Mathematical Theory Of Dispersion Managed Optical Solitons

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Mathematical Theory of Dispersion-Managed Optical Solitons

Anjan Biswas,Daniela Milovic,Matthew Edwards
Mathematical Theory of Dispersion Managed Optical Solitons Book PDF

Author : Anjan Biswas,Daniela Milovic,Matthew Edwards
Publisher : Springer Science & Business Media
Page : 170 pages
File Size : 50,9 Mb
Release : 2010-07-07
Category : Science
ISBN : 9783642102202

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Mathematical Theory of Dispersion-Managed Optical Solitons by Anjan Biswas,Daniela Milovic,Matthew Edwards Pdf

"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 Solitons: Theoretical Challenges and Industrial Perspectives

Vladimir E. Zakharov,Stefan Wabnitz
Optical Solitons Theoretical Challenges and Industrial Perspectives Book PDF

Author : Vladimir E. Zakharov,Stefan Wabnitz
Publisher : Springer Science & Business Media
Page : 392 pages
File Size : 43,7 Mb
Release : 2013-04-17
Category : Science
ISBN : 9783662038079

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Optical Solitons: Theoretical Challenges and Industrial Perspectives by Vladimir E. Zakharov,Stefan Wabnitz Pdf

1 2 V. E. Zakharov and S. Wabnitz 1 L. D. Landau Institute for Theoretical Physics, 2 Kosygin Str. , 117334 Moscow, Russia 2 Laboratoire de Physique, University of Bourgogne, 9 avenue A. Savary, 21078 Dijon, France After about a quarter of a century since the first theoretical predictions of op tical solitons, the industrial application of the optical soliton concept is near to reality in the booming field of modern telecommunications, where the de mand for high-speed data transmission and routing is of ever-growing. This book contains a set of lectures that were presented at a Les Houches school on optical solitons in September 1998. The school was successful in gathering among the lecturers most of the well-recognized world leaders in the field of optical solitons. A variety of different aspects of research into optical solitons was exposed in the lectures, ranging from the mathematical fundations of integrability theory to the rapidly evolving technological advances of fiber soliton-based telecommu nication systems. The overall impression that the participants and the students received from the school is that this field of research is an excellent example of the rapid transfer that occurs nowadays from basic science to the technological implementations of the first principles. The subjects that were covered by the lectures can be broadly grouped into four main categories: optical soliton the ory, fiber soliton telecommunications, optical soliton generation methods, and all-optical information processing via spatial solitons.

Solitons in Optical Fibers

Linn F. Mollenauer,James P. Gordon
Solitons in Optical Fibers Book PDF

Author : Linn F. Mollenauer,James P. Gordon
Publisher : Elsevier
Page : 296 pages
File Size : 51,5 Mb
Release : 2006-03-08
Category : Science
ISBN : 0080465064

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Solitons in Optical Fibers by Linn F. Mollenauer,James P. Gordon Pdf

Solitons are waves that retain their form through obstacle and distance. Solitons can be found in hydrodynamics, nonlinear optics, plasma physics, and biology. Optical solitons are solitary light waves that hold their form over an expansive interval. Conservation of this form creates an effective model for long distance voice and data transmission. The application of this principle is essential to the technology of wired communications. Optical solitons produce crystal clear phone calls cross-country and internationally. It is because of these that someone on the other end of the phone sounds 'in the next room.' It is also pertinent to high-speed network information transmittal. Mollenauer and Gordon have written the only text that an engineer or graduate student will need to understand this foundation subject in optics. *Written by Linn Mollenauer and James Gordon who are celebrated for applying optical solitons to telecommnications *Combines mathematical developments with well-chosen practical examples and design formulas *Extensive material on the basic physics of fiber optic transmission and its practical applications

Optical Solitons

J. R. Taylor
Optical Solitons Book PDF

Author : J. R. Taylor
Publisher : Cambridge University Press
Page : 474 pages
File Size : 45,7 Mb
Release : 1992-04-23
Category : Science
ISBN : 9780521405485

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Optical Solitons by J. R. Taylor Pdf

Provides an overview of our current understanding of optical soliton properties introducing the subject for students and reviewing the most recent research.

Optical Solitons in Fibers

Akira Hasegawa,Masayuki Matsumoto
Optical Solitons in Fibers Book PDF

Author : Akira Hasegawa,Masayuki Matsumoto
Publisher : Springer Science & Business Media
Page : 201 pages
File Size : 53,9 Mb
Release : 2012-11-02
Category : Science
ISBN : 9783540460640

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Optical Solitons in Fibers by Akira Hasegawa,Masayuki Matsumoto Pdf

Authored by internationally recognized experts on optical solitons, this book addresses the forefront of technology in the important field of optical communications. It deals with topics from the motion of light waves in optical fibres to the evolution of light wavepackets, and other applications.

Introduction to non-Kerr Law Optical Solitons

Anjan Biswas,Swapan Konar
Introduction to non Kerr Law Optical Solitons Book PDF

Author : Anjan Biswas,Swapan Konar
Publisher : CRC Press
Page : 211 pages
File Size : 40,7 Mb
Release : 2006-11-10
Category : Mathematics
ISBN : 9781420011401

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Introduction to non-Kerr Law Optical Solitons by Anjan Biswas,Swapan Konar Pdf

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

Hamiltonian Chaos Beyond the KAM Theory

Albert C. J. Luo,Valentin Afraimovich
Hamiltonian Chaos Beyond the KAM Theory Book PDF

Author : Albert C. J. Luo,Valentin Afraimovich
Publisher : Springer Science & Business Media
Page : 312 pages
File Size : 53,8 Mb
Release : 2011-01-04
Category : Science
ISBN : 9783642127182

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Hamiltonian Chaos Beyond the KAM Theory by Albert C. J. Luo,Valentin Afraimovich Pdf

“Hamiltonian Chaos Beyond the KAM Theory: Dedicated to George M. Zaslavsky (1935—2008)” covers the recent developments and advances in the theory and application of Hamiltonian chaos in nonlinear Hamiltonian systems. The book is dedicated to Dr. George Zaslavsky, who was one of three founders of the theory of Hamiltonian chaos. Each chapter in this book was written by well-established scientists in the field of nonlinear Hamiltonian systems. The development presented in this book goes beyond the KAM theory, and the onset and disappearance of chaos in the stochastic and resonant layers of nonlinear Hamiltonian systems are predicted analytically, instead of qualitatively. The book is intended for researchers in the field of nonlinear dynamics in mathematics, physics and engineering. Dr. Albert C.J. Luo is a Professor at Southern Illinois University Edwardsville, USA. Dr. Valentin Afraimovich is a Professor at San Luis Potosi University, Mexico.

Nonlinear Dispersive Waves

Mark J. Ablowitz
Nonlinear Dispersive Waves Book PDF

Author : Mark J. Ablowitz
Publisher : Cambridge University Press
Page : 363 pages
File Size : 51,5 Mb
Release : 2011-09-08
Category : Mathematics
ISBN : 9781139503488

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Nonlinear Dispersive Waves by Mark J. Ablowitz Pdf

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 Deformable-body Dynamics

Albert C. J. Luo
Nonlinear Deformable body Dynamics Book PDF

Author : Albert C. J. Luo
Publisher : Springer Science & Business Media
Page : 395 pages
File Size : 50,7 Mb
Release : 2011-06-08
Category : Science
ISBN : 9783642121364

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Nonlinear Deformable-body Dynamics by Albert C. J. Luo Pdf

"Nonlinear Deformable-body Dynamics" mainly consists in a mathematical treatise of approximate theories for thin deformable bodies, including cables, beams, rods, webs, membranes, plates, and shells. The intent of the book is to stimulate more research in the area of nonlinear deformable-body dynamics not only because of the unsolved theoretical puzzles it presents but also because of its wide spectrum of applications. For instance, the theories for soft webs and rod-reinforced soft structures can be applied to biomechanics for DNA and living tissues, and the nonlinear theory of deformable bodies, based on the Kirchhoff assumptions, is a special case discussed. This book can serve as a reference work for researchers and a textbook for senior and postgraduate students in physics, mathematics, engineering and biophysics. Dr. Albert C.J. Luo is a Professor of Mechanical Engineering at Southern Illinois University, Edwardsville, IL, USA. Professor Luo is an internationally recognized scientist in the field of nonlinear dynamics in dynamical systems and deformable solids.

Fractional Dynamics

Vasily E. Tarasov
Fractional Dynamics Book PDF

Author : Vasily E. Tarasov
Publisher : Springer Science & Business Media
Page : 504 pages
File Size : 54,6 Mb
Release : 2011-01-04
Category : Science
ISBN : 9783642140037

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Fractional Dynamics by Vasily E. Tarasov Pdf

"Fractional Dynamics: Applications of Fractional Calculus to Dynamics of Particles, Fields and Media" presents applications of fractional calculus, integral and differential equations of non-integer orders in describing systems with long-time memory, non-local spatial and fractal properties. Mathematical models of fractal media and distributions, generalized dynamical systems and discrete maps, non-local statistical mechanics and kinetics, dynamics of open quantum systems, the hydrodynamics and electrodynamics of complex media with non-local properties and memory are considered. This book is intended to meet the needs of scientists and graduate students in physics, mechanics and applied mathematics who are interested in electrodynamics, statistical and condensed matter physics, quantum dynamics, complex media theories and kinetics, discrete maps and lattice models, and nonlinear dynamics and chaos. Dr. Vasily E. Tarasov is a Senior Research Associate at Nuclear Physics Institute of Moscow State University and an Associate Professor at Applied Mathematics and Physics Department of Moscow Aviation Institute.

Long-range Interactions, Stochasticity and Fractional Dynamics

Albert C. J. Luo,Valentin Afraimovich
Long range Interactions Stochasticity and Fractional Dynamics Book PDF

Author : Albert C. J. Luo,Valentin Afraimovich
Publisher : Springer Science & Business Media
Page : 327 pages
File Size : 44,7 Mb
Release : 2011-01-04
Category : Science
ISBN : 9783642123436

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Long-range Interactions, Stochasticity and Fractional Dynamics by Albert C. J. Luo,Valentin Afraimovich Pdf

In memory of Dr. George Zaslavsky, "Long-range Interactions, Stochasticity and Fractional Dynamics" covers the recent developments of long-range interaction, fractional dynamics, brain dynamics and stochastic theory of turbulence, each chapter was written by established scientists in the field. The book is dedicated to Dr. George Zaslavsky, who was one of three founders of the theory of Hamiltonian chaos. The book discusses self-similarity and stochasticity and fractionality for discrete and continuous dynamical systems, as well as long-range interactions and diluted networks. A comprehensive theory for brain dynamics is also presented. In addition, the complexity and stochasticity for soliton chains and turbulence are addressed. The book is intended for researchers in the field of nonlinear dynamics in mathematics, physics and engineering. Dr. Albert C.J. Luo is a Professor at Southern Illinois University Edwardsville, USA. Dr. Valentin Afraimovich is a Professor at San Luis Potosi University, Mexico.

Approximate and Renormgroup Symmetries

N. Kh. Ibragimov,Vladimir F. Kovalev
Approximate and Renormgroup Symmetries Book PDF

Author : N. Kh. Ibragimov,Vladimir F. Kovalev
Publisher : Springer Science & Business Media
Page : 153 pages
File Size : 50,8 Mb
Release : 2009-11-14
Category : Mathematics
ISBN : 9783642002281

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Approximate and Renormgroup Symmetries by N. Kh. Ibragimov,Vladimir F. Kovalev Pdf

"Approximate and Renormgroup Symmetries" deals with approximate transformation groups, symmetries of integro-differential equations and renormgroup symmetries. It includes a concise and self-contained introduction to basic concepts and methods of Lie group analysis, and provides an easy-to-follow introduction to the theory of approximate transformation groups and symmetries of integro-differential equations. The book is designed for specialists in nonlinear physics - mathematicians and non-mathematicians - interested in methods of applied group analysis for investigating nonlinear problems in physical science and engineering. Dr. N.H. Ibragimov is a professor at the Department of Mathematics and Science, Research Centre ALGA, Sweden. He is widely regarded as one of the world's foremost experts in the field of symmetry analysis of differential equations; Dr. V. F. Kovalev is a leading scientist at the Institute for Mathematical Modeling, Russian Academy of Science, Moscow.

Discontinuous Dynamical Systems on Time-varying Domains

Albert C. J. Luo
Discontinuous Dynamical Systems on Time varying Domains Book PDF

Author : Albert C. J. Luo
Publisher : Springer Science & Business Media
Page : 234 pages
File Size : 53,5 Mb
Release : 2009-11-06
Category : Science
ISBN : 9783642002533

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Discontinuous Dynamical Systems on Time-varying Domains by Albert C. J. Luo Pdf

"Discontinuous Dynamical Systems on Time-varying Domains" is the first monograph focusing on this topic. While in the classic theory of dynamical systems the focus is on dynamical systems on time-invariant domains, this book presents discontinuous dynamical systems on time-varying domains where the corresponding switchability of a flow to the time-varying boundary in discontinuous dynamical systems is discussed. From such a theory, principles of dynamical system interactions without any physical connections are presented. Several discontinuous systems on time-varying domains are analyzed in detail to show how to apply the theory to practical problems. The book can serve as a reference book for researchers, advanced undergraduate and graduate students in mathematics, physics and mechanics. Dr. Albert C. J. Luo is a professor at Southern Illinois University Edwardsville, USA. His research is involved in the nonlinear theory of dynamical systems. His main contributions are in the following aspects: a stochastic and resonant layer theory in nonlinear Hamiltonian systems, singularity on discontinuous dynamical systems, and approximate nonlinear theories for a deformable-body.

Optical Solitons

Kuppuswamy Porsezian,Valakkattil Chako Kuriakose
Optical Solitons Book PDF

Author : Kuppuswamy Porsezian,Valakkattil Chako Kuriakose
Publisher : Springer
Page : 408 pages
File Size : 55,9 Mb
Release : 2014-10-05
Category : Science
ISBN : 3662143852

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Optical Solitons by Kuppuswamy Porsezian,Valakkattil Chako Kuriakose Pdf

Optical Solitons represent one of the most exciting and fascinating concepts in modern communications, arousing special interest due to their potential applications in optical fibre communication. This volume focuses on the explicit integration of analytical and experimental methods in nonlinear fibre optics and integrated optics. It covers all important recent technical issues in optical-soliton communication. For example, individual chapters are devoted to topics such as dispersion management and fibre Bragg grating. All authors are leading authorities in their fields.