Lie Backlund Transformations In Applications
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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.
Lie Backlund Transformations In Applications
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Author : Robert L. Anderson
language : en
Publisher: SIAM
Release Date : 1979-06-01
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 1979-06-01 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.
Lie B Cklund Transformations In Applications
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Author : Robert L. Anderson
language : en
Publisher:
Release Date : 1981
Lie B Cklund Transformations In Applications written by Robert L. Anderson and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1981 with categories.
Lie B Cklund Transformations In Applications
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Author : Robert Leonard Anderson
language : en
Publisher:
Release Date : 1979
Lie B Cklund Transformations In Applications written by Robert Leonard Anderson and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1979 with categories.
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
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
Transformation Groups Applied To Mathematical Physics
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Author : Nail H. Ibragimov
language : en
Publisher: Springer Science & Business Media
Release Date : 2001-11-30
Transformation Groups Applied To Mathematical Physics written by Nail H. Ibragimov 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 2001-11-30 with Science categories.
Approach your problems from the right It isn't that they can't see the solution. end and begin with the answers. Then It is that they can't see the problem. one day, perhaps you will find the final question. G.K. Chesterton. The Scandal of Father Brown 'The Point of a Pin'. 'The Hermit Clad in Crane Feathers' in R.van Gulik's The Chinese Maze Murders. Growing specialization and diversification have brought a host of monographs and textbooks on increasingly specialized topics. However, the "tree" of knowledge of mathematics and related fields does not grow only by putting forth new branches. It also happens, quite often in fact, that branches which were thought to be completely disparate are suddenly seen to be related. Further, the kind and level of sophistication of mathematics applied in various sciences has changed drastically in recent years: measure theory is used (non-trivially) in - gional and theoretical economics; algebraic geometry interacts with physics; the Minkowsky lemma, coding theory and the structure of water meet one another in pack ing and covering theory; quantum fields, crystal defects and mathematical programming profit from homotopy theory; Lie algebras are relevant to filtering; and prediction and electrical engineering can use Stein spaces. And in addition to this there are such new emerging subdisciplines as "completely integrable systems", "chaos, synergetics and large-scale order", which are almost impossible to fit into the existing classification schemes. They draw upon widely different sections of mathematics.
Local Jet Bundle Formulation Of B Ckland Transformations
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Author : F.A.E. Pirani
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06
Local Jet Bundle Formulation Of B Ckland Transformations written by F.A.E. Pirani 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.
The aim of this paper is to show that the theory of jet bundles supplies the appropriate setting for the study of Backlund trans formations. These transformations are used to solve certain partial differential equations, particularly non-linear evolution equations. Of course jets have been employed for some time in the theory of partial differential equations, but so far little use has been made of them in applications. In the meanwhile, substantial progress has been made in the study of non-linear evolution equations. This work has been encouraged by the dis covery of remarkable properties of some such equations, for example the existence of soliton solutions and of infinite se quences of conservation laws. Among the techniques devised to deal with these equations are the inverse scattering method and the Backlund transformation. In our opinion the jet bundle formulation offers a unifying geometrical framework for under standing the properties of non-linear evolution equations and the techniques used to deal with them, although we do not consider all of these properties and techniques here. The relevance of the theory of jet bundles lS that it legitimates the practice of regarding the partial derivatives of field variables as independent quantities. Since Backlund trans formations require from the outset manipulation of these partial derivatives, and repeated shifts of point of view about which variables are dependent on which, this geometrical setting clari fies and simplifies the concepts involved, and offers the prospect of bringing coherence to a variety of disparate results.
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.
Applied Mechanics Reviews
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Author :
language : en
Publisher:
Release Date : 1980
Applied Mechanics Reviews written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1980 with Mechanics, Applied categories.