Solitons Nonlinear Evolution Equations And Inverse Scattering
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Solitons Nonlinear Evolution Equations And Inverse Scattering
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Author : Mark J. Ablowitz
language : en
Publisher: Cambridge University Press
Release Date : 1991-12-12
Solitons Nonlinear Evolution Equations And Inverse Scattering written by Mark J. Ablowitz 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 1991-12-12 with Mathematics categories.
This book will be a valuable addition to the growing literature in the area and essential reading for all researchers in the field of soliton theory.
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Author : M. J. Ablowitz
language : en
Publisher:
Release Date : 2000
written by M. J. Ablowitz and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2000 with Solitons categories.
著者规范译名:克拉克斯。
Solitons Nonlinear Evolution Equations And Inverse Scattering
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Author : M. A. Ablowitz
language : en
Publisher:
Release Date : 1991
Solitons Nonlinear Evolution Equations And Inverse Scattering written by M. A. Ablowitz and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1991 with Electronic books categories.
This book will be a valuable addition to the growing literature in the area and essential reading for all researchers in the field of soliton theory.
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.
Solitons And The Inverse Scattering Transform
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Author : Mark J. Ablowitz
language : en
Publisher: SIAM
Release Date : 1981-01-01
Solitons And The Inverse Scattering Transform written by Mark J. Ablowitz and has been published by SIAM this book supported file pdf, txt, epub, kindle and other format this book has been release on 1981-01-01 with Mathematics categories.
A study, by two of the major contributors to the theory, of the inverse scattering transform and its application to problems of nonlinear dispersive waves that arise in fluid dynamics, plasma physics, nonlinear optics, particle physics, crystal lattice theory, nonlinear circuit theory and other areas. A soliton is a localized pulse-like nonlinear wave that possesses remarkable stability properties. Typically, problems that admit soliton solutions are in the form of evolution equations that describe how some variable or set of variables evolve in time from a given state. The equations may take a variety of forms, for example, PDEs, differential difference equations, partial difference equations, and integrodifferential equations, as well as coupled ODEs of finite order. What is surprising is that, although these problems are nonlinear, the general solution that evolves from almost arbitrary initial data may be obtained without approximation. For such exactly solvable problems, the inverse scattering transform provides the general solution of their initial value problems. It is equally surprising that some of these exactly solvable problems arise naturally as models of physical phenomena. Simply put, the inverse scattering transform is a nonlinear analog of the Fourier transform used for linear problems. Its value lies in the fact that it allows certain nonlinear problems to be treated by what are essentially linear methods. Chapters 1 and 2 of the book describe in detail the theory of the inverse scattering transform. Chapter 3 discusses alternate methods for these exactly solvable problems and the interconnections among them. Physical applications are described in Chapter 4, where, for example, similarities between deep water waves and nonlinear optics become evident. Because of the fundamental role of linear theory, there is an extensive appendix that addresses the linear problems and their solutions.
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.
Solitons
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Author : Boling Guo
language : en
Publisher: Walter de Gruyter GmbH & Co KG
Release Date : 2018-03-19
Solitons written by Boling Guo and has been published by Walter de Gruyter GmbH & Co KG this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018-03-19 with Mathematics categories.
This book provides an up-to-date overview of mathematical theories and research results on solitons, presenting related mathematical methods and applications as well as numerical experiments. Different types of soliton equations are covered along with their dynamical behaviors and applications from physics, making the book an essential reference for researchers and graduate students in applied mathematics and physics. Contents Introduction Inverse scattering transform Asymptotic behavior to initial value problems for some integrable evolution nonlinear equations Interaction of solitons and its asymptotic properties Hirota method Bäcklund transformations and the infinitely many conservation laws Multi-dimensional solitons and their stability Numerical computation methods for some nonlinear evolution equations The geometric theory of solitons Global existence and blow up for the nonlinear evolution equations The soliton movements of elementary particles in nonlinear quantum field The theory of soliton movement of superconductive features The soliton movements in condensed state systemsontents
Topics In Soliton Theory And Exactly Solvable Nonlinear Equations
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Author : Mark J. Ablowitz
language : en
Publisher:
Release Date : 1987
Topics In Soliton Theory And Exactly Solvable Nonlinear Equations written by Mark J. Ablowitz and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1987 with Evolution equations, Nonlinear categories.
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 Physics Of Plasmas
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Author : Mitsuo Kono
language : en
Publisher: Springer Science & Business Media
Release Date : 2010-10-17
Nonlinear Physics Of Plasmas written by Mitsuo Kono 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 2010-10-17 with Science categories.
A nonlinearity is one of the most important notions in modern physics. A plasma is rich in nonlinearities and provides a variety of behaviors inherent to instabilities, coherent wave structures and turbulence. The book covers the basic concepts and mathematical methods, necessary to comprehend nonlinear problems widely encountered in contemporary plasmas, but also in other fields of physics and current research on self-organized structures and magnetized plasma turbulence. The analyses make use of strongly nonlinear models solved by analytical techniques backed by extensive simulations and available experiments. The text is written for senior undergraduates, graduate students, lecturers and researchers in laboratory, space and fusion plasmas.