Mkdv Solitons On The Background Of Quasi Periodic Finite Gap Solutions

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(m)KdV Solitons on the Background of Quasi-Periodic Finite-Gap Solutions

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Author : Fritz Gesztesy
Publisher : American Mathematical Soc.
ISBN 13 : 0821804065
Total Pages : 102 pages
Book Rating : 4.8/5 (218 download)

Book Synopsis (m)KdV Solitons on the Background of Quasi-Periodic Finite-Gap Solutions by : Fritz Gesztesy

Download or read book (m)KdV Solitons on the Background of Quasi-Periodic Finite-Gap Solutions written by Fritz Gesztesy and published by American Mathematical Soc.. This book was released on 1995 with total page 102 pages. Available in PDF, EPUB and Kindle. Book excerpt: In the introductory section, we review the formulation of the Korteweg-de Vries (KdV) equation and of the modified KdV (mKdV) equation as a compatibility condition for a Lax pair of linear operators. We then illustrate Miura's transformation, which maps solutions of the mKdV into solutions of the KdV. We then give a general overview of the concept of soliton solutions relative to general backgrounds, and of the single and double commutation methods. Finally, we present the main results of the article. To avoid the clutter of too many technical details, the paper is organized in four sections and five appendices.

Algebro-Geometric Quasi-Periodic Finite-Gap Solutions of the Toda and Kac-van Moerbeke Hierarchies

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Author : Wolfgang Bulla
Publisher : American Mathematical Soc.
ISBN 13 : 0821808087
Total Pages : 97 pages
Book Rating : 4.8/5 (218 download)

Book Synopsis Algebro-Geometric Quasi-Periodic Finite-Gap Solutions of the Toda and Kac-van Moerbeke Hierarchies by : Wolfgang Bulla

Download or read book Algebro-Geometric Quasi-Periodic Finite-Gap Solutions of the Toda and Kac-van Moerbeke Hierarchies written by Wolfgang Bulla and published by American Mathematical Soc.. This book was released on 1998 with total page 97 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this work, the authors provide a self-contained discussion of all real-valued quasi-periodic finite-gap solutions of the Toda and Kac-van Moerbeke hierarchies of completely integrable evolution equations. The approach utilizes algebro-geometric methods, factorization techniques for finite difference expressions, as well as Miura-type transformations. Detailed spectral theoretic properties of Lax pairs and theta function representations of the solutions are derived. Features: Simple and unified treatment of the topic. Self-contained development. Novel results for the Kac-van Moerbeke hierarchy and its algebro-geometric solutions.

Theory of Solitons

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

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:

Nonlinear Partial Differential Equations and Hyperbolic Wave Phenomena

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Author : Norske videnskaps-akademi. Research Program on Nonlinear Partial Differential Equations
Publisher : American Mathematical Soc.
ISBN 13 : 082184976X
Total Pages : 402 pages
Book Rating : 4.8/5 (218 download)

Book Synopsis Nonlinear Partial Differential Equations and Hyperbolic Wave Phenomena by : Norske videnskaps-akademi. Research Program on Nonlinear Partial Differential Equations

Download or read book Nonlinear Partial Differential Equations and Hyperbolic Wave Phenomena written by Norske videnskaps-akademi. Research Program on Nonlinear Partial Differential Equations and published by American Mathematical Soc.. This book was released on 2010-10-01 with total page 402 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume presents the state of the art in several directions of research conducted by renowned mathematicians who participated in the research program on Nonlinear Partial Differential Equations at the Centre for Advanced Study at the Norwegian Academy of Science and Letters, Oslo, Norway, during the academic year 2008-09. The main theme of the volume is nonlinear partial differential equations that model a wide variety of wave phenomena. Topics discussed include systems of conservation laws, compressible Navier-Stokes equations, Navier-Stokes-Korteweg type systems in models for phase transitions, nonlinear evolution equations, degenerate/mixed type equations in fluid mechanics and differential geometry, nonlinear dispersive wave equations (Korteweg-de Vries, Camassa-Holm type, etc.), and Poisson interface problems and level set formulations.

Operator Theory in Harmonic and Non-commutative Analysis

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Author : Joseph A. Ball
Publisher : Springer
ISBN 13 : 3319062662
Total Pages : 260 pages
Book Rating : 4.3/5 (19 download)

Book Synopsis Operator Theory in Harmonic and Non-commutative Analysis by : Joseph A. Ball

Download or read book Operator Theory in Harmonic and Non-commutative Analysis written by Joseph A. Ball and published by Springer. This book was released on 2014-06-21 with total page 260 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book contains the proceedings of the 23rd International Workshop on Operator Theory and its Applications (IWOTA 2012), which was held at the University of New South Wales (Sydney, Australia) from 16 July to 20 July 2012. It includes twelve articles presenting both surveys of current research in operator theory and original results.

Annales des télécommunications

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Author :
Publisher :
ISBN 13 :
Total Pages : 406 pages
Book Rating : 4.:/5 (334 download)

Book Synopsis Annales des télécommunications by :

Download or read book Annales des télécommunications written by and published by . This book was released on 1996-07 with total page 406 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Spectral Theory and Mathematical Physics: A Festschrift in Honor of Barry Simon's 60th Birthday

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Author : Fritz Gesztesy
Publisher : American Mathematical Soc.
ISBN 13 : 9780821842492
Total Pages : 472 pages
Book Rating : 4.8/5 (424 download)

Book Synopsis Spectral Theory and Mathematical Physics: A Festschrift in Honor of Barry Simon's 60th Birthday by : Fritz Gesztesy

Download or read book Spectral Theory and Mathematical Physics: A Festschrift in Honor of Barry Simon's 60th Birthday written by Fritz Gesztesy and published by American Mathematical Soc.. This book was released on 2007 with total page 472 pages. Available in PDF, EPUB and Kindle. Book excerpt: This Festschrift had its origins in a conference called SimonFest held at Caltech, March 27-31, 2006, to honor Barry Simon's 60th birthday. It is not a proceedings volume in the usual sense since the emphasis of the majority of the contributions is on reviews of the state of the art of certain fields, with particular focus on recent developments and open problems. The bulk of the articles in this Festschrift are of this survey form, and a few review Simon's contributions to aparticular area. Part 1 contains surveys in the areas of Quantum Field Theory, Statistical Mechanics, Nonrelativistic Two-Body and $N$-Body Quantum Systems, Resonances, Quantum Mechanics with Electric and Magnetic Fields, and the Semiclassical Limit. Part 2 contains surveys in the areas of Random andErgodic Schrodinger Operators, Singular Continuous Spectrum, Orthogonal Polynomials, and Inverse Spectral Theory. In several cases, this collection of surveys portrays both the history of a subject and its current state of the art. A substantial part of the contributions to this Festschrift are survey articles on the state of the art of certain areas with special emphasis on open problems. This will benefit graduate students as well as researchers who want to get a quick, yet comprehensiveintroduction into an area covered in this volume.

Spectral Analysis, Differential Equations and Mathematical Physics: A Festschrift in Honor of Fritz Gesztesy's 60th Birthday

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Author : Helge Holden
Publisher : American Mathematical Soc.
ISBN 13 : 0821875744
Total Pages : 409 pages
Book Rating : 4.8/5 (218 download)

Book Synopsis Spectral Analysis, Differential Equations and Mathematical Physics: A Festschrift in Honor of Fritz Gesztesy's 60th Birthday by : Helge Holden

Download or read book Spectral Analysis, Differential Equations and Mathematical Physics: A Festschrift in Honor of Fritz Gesztesy's 60th Birthday written by Helge Holden and published by American Mathematical Soc.. This book was released on 2013-07-08 with total page 409 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume contains twenty contributions in the area of mathematical physics where Fritz Gesztesy made profound contributions. There are three survey papers in spectral theory, differential equations, and mathematical physics, which highlight, in particu

Differential and Integral Equations

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Author :
Publisher :
ISBN 13 :
Total Pages : 800 pages
Book Rating : 4.3/5 (91 download)

Book Synopsis Differential and Integral Equations by :

Download or read book Differential and Integral Equations written by and published by . This book was released on 2001 with total page 800 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Mathematical Reviews

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Publisher :
ISBN 13 :
Total Pages : 1226 pages
Book Rating : 4.3/5 (91 download)

Book Synopsis Mathematical Reviews by :

Download or read book Mathematical Reviews written by and published by . This book was released on 2008 with total page 1226 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Physics Briefs

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Author :
Publisher :
ISBN 13 :
Total Pages : 1118 pages
Book Rating : 4.3/5 (91 download)

Book Synopsis Physics Briefs by :

Download or read book Physics Briefs written by and published by . This book was released on 1994 with total page 1118 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Journal of the Physical Society of Japan

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Author :
Publisher :
ISBN 13 :
Total Pages : 702 pages
Book Rating : 4.6/5 (157 download)

Book Synopsis Journal of the Physical Society of Japan by :

Download or read book Journal of the Physical Society of Japan written by and published by . This book was released on 2002 with total page 702 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Nonlinearity

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Author :
Publisher :
ISBN 13 :
Total Pages : 850 pages
Book Rating : 4.3/5 (21 download)

Book Synopsis Nonlinearity by :

Download or read book Nonlinearity written by and published by . This book was released on 2009-04 with total page 850 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Important Developments in Soliton Theory

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Author : A.S. Fokas
Publisher : Springer Science & Business Media
ISBN 13 : 3642580459
Total Pages : 563 pages
Book Rating : 4.6/5 (425 download)

Book Synopsis Important Developments in Soliton Theory by : A.S. Fokas

Download or read book Important Developments in Soliton Theory written by A.S. Fokas and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 563 pages. Available in PDF, EPUB and Kindle. Book excerpt: In the last ten to fifteen years there have been many important developments in the theory of integrable equations. This period is marked in particular by the strong impact of soliton theory in many diverse areas of mathematics and physics; for example, algebraic geometry (the solution of the Schottky problem), group theory (the discovery of quantum groups), topology (the connection of Jones polynomials with integrable models), and quantum gravity (the connection of the KdV with matrix models). This is the first book to present a comprehensive overview of these developments. Numbered among the authors are many of the most prominent researchers in the field.

Rogue Waves in the Ocean

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Author : Christian Kharif
Publisher : Springer Science & Business Media
ISBN 13 : 354088419X
Total Pages : 222 pages
Book Rating : 4.5/5 (48 download)

Book Synopsis Rogue Waves in the Ocean by : Christian Kharif

Download or read book Rogue Waves in the Ocean written by Christian Kharif and published by Springer Science & Business Media. This book was released on 2008-12-11 with total page 222 pages. Available in PDF, EPUB and Kindle. Book excerpt: “It came from nowhere, snapping giant ships in two. No one believed the survivors . . . until now” —New Scientist magazine cover, June 30, 2001 Rogue waves are the focus of this book. They are among the waves naturally - served by people on the sea surface that represent an inseparable feature of the Ocean. Rogue waves appear from nowhere, cause danger, and disappear at once. They may occur on the surface of a relatively calm sea and not reach very high amplitudes, but still be fatal for ships and crew due to their unexpectedness and abnormal features. Seamen are known to be unsurpassed authors of exciting and horrifying stories about the sea and sea waves. This could explain why, despite the increasing number of documented cases, that sailors’ observations of “walls of - ter” have been considered ctitious for a while. These stories are now addressed again due to the amount of doubtless evidence of the existence of the phenomenon, but still without suf cient information to - able interested researchers and engineers to completely understand it. The billows appear suddenly, exceeding the surrounding waves by two times their size and more, and obtaining many names: abnormal, exceptional, extreme, giant, huge, s- den, episodic, freak, monster, rogue, vicious, killer, mad- or rabid-dog waves, cape rollers, holes in the sea, walls of water, three sisters, etc.

What Is Integrability?

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Author : Vladimir E. Zakharov
Publisher : Springer Science & Business Media
ISBN 13 : 3642887031
Total Pages : 339 pages
Book Rating : 4.6/5 (428 download)

Book Synopsis What Is Integrability? by : Vladimir E. Zakharov

Download or read book What Is Integrability? written by Vladimir E. Zakharov and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 339 pages. Available in PDF, EPUB and Kindle. Book excerpt: The idea of devoting a complete book to this topic was born at one of the Workshops on Nonlinear and Turbulent Processes in Physics taking place reg ularly in Kiev. With the exception of E. D. Siggia and N. Ercolani, all authors of this volume were participants at the third of these workshops. All of them were acquainted with each other and with each other's work. Yet it seemed to be somewhat of a discovery that all of them were and are trying to understand the same problem - the problem of integrability of dynamical systems, primarily Hamiltonian ones with an infinite number of degrees of freedom. No doubt that they (or to be more exact, we) were led to this by the logical process of scientific evolution which often leads to independent, almost simultaneous discoveries. Integrable, or, more accurately, exactly solvable equations are essential to theoretical and mathematical physics. One could say that they constitute the "mathematical nucleus" of theoretical physics whose goal is to describe real clas sical or quantum systems. For example, the kinetic gas theory may be considered to be a theory of a system which is trivially integrable: the system of classical noninteracting particles. One of the main tasks of quantum electrodynamics is the development of a theory of an integrable perturbed quantum system, namely, noninteracting electromagnetic and electron-positron fields.

Solitons in Mathematics and Physics

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Author : Alan C. Newell
Publisher : SIAM
ISBN 13 : 0898711967
Total Pages : 259 pages
Book Rating : 4.8/5 (987 download)

Book Synopsis Solitons in Mathematics and Physics by : Alan C. Newell

Download or read book Solitons in Mathematics and Physics written by Alan C. Newell and published by SIAM. This book was released on 1985-06-01 with total page 259 pages. Available in PDF, EPUB and Kindle. Book excerpt: A discussion of the soliton, focusing on the properties that make it physically ubiquitous and the soliton equation mathematically miraculous.