Discrete And Continuous Nonlinear Schrodinger Systems

Author : M. J. Ablowitz
Publisher : Cambridge University Press
ISBN 13 : 9780521534376
Total Pages : 276 pages
Book Rating : 4.72/5 ( download)

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Download or read book Discrete and Continuous Nonlinear Schrödinger Systems written by M. J. Ablowitz and published by Cambridge University Press. This book was released on 2004 with total page 276 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents a detailed mathematical analysis of scattering theory, obtains soliton solutions, and analyzes soliton interactions, both scalar and vector.

Author : Panayotis G. Kevrekidis
Publisher : Springer Science & Business Media
ISBN 13 : 3540891994
Total Pages : 417 pages
Book Rating : 4.94/5 ( download)

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Download or read book The Discrete Nonlinear Schrödinger Equation written by Panayotis G. Kevrekidis and published by Springer Science & Business Media. This book was released on 2009-07-07 with total page 417 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book constitutes the first effort to summarize a large volume of results obtained over the past 20 years in the context of the Discrete Nonlinear Schrödinger equation and the physical settings that it describes.

Author : Luis Vazquez
Publisher : World Scientific
ISBN 13 : 981454809X
Total Pages : 382 pages
Book Rating : 4.90/5 ( download)

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Download or read book Nonlinear Klein-gordon And Schrodinger Systems: Theory And Applications written by Luis Vazquez and published by World Scientific. This book was released on 1996-06-20 with total page 382 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is the first of two Euroconferences aimed at addressing the issues of Nonlinearity and Disorder. The 1995 Euroconference was devoted to the mathematical, numerical and experimental studies related to the Klein-Gordon and Schrödinger systems. The Euroconference was organized around main lectures in each area to introduce the main concepts and stimulate discussions. The mathematical studies covered the functional anlaysis and stochastic techniques applied to the general Klein-Gordon and Schrödinger wave equations. Also a panoramic view of the numerical schemes was presented to simulate the above equations, as well as an overview of the applications of such systems in the areas of condensed matter, optical physics, new materials and biophysics. Special attention was devoted to the discrete Schrödinger and Klein-Gordon systems and their applications.

Author : Andrei K. Abramian
Publisher : Springer Nature
ISBN 13 : 303053006X
Total Pages : 276 pages
Book Rating : 4.68/5 ( download)

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Download or read book Nonlinear Dynamics of Discrete and Continuous Systems written by Andrei K. Abramian and published by Springer Nature. This book was released on 2020-11-02 with total page 276 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book commemorates the 60th birthday of Dr. Wim van Horssen, a specialist in nonlinear dynamic and wave processes in solids, fluids and structures. In honor of Dr. Horssen’s contributions to the field, it presents papers discussing topics such as the current problems of the theory of nonlinear dynamic processes in continua and structures; applications, including discrete and continuous dynamic models of structures and media; and problems of asymptotic approaches.

Author : Kuppuswamy Porsezian
Publisher : CRC Press
ISBN 13 : 1351831100
Total Pages : 531 pages
Book Rating : 4.09/5 ( download)

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Download or read book Odyssey of Light in Nonlinear Optical Fibers written by Kuppuswamy Porsezian and published by CRC Press. This book was released on 2017-12-19 with total page 531 pages. Available in PDF, EPUB and Kindle. Book excerpt: Odyssey of Light in Nonlinear Optical Fibers: Theory and Applications presents a collection of breakthrough research portraying the odyssey of light from optical solitons to optical rogue waves in nonlinear optical fibers. The book provides a simple yet holistic view on the theoretical and application-oriented aspects of light, with a special focus on the underlying nonlinear phenomena. Exploring the very frontiers of light-wave technology, the text covers the basics of nonlinear fiberoptics and the dynamics of electromagnetic pulse propagation in nonlinear waveguides. It also highlights some of the latest advances in nonlinear optical fiber technology, discussing hidden symmetry reductions and Ablowitz–Kaup–Newell–Segur (AKNS) hierarchies for nonautonomous solitons, state-of-the-art Brillouin scattering applications, backpropagation, and the concept of eigenvalue communication—a powerful nonlinear digital signal processing technique that paves the way to overcome the current limitations of traditional communications methods in nonlinear fiber channels. Key chapters study the feasibility of the eigenvalue demodulation scheme based on digital coherent technology by throwing light on the experimental study of the noise tolerance of the demodulated eigenvalues, investigate matter wave solitons and other localized excitations pertaining to Bose–Einstein condensates in atom optics, and examine quantum field theory analogue effects occurring in binary waveguide arrays, plasmonic arrays, etc., as well as their ensuing nonlinear wave propagation. Featuring a foreword by Dr. Akira Hasegawa, the father of soliton communication systems, Odyssey of Light in Nonlinear Optical Fibers: Theory and Applications serves as a curtain raiser to usher in the photonics era. The technological innovations at the core of the book form the basis for the next generation of ultra-high speed computers and telecommunication devices.

Author : Yvette Kosmann-Schwarzbach
Publisher : Springer Science & Business Media
ISBN 13 : 9783540206309
Total Pages : 358 pages
Book Rating : 4.02/5 ( download)

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Download or read book Integrability of Nonlinear Systems written by Yvette Kosmann-Schwarzbach and published by Springer Science & Business Media. This book was released on 2004-02-17 with total page 358 pages. Available in PDF, EPUB and Kindle. Book excerpt: The lectures that comprise this volume constitute a comprehensive survey of the many and various aspects of integrable dynamical systems. The present edition is a streamlined, revised and updated version of a 1997 set of notes that was published as Lecture Notes in Physics, Volume 495. This volume will be complemented by a companion book dedicated to discrete integrable systems. Both volumes address primarily graduate students and nonspecialist researchers but will also benefit lecturers looking for suitable material for advanced courses and researchers interested in specific topics.

Author : Mark J. Ablowitz
Publisher : World Scientific
ISBN 13 : 9812382704
Total Pages : 438 pages
Book Rating : 4.02/5 ( download)

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Download or read book Proceedings of the Workshop Nonlinear Physics, Theory and Experiment, II written by Mark J. Ablowitz and published by World Scientific. This book was released on 2003 with total page 438 pages. Available in PDF, EPUB and Kindle. Book excerpt: The theory of solitons involves a broad variety of mathematical methods and appears in many areas of physics, technology, biology, and pure and applied mathematics. In this book, emphasis is placed on both theory (considering mathematical approaches for classical and quantum nonlinear systems ? both continuous and discrete) and experiment (with special discussions on high bit rate optical communications and pulse dynamics in optical materials).

Author : M J Ablowitz
Publisher : World Scientific
ISBN 13 : 9814486698
Total Pages : 440 pages
Book Rating : 4.99/5 ( download)

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Download or read book Nonlinear Physics written by M J Ablowitz and published by World Scientific. This book was released on 2003-04-08 with total page 440 pages. Available in PDF, EPUB and Kindle. Book excerpt: The theory of solitons involves a broad variety of mathematical methods and appears in many areas of physics, technology, biology, and pure and applied mathematics. In this book, emphasis is placed on both theory (considering mathematical approaches for classical and quantum nonlinear systems — both continuous and discrete) and experiment (with special discussions on high bit rate optical communications and pulse dynamics in optical materials). Contents: Analytical MethodsSymmetry Properties, Hamiltonian Methods and Group Theoretical MethodsAlgebraic and Geometrical MethodsNear Integrable Systems, Perturbative and Numerical MethodsApplications in Science and Technology Readership: Physicists and mathematicians. Keywords:Soliton Theory;Integrable Systems;Nonlinear Evolution Equation;Inverse Scattering Transform;Nonlinear Optics

Author :
Publisher :
ISBN 13 :
Total Pages : 728 pages
Book Rating : 4.13/5 ( download)

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Download or read book Discrete and Continuous Dynamical Systems written by and published by . This book was released on 2009 with total page 728 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Author : Boling Guo
Publisher : Walter de Gruyter GmbH & Co KG
ISBN 13 : 3110470578
Total Pages : 211 pages
Book Rating : 4.74/5 ( download)

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Download or read book Rogue Waves written by Boling Guo and published by Walter de Gruyter GmbH & Co KG. This book was released on 2017-06-26 with total page 211 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book gives an overview of the theoretical research on rogue waves and discusses solutions to rogue wave formation via the Darboux and bilinear transformations, algebro-geometric reduction, and inverse scattering and similarity transformations. Studies on nonlinear optics are included, making the book a comprehensive reference for researchers in applied mathematics, optical physics, geophysics, and ocean engineering. Contents The Research Process for Rogue Waves Construction of Rogue Wave Solution by the Generalized Darboux Transformation Construction of Rogue Wave Solution by Hirota Bilinear Method, Algebro-geometric Approach and Inverse Scattering Method The Rogue Wave Solution and Parameters Managing in Nonautonomous Physical Model