, Held in Nashville, Tennessee, 1974
Toda Lattices Cosymplectic Manifolds B Cklund Transformations And Kinks
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Author : Robert Hermann
language : en
Publisher: Math Science Press
Release Date : 1977
Toda Lattices Cosymplectic Manifolds B Cklund Transformations And Kinks written by Robert Hermann and has been published by Math Science Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1977 with Mathematics categories.
B Cklund And Darboux Transformations
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Author : C. Rogers
language : en
Publisher: Cambridge University Press
Release Date : 2002-06-24
B Cklund And Darboux Transformations written by C. Rogers 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 2002-06-24 with Mathematics categories.
This book explores the deep and fascinating connections that exist between a ubiquitous class of physically important waves known as solitons and the theory of transformations of a privileged class of surfaces as they were studied by eminent geometers of the nineteenth century. Thus, nonlinear equations governing soliton propagation and also mathematical descriptions of their remarkable interaction properties are shown to arise naturally out of the classical differential geometry of surfaces and what are termed Bäcklund-Darboux transformations.This text, the first of its kind, is written in a straightforward manner and is punctuated by exercises to test the understanding of the reader. It is suitable for use in higher undergraduate or graduate level courses directed at applied mathematicians or mathematical physics.
B Cklund And Darboux Transformations
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Author : A. A. Coley
language : en
Publisher: American Mathematical Soc.
Release Date : 2001-01-01
B Cklund And Darboux Transformations written by A. A. Coley 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 2001-01-01 with Mathematics categories.
This book is devoted to a classical topic that has undergone rapid and fruitful development over the past 25 years, namely Backlund and Darboux transformations and their applications in the theory of integrable systems, also known as soliton theory. The book consists of two parts. The first is a series of introductory pedagogical lectures presented by leading experts in the field. They are devoted respectively to Backlund transformations of Painleve equations, to the dressing methodand Backlund and Darboux transformations, and to the classical geometry of Backlund transformations and their applications to soliton theory. The second part contains original contributions that represent new developments in the theory and applications of these transformations. Both the introductorylectures and the original talks were presented at an International Workshop that took place in Halifax, Nova Scotia (Canada). This volume covers virtually all recent developments in the theory and applications of Backlund and Darboux transformations.
Ba Cklund Transformations And Their Applications
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Author : Rogers
language : en
Publisher: Academic Press
Release Date : 1982-06-18
Ba Cklund Transformations And Their Applications written by Rogers and has been published by Academic Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1982-06-18 with Computers categories.
Ba?cklund Transformations and Their Applications
Introduction To Symmetry Analysis Paperback With Cd Rom
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Author : Brian Cantwell
language : en
Publisher: Cambridge University Press
Release Date : 2002-09-23
Introduction To Symmetry Analysis Paperback With Cd Rom written by Brian Cantwell 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 2002-09-23 with Mathematics categories.
An introduction to symmetry analysis for graduate students in science, engineering and applied mathematics.
Backlund Transformations
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Author :
language : en
Publisher:
Release Date : 1976
Backlund Transformations written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1976 with Contact transformations categories.
Introduction To Multidimensional Integrable Equations
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Author : B.G. Konopelchenko
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-06-29
Introduction To Multidimensional Integrable Equations written by B.G. Konopelchenko 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 2013-06-29 with Science categories.
The soliton represents one ofthe most important ofnonlinear phenomena in modern physics. It constitutes an essentially localizedentity with a set ofremarkable properties. Solitons are found in various areas of physics from gravitation and field theory, plasma physics, and nonlinear optics to solid state physics and hydrodynamics. Nonlinear equations which describe soliton phenomena are ubiquitous. Solitons and the equations which commonly describe them are also of great mathematical interest. Thus, the dis covery in 1967and subsequent development ofthe inversescattering transform method that provides the mathematical structure underlying soliton theory constitutes one of the most important developments in modern theoretical physics. The inversescattering transform method is now established as a very powerful tool in the investigation of nonlinear partial differential equations. The inverse scattering transform method, since its discoverysome two decades ago, has been applied to a great variety of nonlinear equations which arise in diverse fields of physics. These include ordinary differential equations, partial differential equations, integrodifferential, and differential-difference equations. The inverse scattering trans form method has allowed the investigation of these equations in a manner comparable to that of the Fourier method for linear equations.
Painleve Equations Through Symmetry
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Author : Masatoshi Noumi
language : en
Publisher: American Mathematical Soc.
Release Date : 2004-01-01
Painleve Equations Through Symmetry written by Masatoshi Noumi 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 2004-01-01 with Mathematics categories.
This book is devoted to the symmetry of Painleve equations (especially those of types II and IV). The author studies families of transformations for several types of Painleve equationsQthe so-called Backlund transformationsQwhich transform solutions of a given Painleve equation to solutions of the same equation with a different set of parameters. It turns out that these symmetries can be interpreted in terms of root systems associated to affine Weyl groups. The author describes the remarkable combinatorial structures of these symmetries and shows how they are related to the theory of $\tau$-functions associated to integrable systems.