Semiclassical Soliton Ensembles for the Focusing Nonlinear Schrodinger Equation (AM-154)

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Publisher : Princeton University Press
ISBN 13 : 069111482X
Total Pages : 281 pages
Book Rating : 4.6/5 (911 download)

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Book Synopsis Semiclassical Soliton Ensembles for the Focusing Nonlinear Schrodinger Equation (AM-154) by : Spyridon Kamvissis

Download or read book Semiclassical Soliton Ensembles for the Focusing Nonlinear Schrodinger Equation (AM-154) written by Spyridon Kamvissis and published by Princeton University Press. This book was released on 2003-09-07 with total page 281 pages. Available in PDF, EPUB and Kindle. Book excerpt: Providing an asymptotic analysis via completely integrable techniques, of the initial value problem for the focusing nonlinear Schrodinger equation in the semiclassical asymptotic regime, this text exploits complete integrability to establish pointwise asymptotics for this problem's solution.

Nonlinear Wave Equations

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Publisher : American Mathematical Soc.
ISBN 13 : 1470410508
Total Pages : 226 pages
Book Rating : 4.4/5 (74 download)

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Book Synopsis Nonlinear Wave Equations by : Christopher W. Curtis

Download or read book Nonlinear Wave Equations written by Christopher W. Curtis and published by American Mathematical Soc.. This book was released on 2015-03-26 with total page 226 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume contains the proceedings of the AMS Special Session on Nonlinear Waves and Integrable Systems, held on April 13-14, 2013, at the University of Colorado, Boulder, Colorado. The field of nonlinear waves is an exciting area of modern mathematical research that also plays a major role in many application areas from physics and fluids. The articles in this volume present a diverse cross section of topics from this field including work on the Inverse Scattering Transform, scattering theory, inverse problems, numerical methods for dispersive wave equations, and analytic and computational methods for free boundary problems. Significant attention to applications is also given throughout the articles with an extensive presentation on new results in the free surface problem in fluids. This volume will be useful to students and researchers interested in learning current techniques in studying nonlinear dispersive systems from both the integrable systems and computational points of view.

Issues in General and Specialized Mathematics Research: 2011 Edition

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Publisher : ScholarlyEditions
ISBN 13 : 1464964920
Total Pages : 1326 pages
Book Rating : 4.4/5 (649 download)

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Book Synopsis Issues in General and Specialized Mathematics Research: 2011 Edition by :

Download or read book Issues in General and Specialized Mathematics Research: 2011 Edition written by and published by ScholarlyEditions. This book was released on 2012-01-09 with total page 1326 pages. Available in PDF, EPUB and Kindle. Book excerpt: Issues in General and Specialized Mathematics Research: 2011 Edition is a ScholarlyEditions™ eBook that delivers timely, authoritative, and comprehensive information about General and Specialized Mathematics Research. The editors have built Issues in General and Specialized Mathematics Research: 2011 Edition on the vast information databases of ScholarlyNews.™ You can expect the information about General and Specialized Mathematics Research in this eBook to be deeper than what you can access anywhere else, as well as consistently reliable, authoritative, informed, and relevant. The content of Issues in General and Specialized Mathematics Research: 2011 Edition has been produced by the world’s leading scientists, engineers, analysts, research institutions, and companies. All of the content is from peer-reviewed sources, and all of it is written, assembled, and edited by the editors at ScholarlyEditions™ and available exclusively from us. You now have a source you can cite with authority, confidence, and credibility. More information is available at http://www.ScholarlyEditions.com/.

Proceedings

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Publisher :
ISBN 13 :
Total Pages : 526 pages
Book Rating : 4.3/5 (91 download)

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Book Synopsis Proceedings by :

Download or read book Proceedings written by and published by . This book was released on 2002 with total page 526 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Shaping Light in Nonlinear Optical Fibers

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Publisher : John Wiley & Sons
ISBN 13 : 1119088143
Total Pages : 522 pages
Book Rating : 4.1/5 (19 download)

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Book Synopsis Shaping Light in Nonlinear Optical Fibers by : Sonia Boscolo

Download or read book Shaping Light in Nonlinear Optical Fibers written by Sonia Boscolo and published by John Wiley & Sons. This book was released on 2017-03-08 with total page 522 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is a contemporary overview of selected topics in fiber optics. It focuses on the latest research results on light wave manipulation using nonlinear optical fibers, with the aim of capturing some of the most innovative developments on this topic. The book’s scope covers both fundamentals and applications from both theoretical and experimental perspectives, with topics including linear and nonlinear effects, pulse propagation phenomena and pulse shaping, solitons and rogue waves, novel optical fibers, supercontinuum generation, polarization management, optical signal processing, fiber lasers, optical wave turbulence, light propagation in disordered fiber media, and slow and fast light. With contributions from leading-edge scientists in the field of nonlinear photonics and fiber optics, they offer an overview of the latest advances in their own research area. The listing of recent research papers at the end of each chapter is useful for researchers using the book as a reference. As the book addresses fundamental and practical photonics problems, it will also be of interest to, and benefit, broader academic communities, including areas such as nonlinear science, applied mathematics and physics, and optical engineering. It offers the reader a wide and critical overview of the state-of-the-art within this practical – as well as fundamentally important and interesting – area of modern science, providing a useful reference which will encourage further research and advances in the field.

Recent Advances in Nonlinear Partial Differential Equations and Applications

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Publisher : American Mathematical Soc.
ISBN 13 : 0821842110
Total Pages : 250 pages
Book Rating : 4.8/5 (218 download)

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Book Synopsis Recent Advances in Nonlinear Partial Differential Equations and Applications by : Luis López Bonilla

Download or read book Recent Advances in Nonlinear Partial Differential Equations and Applications written by Luis López Bonilla and published by American Mathematical Soc.. This book was released on 2007 with total page 250 pages. Available in PDF, EPUB and Kindle. Book excerpt: The articles of this book are written by leading experts in partial differential equations and their applications, who present overviews here of recent advances in this broad area of mathematics. The formation of shocks in fluids, modern numerical computation of turbulence, the breaking of the Einstein equations in a vacuum, the dynamics of defects in crystals, effects due to entropy in hyperbolic conservation laws, the Navier-Stokes and other limits of the Boltzmann equation, occupancy times for Brownian motion in a two dimensional wedge, and new methods of analyzing and solving integrable systems are some of this volume's subjects. The reader will find an exposition of important advances without a lot of technicalities and with an emphasis on the basic ideas of this field.

Handbook of Dynamical Systems

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Publisher : Gulf Professional Publishing
ISBN 13 : 0080532845
Total Pages : 1099 pages
Book Rating : 4.0/5 (85 download)

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Book Synopsis Handbook of Dynamical Systems by : B. Fiedler

Download or read book Handbook of Dynamical Systems written by B. Fiedler and published by Gulf Professional Publishing. This book was released on 2002-02-21 with total page 1099 pages. Available in PDF, EPUB and Kindle. Book excerpt: This handbook is volume II in a series collecting mathematical state-of-the-art surveys in the field of dynamical systems. Much of this field has developed from interactions with other areas of science, and this volume shows how concepts of dynamical systems further the understanding of mathematical issues that arise in applications. Although modeling issues are addressed, the central theme is the mathematically rigorous investigation of the resulting differential equations and their dynamic behavior. However, the authors and editors have made an effort to ensure readability on a non-technical level for mathematicians from other fields and for other scientists and engineers. The eighteen surveys collected here do not aspire to encyclopedic completeness, but present selected paradigms. The surveys are grouped into those emphasizing finite-dimensional methods, numerics, topological methods, and partial differential equations. Application areas include the dynamics of neural networks, fluid flows, nonlinear optics, and many others.While the survey articles can be read independently, they deeply share recurrent themes from dynamical systems. Attractors, bifurcations, center manifolds, dimension reduction, ergodicity, homoclinicity, hyperbolicity, invariant and inertial manifolds, normal forms, recurrence, shift dynamics, stability, to namejust a few, are ubiquitous dynamical concepts throughout the articles.

Integrable Systems and Random Matrices

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Publisher : American Mathematical Soc.
ISBN 13 : 0821842404
Total Pages : 448 pages
Book Rating : 4.8/5 (218 download)

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Book Synopsis Integrable Systems and Random Matrices by : Jinho Baik

Download or read book Integrable Systems and Random Matrices written by Jinho Baik and published by American Mathematical Soc.. This book was released on 2008 with total page 448 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume contains the proceedings of a conference held at the Courant Institute in 2006 to celebrate the 60th birthday of Percy A. Deift. The program reflected the wide-ranging contributions of Professor Deift to analysis with emphasis on recent developments in Random Matrix Theory and integrable systems. The articles in this volume present a broad view on the state of the art in these fields. Topics on random matrices include the distributions and stochastic processes associated with local eigenvalue statistics, as well as their appearance in combinatorial models such as TASEP, last passage percolation and tilings. The contributions in integrable systems mostly deal with focusing NLS, the Camassa-Holm equation and the Toda lattice. A number of papers are devoted to techniques that are used in both fields. These techniques are related to orthogonal polynomials, operator determinants, special functions, Riemann-Hilbert problems, direct and inverse spectral theory. Of special interest is the article of Percy Deift in which he discusses some open problems of Random Matrix Theory and the theory of integrable systems.

Annals of Mathematics Studies

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Publisher :
ISBN 13 :
Total Pages : 296 pages
Book Rating : 4.:/5 (8 download)

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Book Synopsis Annals of Mathematics Studies by : Spyridon Kamvissis

Download or read book Annals of Mathematics Studies written by Spyridon Kamvissis and published by . This book was released on 1940 with total page 296 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Issues in Applied Mathematics: 2011 Edition

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Publisher : ScholarlyEditions
ISBN 13 : 1464965064
Total Pages : 864 pages
Book Rating : 4.4/5 (649 download)

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Book Synopsis Issues in Applied Mathematics: 2011 Edition by :

Download or read book Issues in Applied Mathematics: 2011 Edition written by and published by ScholarlyEditions. This book was released on 2012-01-09 with total page 864 pages. Available in PDF, EPUB and Kindle. Book excerpt: Issues in Applied Mathematics / 2011 Edition is a ScholarlyEditions™ eBook that delivers timely, authoritative, and comprehensive information about Applied Mathematics. The editors have built Issues in Applied Mathematics: 2011 Edition on the vast information databases of ScholarlyNews.™ You can expect the information about Applied Mathematics in this eBook to be deeper than what you can access anywhere else, as well as consistently reliable, authoritative, informed, and relevant. The content of Issues in Applied Mathematics: 2011 Edition has been produced by the world’s leading scientists, engineers, analysts, research institutions, and companies. All of the content is from peer-reviewed sources, and all of it is written, assembled, and edited by the editors at ScholarlyEditions™ and available exclusively from us. You now have a source you can cite with authority, confidence, and credibility. More information is available at http://www.ScholarlyEditions.com/.

Algebraic and Geometric Aspects of Integrable Systems and Random Matrices

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Author :
Publisher : American Mathematical Soc.
ISBN 13 : 0821887475
Total Pages : 363 pages
Book Rating : 4.8/5 (218 download)

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Book Synopsis Algebraic and Geometric Aspects of Integrable Systems and Random Matrices by : Anton Dzhamay

Download or read book Algebraic and Geometric Aspects of Integrable Systems and Random Matrices written by Anton Dzhamay and published by American Mathematical Soc.. This book was released on 2013-06-26 with total page 363 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume contains the proceedings of the AMS Special Session on Algebraic and Geometric Aspects of Integrable Systems and Random Matrices, held from January 6-7, 2012, in Boston, MA. The very wide range of topics represented in this volume illustrates

Numerical Methods for Hyperbolic and Kinetic Problems

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Publisher : European Mathematical Society
ISBN 13 : 9783037190128
Total Pages : 372 pages
Book Rating : 4.1/5 (91 download)

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Book Synopsis Numerical Methods for Hyperbolic and Kinetic Problems by : Stéphane Cordier

Download or read book Numerical Methods for Hyperbolic and Kinetic Problems written by Stéphane Cordier and published by European Mathematical Society. This book was released on 2005 with total page 372 pages. Available in PDF, EPUB and Kindle. Book excerpt: Hyperbolic and kinetic equations arise in a large variety of industrial problems. For this reason, the Summer Mathematical Research Center on Scientific Computing and its Applications (CEMRACS), held at the Center of International Research in Mathematics (CIRM) in Luminy, was devoted to this topic. During a six-week period, junior and senior researchers worked full time on several projects proposed by industry and academia. Most of this work was completed later on, and the present book reflects these results. The articles address modelling issues as well as the development and comparisons of numerical methods in different situations. The applications include multi-phase flows, plasma physics, quantum particle dynamics, radiative transfer, sprays, and aeroacoustics. The text is aimed at researchers and engineers interested in applications arising from modelling and numerical simulation of hyperbolic and kinetic problems.

Nonlinear Dispersive Equations

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Publisher : Springer Nature
ISBN 13 : 3030914275
Total Pages : 596 pages
Book Rating : 4.0/5 (39 download)

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Book Synopsis Nonlinear Dispersive Equations by : Christian Klein

Download or read book Nonlinear Dispersive Equations written by Christian Klein and published by Springer Nature. This book was released on 2021 with total page 596 pages. Available in PDF, EPUB and Kindle. Book excerpt: Nonlinear Dispersive Equations are partial differential equations that naturally arise in physical settings where dispersion dominates dissipation, notably hydrodynamics, nonlinear optics, plasma physics and Bose-Einstein condensates. The topic has traditionally been approached in different ways, from the perspective of modeling of physical phenomena, to that of the theory of partial differential equations, or as part of the theory of integrable systems. This monograph offers a thorough introduction to the topic, uniting the modeling, PDE and integrable systems approaches for the first time in book form. The presentation focuses on three "universal" families of physically relevant equations endowed with a completely integrable member: the Benjamin-Ono, Davey-Stewartson, and Kadomtsev-Petviashvili equations. These asymptotic models are rigorously derived and qualitative properties such as soliton resolution are studied in detail in both integrable and non-integrable models. Numerical simulations are presented throughout to illustrate interesting phenomena. By presenting and comparing results from different fields, the book aims to stimulate scientific interactions and attract new students and researchers to the topic. To facilitate this, the chapters can be read largely independently of each other and the prerequisites have been limited to introductory courses in PDE theory.

Physics Letters

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Publisher :
ISBN 13 :
Total Pages : 420 pages
Book Rating : 4.:/5 (44 download)

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Book Synopsis Physics Letters by :

Download or read book Physics Letters written by and published by . This book was released on 1999 with total page 420 pages. Available in PDF, EPUB and Kindle. Book excerpt: General physics, atomic physics, molecular physics, and solid state physics.

Singular Limits of Dispersive Waves

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Publisher : Springer Science & Business Media
ISBN 13 : 1461524741
Total Pages : 373 pages
Book Rating : 4.4/5 (615 download)

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Book Synopsis Singular Limits of Dispersive Waves by : N.M. Ercolani

Download or read book Singular Limits of Dispersive Waves written by N.M. Ercolani and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 373 pages. Available in PDF, EPUB and Kindle. Book excerpt: Proceedings of a NATO ARW and of a Chaos, Order, and Patterns Panel sponsored workshop held in Lyons, France, July 8-12, 1991

Theory of Solitons

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

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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:

Transport Equations in Biology

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Publisher : Springer Science & Business Media
ISBN 13 : 3764378425
Total Pages : 206 pages
Book Rating : 4.7/5 (643 download)

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Book Synopsis Transport Equations in Biology by : Benoît Perthame

Download or read book Transport Equations in Biology written by Benoît Perthame and published by Springer Science & Business Media. This book was released on 2006-12-14 with total page 206 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents models written as partial differential equations and originating from various questions in population biology, such as physiologically structured equations, adaptive dynamics, and bacterial movement. Its purpose is to derive appropriate mathematical tools and qualitative properties of the solutions. The book further contains many original PDE problems originating in biosciences.