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Solitons, Nonlinear Evolution Equations and Inverse Scattering

Mark J. Ablowitz
Solitons, Nonlinear Evolution Equations and Inverse Scattering by Mark J. Ablowitz PDF

Author : Mark J. Ablowitz
Publisher : Cambridge University Press
Page : 532 pages
File Size : 25,11 MB
Release : 1991-12-12
Category : Mathematics
ISBN : 0521387302

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This book will be a valuable addition to the growing literature in the area and essential reading for all researchers in the field of soliton theory.

Topics In Soliton Theory And Exactly Solvable Nonlinear Equations: Proceedings Of The Conference On Nonlinear Evolution Equations, Solitons And The Inverse Scattering Transform

Mark J Ablowitz
Topics In Soliton Theory And Exactly Solvable Nonlinear Equations: Proceedings Of The Conference On Nonlinear Evolution Equations, Solitons And The Inverse Scattering Transform by Mark J Ablowitz PDF

Author : Mark J Ablowitz
Publisher : World Scientific
Page : 354 pages
File Size : 34,78 MB
Release : 1987-06-01
Category :
ISBN : 9813237953

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The focus of this volume is to show how the various successful models of nuclear structure complement one another and can be realised as approximations, appropriate in different situations, to an underlying non-relativistic many-nucleon theory of nuclei.In common with the previous volume on Foundational Models, it starts with a broad survey of the relevant nuclear structure data and proceeds with two dominant themes. The first is to review the many-body theories and successful phenomenological models with collective and nucleon degrees of freedom. The second is to show how these models relate to the underlying many-nucleon shell model in its various coupling schemes.

Solitons and the Inverse Scattering Transform

Mark J. Ablowitz
Solitons and the Inverse Scattering Transform by Mark J. Ablowitz PDF

Author : Mark J. Ablowitz
Publisher : SIAM
Page : 433 pages
File Size : 13,21 MB
Release : 2006-05-15
Category : Mathematics
ISBN : 089871477X

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A study, by two of the major contributors to the theory, of the inverse scattering transform and its application to problems of nonlinear dispersive waves that arise in fluid dynamics, plasma physics, nonlinear optics, particle physics, crystal lattice theory, nonlinear circuit theory and other areas. A soliton is a localised pulse-like nonlinear wave that possesses remarkable stability properties. Typically, problems that admit soliton solutions are in the form of evolution equations that describe how some variable or set of variables evolve in time from a given state. The equations may take a variety of forms, for example, PDEs, differential difference equations, partial difference equations, and integrodifferential equations, as well as coupled ODEs of finite order. What is surprising is that, although these problems are nonlinear, the general solution that evolves from almost arbitrary initial data may be obtained without approximation.