Solitons In Physics Mathematics And Nonlinear Optics

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Solitons in Physics, Mathematics, and Nonlinear Optics

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

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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.

Solitons in Physics, Mathematics, and Nonlinear Optics

Author : Peter J. Olver
Publisher : Springer
ISBN 13 : 9780387973098
Total Pages : 215 pages
Book Rating : 4.9/5 (73 download)

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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. This book was released on 1990-06-26 with total page 215 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.

Introduction to non-Kerr Law Optical Solitons

Author : Anjan Biswas
Publisher : CRC Press
ISBN 13 : 1000738108
Total Pages : 162 pages
Book Rating : 4.0/5 (7 download)

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Book Synopsis Introduction to non-Kerr Law Optical Solitons by : Anjan Biswas

Download or read book Introduction to non-Kerr Law Optical Solitons written by Anjan Biswas and published by CRC Press. This book was released on 2006-11-10 with total page 162 pages. Available in PDF, EPUB and Kindle. Book excerpt: Despite remarkable developments in the field, a detailed treatment of non-Kerr law media has not been published. Introduction to non-Kerr Law Optical Solitons is the first book devoted exclusively to optical soliton propagation in media that possesses non-Kerr law nonlinearities. After an introduction to the basic features of fiber-optic com

The Versatile Soliton

Author : Alexandre T. Filippov
Publisher : Springer Science & Business Media
ISBN 13 : 0817649743
Total Pages : 275 pages
Book Rating : 4.8/5 (176 download)

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Book Synopsis The Versatile Soliton by : Alexandre T. Filippov

Download or read book The Versatile Soliton written by Alexandre T. Filippov and published by Springer Science & Business Media. This book was released on 2010-05-18 with total page 275 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this engaging book, the concept of the soliton is traced from the beginning of the last century to modern times with its recent applications.

Nonlinear Optics

Author : İlkay Bakırtaş
Publisher : BoD – Books on Demand
ISBN 13 : 1839626518
Total Pages : 260 pages
Book Rating : 4.8/5 (396 download)

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Book Synopsis Nonlinear Optics by : İlkay Bakırtaş

Download or read book Nonlinear Optics written by İlkay Bakırtaş and published by BoD – Books on Demand. This book was released on 2021-01-27 with total page 260 pages. Available in PDF, EPUB and Kindle. Book excerpt: With this book, we aim to capture different perspectives of researchers on nonlinear optics and optical devices and we intend to cover the latest developments in optics from theoretical, numerical, and experimental aspects. The eleven selected chapters cover a variety of topics related to nonlinear optics including bright, dark, kink solitary waves in various media, magnetic solitons, lattice solitons, rogue-waves, solid-state lasers, laser cladding, optical sensors, optical vortices, and molecular switches. The book is intended to draw the attention of scientists in academia, as well as researchers and engineers in industry, since the field has a significant potential for the production and design of novel optical devices and other technological applications.

Spatial Solitons

Author : Stefano Trillo
Publisher : Springer
ISBN 13 : 354044582X
Total Pages : 468 pages
Book Rating : 4.5/5 (44 download)

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Book Synopsis Spatial Solitons by : Stefano Trillo

Download or read book Spatial Solitons written by Stefano Trillo and published by Springer. This book was released on 2013-06-05 with total page 468 pages. Available in PDF, EPUB and Kindle. Book excerpt: Solitary wave physics plays a significant role from modern optical physics to optical communication, optical switching and optical storage. This book gives an updated overview of optical solitons, as a reference and guide for advanced students and scientists working in the field.

Soliton Theory and Its Applications

Author : Chaohao Gu
Publisher : Springer Science & Business Media
ISBN 13 : 3662031027
Total Pages : 414 pages
Book Rating : 4.6/5 (62 download)

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Book Synopsis Soliton Theory and Its Applications by : Chaohao Gu

Download or read book Soliton Theory and Its Applications written by Chaohao Gu and published by Springer Science & Business Media. This book was released on 2013-03-14 with total page 414 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Solitons and the Inverse Scattering Transform

Author : Mark J. Ablowitz
Publisher : SIAM
ISBN 13 : 9781611970883
Total Pages : 435 pages
Book Rating : 4.9/5 (78 download)

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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 1981-01-01 with total page 435 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 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.

Nonlinear Optics

Author : Alan Newell
Publisher : CRC Press
ISBN 13 : 0429971397
Total Pages : 447 pages
Book Rating : 4.4/5 (299 download)

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Book Synopsis Nonlinear Optics by : Alan Newell

Download or read book Nonlinear Optics written by Alan Newell and published by CRC Press. This book was released on 2018-05-04 with total page 447 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is about Nonlinear Optics, the study of how high-intensity light propagates through and interacts with matter. It takes the reader from the starting point of Maxwell's equations to some of the frontiers of modern research in the subject.

Solitons in Physics, Mathematics, and Nonlinear Optics

Author : Peter J. Olver
Publisher : Springer
ISBN 13 : 9780387973098
Total Pages : 215 pages
Book Rating : 4.9/5 (73 download)

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

Nonlinear Waves and Solitons on Contours and Closed Surfaces

Author : Andrei Ludu
Publisher : Springer Science & Business Media
ISBN 13 : 364222895X
Total Pages : 498 pages
Book Rating : 4.6/5 (422 download)

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Book Synopsis Nonlinear Waves and Solitons on Contours and Closed Surfaces by : Andrei Ludu

Download or read book Nonlinear Waves and Solitons on Contours and Closed Surfaces written by Andrei Ludu and published by Springer Science & Business Media. This book was released on 2012-01-14 with total page 498 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume is an introduction to nonlinear waves and soliton theory in the special environment of compact spaces such a closed curves and surfaces and other domain contours. It assumes familiarity with basic soliton theory and nonlinear dynamical systems. The first part of the book introduces the mathematical concept required for treating the manifolds considered, providing relevant notions from topology and differential geometry. An introduction to the theory of motion of curves and surfaces - as part of the emerging field of contour dynamics - is given. The second and third parts discuss the modeling of various physical solitons on compact systems, such as filaments, loops and drops made of almost incompressible materials thereby intersecting with a large number of physical disciplines from hydrodynamics to compact object astrophysics. This book is intended for graduate students and researchers in mathematics, physics and engineering. This new edition has been thoroughly revised, expanded and updated.

Nonlinear Optical Waves

Author : A.I. Maimistov
Publisher : Springer Science & Business Media
ISBN 13 : 9401724482
Total Pages : 668 pages
Book Rating : 4.4/5 (17 download)

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Book Synopsis Nonlinear Optical Waves by : A.I. Maimistov

Download or read book Nonlinear Optical Waves written by A.I. Maimistov and published by Springer Science & Business Media. This book was released on 2013-03-09 with total page 668 pages. Available in PDF, EPUB and Kindle. Book excerpt: A non-linear wave is one of the fundamental objects of nature. They are inherent to aerodynamics and hydrodynamics, solid state physics and plasma physics, optics and field theory, chemistry reaction kinetics and population dynamics, nuclear physics and gravity. All non-linear waves can be divided into two parts: dispersive waves and dissipative ones. The history of investigation of these waves has been lasting about two centuries. In 1834 J. S. Russell discovered the extraordinary type of waves without the dispersive broadening. In 1965 N. J. Zabusky and M. D. Kruskal found that the Korteweg-de Vries equation has solutions of the solitary wave form. This solitary wave demonstrates the particle-like properties, i. e. , stability under propagation and the elastic interaction under collision of the solitary waves. These waves were named solitons. In succeeding years there has been a great deal of progress in understanding of soliton nature. Now solitons have become the primary components in many important problems of nonlinear wave dynamics. It should be noted that non-linear optics is the field, where all soliton features are exhibited to a great extent. This book had been designed as the tutorial to the theory of non-linear waves in optics. The first version was projected as the book covering all the problems in this field, both analytical and numerical methods, and results as well. However, it became evident in the process of work that this was not a real task.

Mathematical Theory of Dispersion-Managed Optical Solitons

Author : Anjan Biswas
Publisher : Springer Science & Business Media
ISBN 13 : 3642102204
Total Pages : 170 pages
Book Rating : 4.6/5 (421 download)

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Book Synopsis Mathematical Theory of Dispersion-Managed Optical Solitons by : Anjan Biswas

Download or read book Mathematical Theory of Dispersion-Managed Optical Solitons written by Anjan Biswas and published by Springer Science & Business Media. This book was released on 2010-07-07 with total page 170 pages. Available in PDF, EPUB and Kindle. Book excerpt: "Mathematical Theory of Dispersion-Managed Optical Solitons" discusses recent advances covering optical solitons, soliton perturbation, optical cross-talk, Gabitov-Turitsyn Equations, quasi-linear pulses, and higher order Gabitov-Turitsyn Equations. Focusing on a mathematical perspective, the book bridges the gap between concepts in engineering and mathematics, and gives an outlook to many new topics for further research. The book is intended for researchers and graduate students in applied mathematics, physics and engineering and also it will be of interest to those who are conducting research in nonlinear fiber optics. Dr. Anjan Biswas is an Associate Professor at the Department of Applied Mathematics & Theoretical Physics, Delaware State University, Dover, DE, USA; Dr. Daniela Milovic is an Associate Professor at the Department of Telecommunications, Faculty of Electronic Engineering, University of Nis, Serbia; Dr. Matthew Edwards is the Dean of the School of Arts and Sciences at Alabama A & M University in Huntsville, AL, USA.

Optical Spatial Solitons in Photorefractive Materials

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Author : Aavishkar Katti
Publisher : Springer
ISBN 13 : 9789811625527
Total Pages : 169 pages
Book Rating : 4.6/5 (255 download)

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Book Synopsis Optical Spatial Solitons in Photorefractive Materials by : Aavishkar Katti

Download or read book Optical Spatial Solitons in Photorefractive Materials written by Aavishkar Katti and published by Springer. This book was released on 2022-06-02 with total page 169 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book highlights recent advances of optical spatial solitons in photorefractive materials ranging broadly from the coupling, modulation instability, effect of pyroelectricity, and the stability of photorefractive solitons, among other topics. Photorefractive solitons have been at the forefront of research because of their formation at low laser powers and unique saturable nonlinearity present in photorefractive materials which supports solitons in (2+1) D. There has been a spurt in research on photorefractive solitons recently, which has contributed to a greater understanding of the theoretical foundation of photorefractive solitons as also of their various interesting and practical applications. The book elucidates the diversity of photorefractive solitons and provides a good resource for students, researchers, and professionals in the area of nonlinear optics.

Basic Methods Of Soliton Theory

Author : Ivan V Cherednik
Publisher : World Scientific
ISBN 13 : 9814499005
Total Pages : 264 pages
Book Rating : 4.8/5 (144 download)

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Book Synopsis Basic Methods Of Soliton Theory by : Ivan V Cherednik

Download or read book Basic Methods Of Soliton Theory written by Ivan V Cherednik and published by World Scientific. This book was released on 1996-08-22 with total page 264 pages. Available in PDF, EPUB and Kindle. Book excerpt: In the 25 years of its existence Soliton Theory has drastically expanded our understanding of “integrability” and contributed a lot to the reunification of Mathematics and Physics in the range from deep algebraic geometry and modern representation theory to quantum field theory and optical transmission lines.The book is a systematic introduction to the Soliton Theory with an emphasis on its background and algebraic aspects. It is the first one devoted to the general matrix soliton equations, which are of great importance for the foundations and the applications.Differential algebra (local conservation laws, Bäcklund-Darboux transforms), algebraic geometry (theta and Baker functions), and the inverse scattering method (Riemann-Hilbert problem) with well-grounded preliminaries are applied to various equations including principal chiral fields, Heisenberg magnets, Sin-Gordon, and Nonlinear Schrödinger equation.

Nonlinear Dispersive Waves

Author : Mark J. Ablowitz
Publisher : Cambridge University Press
ISBN 13 : 1139503480
Total Pages : 363 pages
Book Rating : 4.1/5 (395 download)

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Book Synopsis Nonlinear Dispersive Waves by : Mark J. Ablowitz

Download or read book Nonlinear Dispersive Waves written by Mark J. Ablowitz and published by Cambridge University Press. This book was released on 2011-09-08 with total page 363 pages. Available in PDF, EPUB and Kindle. Book excerpt: The field of nonlinear dispersive waves has developed enormously since the work of Stokes, Boussinesq and Korteweg–de Vries (KdV) in the nineteenth century. In the 1960s, researchers developed effective asymptotic methods for deriving nonlinear wave equations, such as the KdV equation, governing a broad class of physical phenomena that admit special solutions including those commonly known as solitons. This book describes the underlying approximation techniques and methods for finding solutions to these and other equations. The concepts and methods covered include wave dispersion, asymptotic analysis, perturbation theory, the method of multiple scales, deep and shallow water waves, nonlinear optics including fiber optic communications, mode-locked lasers and dispersion-managed wave phenomena. Most chapters feature exercise sets, making the book suitable for advanced courses or for self-directed learning. Graduate students and researchers will find this an excellent entry to a thriving area at the intersection of applied mathematics, engineering and physical science.

Nonlinear Optics

Author : Boris Lembrikov
Publisher : BoD – Books on Demand
ISBN 13 : 1789851637
Total Pages : 156 pages
Book Rating : 4.7/5 (898 download)

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Book Synopsis Nonlinear Optics by : Boris Lembrikov

Download or read book Nonlinear Optics written by Boris Lembrikov and published by BoD – Books on Demand. This book was released on 2019-02-06 with total page 156 pages. Available in PDF, EPUB and Kindle. Book excerpt: Nonlinear optics is a rapidly developing field of modern physics. Nonlinear optical phenomena such as self-focusing, self-phase modulation, soliton formation and propagation, higher harmonic generation, different types of stimulated light scattering, and four-wave mixing have attracted interest from the fundamental point of view of the investigation of light/matter interaction, and as a basis for applications in contemporary optical communications and optical signal processing. Nonlinear Optics - Novel Results in Theory and Applications contains novel results concerning the mathematical methods of nonlinear optical phenomena analysis, soliton formation and propagation in optical fibers, and peculiarities of nonlinear optical phenomena in micro- and nanostructures. The book may be interesting for researchers and engineers interested in nonlinear optics, lasers, and optical communications.