The Inverse Scattering Transformation and The Theory of Solitons PDF Download
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Author: W. Eckhaus
Publisher: Elsevier
ISBN: 0080871615
Category : Mathematics
Languages : en
Pages : 235
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Book Description
The Inverse Scattering Transformation and The Theory of Solitons
Author: W. Eckhaus
Publisher: Elsevier
ISBN: 0080871615
Category : Mathematics
Languages : en
Pages : 235
Get Book Here
Book Description
The Inverse Scattering Transformation and The Theory of Solitons
Author: S. Novikov
Publisher: Springer Science & Business Media
ISBN: 9780306109775
Category : Mathematics
Languages : en
Pages : 298
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Book Description
Author: Wiktor Eckhaus
Publisher:
ISBN: 9780444861665
Category :
Languages : en
Pages : 222
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Book Description
Author: Mark J. Ablowitz
Publisher: SIAM
ISBN: 089871477X
Category : Mathematics
Languages : en
Pages : 433
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Book Description
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 localised 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.
Author: Robert M. Miura
Publisher: Springer
ISBN: 3540382208
Category : Mathematics
Languages : en
Pages : 302
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Book Description
Proceedings of the NSF Research Workshop on Contact Transformations, Held in Nashville, Tennessee, 1974
Author: Mark J. Ablowitz
Publisher: Cambridge University Press
ISBN: 0521387302
Category : Mathematics
Languages : en
Pages : 532
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Book Description
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.
Author: B G Konopelchenko
Publisher: World Scientific
ISBN: 9814518069
Category :
Languages : en
Pages : 304
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Book Description
The book is devoted to the mathematical theory of soliton phenomena on the plane. The inverse spectral transform method which is a main tool for the study of the (2+1)-dimensional soliton equation is reviewed. The ∂-problem and the Riemann-Hilbert problem method are discussed. Several basic examples of soliton equations are considered in detail. This volume is addressed both to the nonexpert and to the researcher in the field. This is the first literature dealing specifically with multidimensional solition equations.
Author: Chaohao Gu
Publisher: Springer Science & Business Media
ISBN: 3662031027
Category : Mathematics
Languages : en
Pages : 414
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Book Description
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.
Author: R.K. Bullough
Publisher: Springer Science & Business Media
ISBN: 3642814484
Category : Science
Languages : en
Pages : 403
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Book Description
With contributions by numerous experts
Author: P. G. Drazin
Publisher: Cambridge University Press
ISBN: 9780521336550
Category : Mathematics
Languages : en
Pages : 244
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Book Description
This textbook is an introduction to the theory of solitons in the physical sciences.
