Nonlinear Evolution Equations Solvable By The Spectral Transform
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Nonlinear Evolutions Equations Solvable By The Spectral Transform
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Author : F. Calogero
language : en
Publisher:
Release Date : 1978
Nonlinear Evolutions Equations Solvable By The Spectral Transform written by F. Calogero and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1978 with categories.
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
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.
Nonlinear Evolutions Solvable By The Spectral Transform
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Author : F. Calogero
language : en
Publisher:
Release Date : 1978
Nonlinear Evolutions Solvable By The Spectral Transform written by F. Calogero and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1978 with categories.
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.
Nonlinear Evolution Equations And Dynamical Systems
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Author : M. Boiti
language : en
Publisher: Springer
Release Date : 1980
Nonlinear Evolution Equations And Dynamical Systems written by M. Boiti and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 1980 with Mathematics categories.
Geometrical Approaches To Differential Equations
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Author : R. Martini
language : en
Publisher: Springer
Release Date : 2006-11-15
Geometrical Approaches To Differential Equations written by R. Martini and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006-11-15 with Mathematics categories.
Hamiltonian Methods In The Theory Of Solitons
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Author : Ludwig Faddeev
language : en
Publisher: Springer Science & Business Media
Release Date : 2007-08-10
Hamiltonian Methods In The Theory Of Solitons written by Ludwig Faddeev 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 2007-08-10 with Science categories.
This book presents the foundations of the inverse scattering method and its applications to the theory of solitons in such a form as we understand it in Leningrad. The concept of solitonwas introduced by Kruskal and Zabusky in 1965. A soliton (a solitary wave) is a localized particle-like solution of a nonlinear equation which describes excitations of finite energy and exhibits several characteristic features: propagation does not destroy the profile of a solitary wave; the interaction of several solitary waves amounts to their elastic scat tering, so that their total number and shape are preserved. Occasionally, the concept of the soliton is treated in a more general sense as a localized solu tion of finite energy. At present this concept is widely spread due to its universality and the abundance of applications in the analysis of various processes in nonlinear media. The inverse scattering method which is the mathematical basis of soliton theory has developed into a powerful tool of mathematical physics for studying nonlinear partial differential equations, almost as vigoraus as the Fourier transform. The book is based on the Hamiltonian interpretation of the method, hence the title. Methods of differential geometry and Hamiltonian formal ism in particular are very popular in modern mathematical physics. It is precisely the general Hamiltonian formalism that presents the inverse scat tering method in its most elegant form. Moreover, the Hamiltonian formal ism provides a link between classical and quantum mechanics.
Structural Stability In Physics
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Author : G. Güttinger
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06
Structural Stability In Physics written by G. Güttinger 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.
This volume is the record and product of two International Symposia on the Appli cation of Catastrophe Theory and Topological Concepts in Physics, held in May and December 1978 at the Institute for Information Sciences, University of TUbingen. The May Symposium centered around the conferral of an honorary doctorate upon Professor Rene Thom, Paris, by the Faculty of Physics of the University of TUbingen in recognition of his discovery of universal structure principles and the new di mension he has added to scientific knowledge by his pioneering work on structural stability and morphogenesis. Owing to the broad scope and rapid development of the field, the May Sympos,ium was followed in December by a second one on the same sub jects. The symposia, attended by more than 50 scientists, brought together mathe maticians, physicists, chemists and biologists to exchange ideas about the recent faSCinating impact of topological concepts on the physical sciences, and also to introduce young scientists to the field. The contributions, covering a wide spectrum, are summarized in the subsequent Introduction. The primary support of the Symposia was provided by the "Vereinigung der Freunde der Univertat TUbingen" (Association of the Benefactors of the University). We are particularly indebted to Dr. H. Doerner for his personal engagement and efficient help with the projects, both in his capacity as Secretary of the Association and as Administrative Director of the University.
Symmetry Analysis Of Differential Equations With Mathematica
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Author : Gerd Baumann
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-11-21
Symmetry Analysis Of Differential Equations With Mathematica written by Gerd Baumann 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 2013-11-21 with Mathematics categories.
The purpose of this book is to provide the reader with a comprehensive introduction to the applications of symmetry analysis to ordinary and partial differential equations. The theoretical background of physics is illustrated by modem methods of computer algebra. The presentation of the material in the book is based on Mathematica 3.0 note books. The entire printed version of this book is available on the accompanying CD. The text is presented in such a way that the reader can interact with the calculations and experiment with the models and methods. Also contained on the CD is a package called MathLie-in honor of Sophus Lie---carrying out the calculations automatically. The application of symmetry analysis to problems from physics, mathematics, and en gineering is demonstrated by many examples. The study of symmetries of differential equations is an old subject. Thanks to Sophus Lie we today have available to us important information on the behavior of differential equations. Symmetries can be used to find exact solutions. Symmetries can be applied to verify and to develop numerical schemes. They can provide conservation laws for differential equations. The theory presented here is based on Lie, containing improve ments and generalizations made by later mathematicians who rediscovered and used Lie's work. The presentation of Lie's theory in connection with Mathematica is novel and vitalizes an old theory. The extensive symbolic calculations necessary under Lie's theory are supported by MathLie, a package written in Mathematica.