Nonlinearity Integrability And All That Twenty Years After Needs 79 Proceedings Of The Workshop

Author : M. Boiti
Publisher : World Scientific
ISBN 13 : 9789810241476
Total Pages : 576 pages
Book Rating : 4.7X/5 ( download)

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Download or read book Proceedings of the Workshop on Nonlinearity, Integrability and All That--Twenty Years After NEEDS '79 written by M. Boiti and published by World Scientific. This book was released on 2000 with total page 576 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book discusses achievements in the last 20 years, recent developments and future perspectives in nonlinear science. Both continuous and discrete systems ? classical and quantum ? are considered.

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 : P. Tempesta, P. Winternitz, J. Harnad, W. Miller, Jr., G. Pogosyan, and M. Rodriguez
Publisher : American Mathematical Soc.
ISBN 13 : 9780821870327
Total Pages : 364 pages
Book Rating : 4.27/5 ( download)

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Download or read book Superintegrability in Classical and Quantum Systems written by P. Tempesta, P. Winternitz, J. Harnad, W. Miller, Jr., G. Pogosyan, and M. Rodriguez and published by American Mathematical Soc.. This book was released on with total page 364 pages. Available in PDF, EPUB and Kindle. Book excerpt: Superintegrable systems are integrable systems (classical and quantum) that have more integrals of motion than degrees of freedom. Such systems have many interesting properties. This title is based on the Workshop on Superintegrability in Classical and Quantum Systems organized by the Centre de Recherches Mathematiques in Montreal (Quebec).

Author :
Publisher :
ISBN 13 :
Total Pages : 1100 pages
Book Rating : 4.85/5 ( download)

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Download or read book Mathematical Reviews written by and published by . This book was released on 2001 with total page 1100 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Author : Vladimir Dorodnitsyn
Publisher : CRC Press
ISBN 13 : 9781420083101
Total Pages : 344 pages
Book Rating : 4.04/5 ( download)

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Download or read book Applications of Lie Groups to Difference Equations written by Vladimir Dorodnitsyn and published by CRC Press. This book was released on 2010-12-01 with total page 344 pages. Available in PDF, EPUB and Kindle. Book excerpt: Intended for researchers, numerical analysts, and graduate students in various fields of applied mathematics, physics, mechanics, and engineering sciences, Applications of Lie Groups to Difference Equations is the first book to provide a systematic construction of invariant difference schemes for nonlinear differential equations. A guide to methods

Author : Kuppuswamy Porsezian
Publisher : Springer
ISBN 13 : 3540361413
Total Pages : 411 pages
Book Rating : 4.11/5 ( download)

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Download or read book Optical Solitons written by Kuppuswamy Porsezian and published by Springer. This book was released on 2008-01-11 with total page 411 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Author : Decio Levi
Publisher : American Mathematical Society, Centre de Recherches Mathématiques
ISBN 13 : 0821843540
Total Pages : 520 pages
Book Rating : 4.43/5 ( download)

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Download or read book Continuous Symmetries and Integrability of Discrete Equations written by Decio Levi and published by American Mathematical Society, Centre de Recherches Mathématiques. This book was released on 2023-01-23 with total page 520 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book on integrable systems and symmetries presents new results on applications of symmetries and integrability techniques to the case of equations defined on the lattice. This relatively new field has many applications, for example, in describing the evolution of crystals and molecular systems defined on lattices, and in finding numerical approximations for differential equations preserving their symmetries. The book contains three chapters and five appendices. The first chapter is an introduction to the general ideas about symmetries, lattices, differential difference and partial difference equations and Lie point symmetries defined on them. Chapter 2 deals with integrable and linearizable systems in two dimensions. The authors start from the prototype of integrable and linearizable partial differential equations, the Korteweg de Vries and the Burgers equations. Then they consider the best known integrable differential difference and partial difference equations. Chapter 3 considers generalized symmetries and conserved densities as integrability criteria. The appendices provide details which may help the readers' understanding of the subjects presented in Chapters 2 and 3. This book is written for PhD students and early researchers, both in theoretical physics and in applied mathematics, who are interested in the study of symmetries and integrability of difference equations.

Author : Sergey Leble
Publisher : Springer
ISBN 13 : 3030226522
Total Pages : 288 pages
Book Rating : 4.27/5 ( download)

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Download or read book Waveguide Propagation of Nonlinear Waves written by Sergey Leble and published by Springer. This book was released on 2019-07-03 with total page 288 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book addresses the peculiarities of nonlinear wave propagation in waveguides and explains how the stratification depends on the waveguide and confinement. An example of this is an optical fibre that does not allow light to pass through a density jump. The book also discusses propagation in the nonlinear regime, which is characterized by a specific waveform and amplitude, to demonstrate so-called solitonic behaviour. In this case, a wave may be strongly localized, and propagates with a weak change in shape. In the waveguide case there are additional contributions of dispersion originating from boundary or asymptotic conditions. Offering concrete guidance on solving application problems, this essentially (more than twice) expanded second edition includes various aspects of guided propagation of nonlinear waves as well as new topics like solitonic behaviour of one-mode and multi-mode excitation and propagation and plasma waveguides, propagation peculiarities of electromagnetic waves in metamaterials, new types of dispersion, dissipation, electromagnetic waveguides, planetary waves and plasma waves interaction.The key feature of the solitonic behaviour is based on Coupled KdV and Coupled NS systems. The systems are derived in this book and solved numerically with the proof of stability and convergence. The domain wall dynamics of ferromagnetic microwaveguides and Bloch waves in nano-waveguides are also included with some problems of magnetic momentum and charge transport.

Author : Eric Loubeau
Publisher : American Mathematical Soc.
ISBN 13 : 0821849875
Total Pages : 296 pages
Book Rating : 4.73/5 ( download)

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Download or read book Harmonic Maps and Differential Geometry written by Eric Loubeau and published by American Mathematical Soc.. This book was released on 2011 with total page 296 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume contains the proceedings of a conference held in Cagliari, Italy, from September 7-10, 2009, to celebrate John C. Wood's 60th birthday. These papers reflect the many facets of the theory of harmonic maps and its links and connections with other topics in Differential and Riemannian Geometry. Two long reports, one on constant mean curvature surfaces by F. Pedit and the other on the construction of harmonic maps by J. C. Wood, open the proceedings. These are followed by a mix of surveys on Prof. Wood's area of expertise: Lagrangian surfaces, biharmonic maps, locally conformally Kahler manifolds and the DDVV conjecture, as well as several research papers on harmonic maps. Other research papers in the volume are devoted to Willmore surfaces, Goldstein-Pedrich flows, contact pairs, prescribed Ricci curvature, conformal fibrations, the Fadeev-Hopf model, the Compact Support Principle and the curvature of surfaces.