Solitons And The Inverse Scattering Transform

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Solitons and the Inverse Scattering Transform

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Author : Mark J. Ablowitz
Publisher : SIAM
ISBN 13 : 089871477X
Total Pages : 433 pages
Book Rating : 4.8/5 (987 download)

Book Synopsis Solitons and the Inverse Scattering Transform by : Mark J. Ablowitz

Download or read book Solitons and the Inverse Scattering Transform written by Mark J. Ablowitz and published by SIAM. This book was released on 2006-05-15 with total page 433 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Theory of Solitons

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Author : S. Novikov
Publisher : Springer Science & Business Media
ISBN 13 : 9780306109775
Total Pages : 298 pages
Book Rating : 4.1/5 (97 download)

Book Synopsis Theory of Solitons by : S. Novikov

Download or read book Theory of Solitons written by S. Novikov and published by Springer Science & Business Media. This book was released on 1984-05-31 with total page 298 pages. Available in PDF, EPUB and Kindle. Book excerpt:

The Inverse Scattering Transformation and The Theory of Solitons

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Author : W. Eckhaus
Publisher : Elsevier
ISBN 13 : 9780080871615
Total Pages : 221 pages
Book Rating : 4.8/5 (716 download)

Book Synopsis The Inverse Scattering Transformation and The Theory of Solitons by : W. Eckhaus

Download or read book The Inverse Scattering Transformation and The Theory of Solitons written by W. Eckhaus and published by Elsevier. This book was released on 2011-08-18 with total page 221 pages. Available in PDF, EPUB and Kindle. Book excerpt: The Inverse Scattering Transformation and The Theory of Solitons

The inverse scattering transformation and the theory of solitons

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Author : Wiktor Eckhaus
Publisher :
ISBN 13 : 9780444861665
Total Pages : 222 pages
Book Rating : 4.8/5 (616 download)

Book Synopsis The inverse scattering transformation and the theory of solitons by : Wiktor Eckhaus

Download or read book The inverse scattering transformation and the theory of solitons written by Wiktor Eckhaus and published by . This book was released on 1981 with total page 222 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Solitons In Multidimensions: Inverse Spectral Transform Method

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Author : B G Konopelchenko
Publisher : World Scientific
ISBN 13 : 9814518069
Total Pages : 304 pages
Book Rating : 4.8/5 (145 download)

Book Synopsis Solitons In Multidimensions: Inverse Spectral Transform Method by : B G Konopelchenko

Download or read book Solitons In Multidimensions: Inverse Spectral Transform Method written by B G Konopelchenko and published by World Scientific. This book was released on 1993-04-30 with total page 304 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

The Legacy of the Inverse Scattering Transform in Applied Mathematics

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Author : J. L. Bona
Publisher : American Mathematical Soc.
ISBN 13 : 0821831615
Total Pages : 338 pages
Book Rating : 4.8/5 (218 download)

Book Synopsis The Legacy of the Inverse Scattering Transform in Applied Mathematics by : J. L. Bona

Download or read book The Legacy of the Inverse Scattering Transform in Applied Mathematics written by J. L. Bona and published by American Mathematical Soc.. This book was released on 2002 with total page 338 pages. Available in PDF, EPUB and Kindle. Book excerpt: Swift progress and new applications characterize the area of solitons and the inverse scattering transform. There are rapid developments in current nonlinear optical technology: Larger intensities are more available; pulse widths are smaller; relaxation times and damping rates are less significant. In keeping with these advancements, exactly integrable soliton equations, such as $3$-wave resonant interactions and second harmonic generation, are becoming more and more relevant in experimental applications. Techniques are now being developed for using these interactions to frequency convert high intensity sources into frequency regimes where there are no lasers. Other experiments involve using these interactions to develop intense variable frequency sources, opening up even more possibilities. This volume contains new developments and state-of-the-art research arising from the conference on the ""Legacy of the Inverse Scattering Transform"" held at Mount Holyoke College (South Hadley, MA). Unique to this volume is the opening section, ""Reviews"". This part of the book provides reviews of major research results in the inverse scattering transform (IST), on the application of IST to classical problems in differential geometry, on algebraic and analytic aspects of soliton-type equations, on a new method for studying boundary value problems for integrable partial differential equations (PDEs) in two dimensions, on chaos in PDEs, on advances in multi-soliton complexes, and on a unified approach to integrable systems via Painleve analysis. This conference provided a forum for general exposition and discussion of recent developments in nonlinear waves and related areas with potential applications to other fields. The book will be of interest to graduate students and researchers interested in mathematics, physics, and engineering.

Solitons, Nonlinear Evolution Equations and Inverse Scattering

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Author : Mark J. Ablowitz
Publisher : Cambridge University Press
ISBN 13 : 0521387302
Total Pages : 532 pages
Book Rating : 4.5/5 (213 download)

Book Synopsis Solitons, Nonlinear Evolution Equations and Inverse Scattering by : Mark J. Ablowitz

Download or read book Solitons, Nonlinear Evolution Equations and Inverse Scattering written by Mark J. Ablowitz and published by Cambridge University Press. This book was released on 1991-12-12 with total page 532 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Solitons

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Author : Muthusamy Lakshmanan
Publisher : Springer Science & Business Media
ISBN 13 : 3642731937
Total Pages : 377 pages
Book Rating : 4.6/5 (427 download)

Book Synopsis Solitons by : Muthusamy Lakshmanan

Download or read book Solitons written by Muthusamy Lakshmanan and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 377 pages. Available in PDF, EPUB and Kindle. Book excerpt: A good deal of the material presented in this book has been prepared by top experts in the field lecturing in January 1987 at the Winter School on Solitons in Tiruchirapalli,India. The lectures begin at an elementary level but go on to include even the most recent developments in the field. The book makes a handy introduction to the various facets of the soliton concept, and will be useful both to newcomers to the field and to researchers who are interested in developments in new branches of physics and mathematics.

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
Publisher : World Scientific
ISBN 13 : 9813237953
Total Pages : 354 pages
Book Rating : 4.8/5 (132 download)

Book Synopsis Topics In Soliton Theory And Exactly Solvable Nonlinear Equations: Proceedings Of The Conference On Nonlinear Evolution Equations, Solitons And The Inverse Scattering Transform by : Mark J Ablowitz

Download or read book 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 published by World Scientific. This book was released on 1987-06-01 with total page 354 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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, Nonlinear Evolution Equations and Inverse Scattering

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Author : M. A. Ablowitz
Publisher :
ISBN 13 : 9781107366527
Total Pages : 532 pages
Book Rating : 4.3/5 (665 download)

Book Synopsis Solitons, Nonlinear Evolution Equations and Inverse Scattering by : M. A. Ablowitz

Download or read book Solitons, Nonlinear Evolution Equations and Inverse Scattering written by M. A. Ablowitz and published by . This book was released on 1991 with total page 532 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Bäcklund Transformations, the Inverse Scattering Method, Solitons, and Their Applications

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Author : Robert M. Miura
Publisher : Springer
ISBN 13 : 3540382208
Total Pages : 302 pages
Book Rating : 4.5/5 (43 download)

Book Synopsis Bäcklund Transformations, the Inverse Scattering Method, Solitons, and Their Applications by : Robert M. Miura

Download or read book Bäcklund Transformations, the Inverse Scattering Method, Solitons, and Their Applications written by Robert M. Miura and published by Springer. This book was released on 2006-11-14 with total page 302 pages. Available in PDF, EPUB and Kindle. Book excerpt: Proceedings of the NSF Research Workshop on Contact Transformations, Held in Nashville, Tennessee, 1974

Solitons

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Author : R.K. Bullough
Publisher : Springer Science & Business Media
ISBN 13 : 3642814484
Total Pages : 403 pages
Book Rating : 4.6/5 (428 download)

Book Synopsis Solitons by : R.K. Bullough

Download or read book Solitons written by R.K. Bullough and published by Springer Science & Business Media. This book was released on 2013-11-11 with total page 403 pages. Available in PDF, EPUB and Kindle. Book excerpt: With contributions by numerous experts

Solitons, Nonlinear Evolution Equations and Inverse Scattering

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Author : Mark J. Ablowitz
Publisher :
ISBN 13 : 9781107361614
Total Pages : 529 pages
Book Rating : 4.3/5 (616 download)

Book Synopsis Solitons, Nonlinear Evolution Equations and Inverse Scattering by : Mark J. Ablowitz

Download or read book Solitons, Nonlinear Evolution Equations and Inverse Scattering written by Mark J. Ablowitz and published by . This book was released on 1991 with total page 529 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Solitons in Physics, Mathematics, and Nonlinear Optics

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Author : Peter J. Olver
Publisher : Springer Science & Business Media
ISBN 13 : 1461390338
Total Pages : 220 pages
Book Rating : 4.4/5 (613 download)

Book Synopsis Solitons in Physics, Mathematics, and Nonlinear Optics by : Peter J. Olver

Download or read book Solitons in Physics, Mathematics, and Nonlinear Optics written by Peter J. Olver and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 220 pages. Available in PDF, EPUB and Kindle. Book excerpt: This IMA Volume in Mathematics and its Applications SOLITONS IN PHYSICS, MATHEMATICS, AND NONLINEAR OPTICS is based on the proceedings of two workshops which were an integral part of the 1988-89 IMA program on NONLINEAR WAVES. The workshops focussed on the main parts of the theory of solitons and on the applications of solitons in physics, biology and engineering, with a special concentration on nonlinear optics. We thank the Coordinating Committee: James Glimm, Daniel Joseph, Barbara Keyfitz, An Majda, Alan Newell, Peter Olver, David Sattinger and David Schaeffer for drew planning and implementing the stimulating year-long program. We especially thank the Workshop Organizers for Solitons in Physics and Mathematics, Alan Newell, Peter Olver, and David Sattinger, and for Nonlinear Optics and Plasma Physics, David Kaup and Yuji Kodama for their efforts in bringing together many of the major figures in those research fields in which solitons in physics, mathematics, and nonlinear optics theories are used. A vner Friedman Willard Miller, Jr. PREFACE This volume includes some of the lectures given at two workshops, "Solitons in Physics and Mathematics" and "Solitons in Nonlinear Optics and Plasma Physics" held during the 1988-89 LM. A. year on Nonlinear Waves. Since their discovery by Kruskal and Zabusky in the early 1960's, solitons have had a profound impact on many fields, ranging from engineering and physics to algebraic geometry.

Asymptotic Analysis of Soliton Problems

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Author : Peter Cornelis Schuur
Publisher : Springer
ISBN 13 : 3540473874
Total Pages : 188 pages
Book Rating : 4.5/5 (44 download)

Book Synopsis Asymptotic Analysis of Soliton Problems by : Peter Cornelis Schuur

Download or read book Asymptotic Analysis of Soliton Problems written by Peter Cornelis Schuur and published by Springer. This book was released on 2006-11-14 with total page 188 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Backlund Transformations, the Inverse Scattering Method, Solitons, and Their Applications

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Author : Robert M. Miura
Publisher :
ISBN 13 : 9783662205938
Total Pages : 308 pages
Book Rating : 4.2/5 (59 download)

Book Synopsis Backlund Transformations, the Inverse Scattering Method, Solitons, and Their Applications by : Robert M. Miura

Download or read book Backlund Transformations, the Inverse Scattering Method, Solitons, and Their Applications written by Robert M. Miura and published by . This book was released on 2014-01-15 with total page 308 pages. Available in PDF, EPUB and Kindle. Book excerpt:

孤立子、非线性发展方程和逆散射

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Author : M. J. Ablowitz
Publisher :
ISBN 13 : 9787506247009
Total Pages : 516 pages
Book Rating : 4.2/5 (47 download)

Book Synopsis 孤立子、非线性发展方程和逆散射 by : M. J. Ablowitz

Download or read book 孤立子、非线性发展方程和逆散射 written by M. J. Ablowitz and published by . This book was released on 2000 with total page 516 pages. Available in PDF, EPUB and Kindle. Book excerpt: 著者规范译名:克拉克斯。