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Author : Mark J. Ablowitz
Publisher : Cambridge University Press
Page : 532 pages
File Size : 34,31 MB
Release : 1991-12-12
Category : Mathematics
ISBN : 0521387302
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.
Author : M. J. Ablowitz
Publisher :
Page : 516 pages
File Size : 46,7 MB
Release : 2000
Category : Solitons
ISBN : 9787506247009
著者规范译名:克拉克斯。
Author : Mark J. Ablowitz
Publisher :
Page : 529 pages
File Size : 26,19 MB
Release : 1991
Category : MATHEMATICS
ISBN : 9781107361614
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.
Author : M. A. Ablowitz
Publisher :
Page : 532 pages
File Size : 20,64 MB
Release : 1991
Category : Electronic books
ISBN : 9781107366527
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.
Author : Mark J. Ablowitz
Publisher : SIAM
Page : 433 pages
File Size : 20,15 MB
Release : 2006-05-15
Category : Mathematics
ISBN : 089871477X
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.
Author : Mark J Ablowitz
Publisher : World Scientific
Page : 354 pages
File Size : 15,8 MB
Release : 1987-06-01
Category :
ISBN : 9813237953
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.
Author : Boling Guo
Publisher : Walter de Gruyter GmbH & Co KG
Page : 376 pages
File Size : 23,96 MB
Release : 2018-03-19
Category : Mathematics
ISBN : 3110549638
This book provides an up-to-date overview of mathematical theories and research results on solitons, presenting related mathematical methods and applications as well as numerical experiments. Different types of soliton equations are covered along with their dynamical behaviors and applications from physics, making the book an essential reference for researchers and graduate students in applied mathematics and physics. Contents Introduction Inverse scattering transform Asymptotic behavior to initial value problems for some integrable evolution nonlinear equations Interaction of solitons and its asymptotic properties Hirota method Bäcklund transformations and the infinitely many conservation laws Multi-dimensional solitons and their stability Numerical computation methods for some nonlinear evolution equations The geometric theory of solitons Global existence and blow up for the nonlinear evolution equations The soliton movements of elementary particles in nonlinear quantum field The theory of soliton movement of superconductive features The soliton movements in condensed state systemsontents
Author : V. O. Vakhnenko
Publisher : Cambridge Scholars Publishing
Page : 240 pages
File Size : 17,93 MB
Release : 2022-02-17
Category : Science
ISBN : 1527581470
This book shows that the physical phenomena and processes that take place in nature generally have complicated nonlinear features, which leads to nonlinear mathematical models for the real processes. It focuses on the practical issues involved here, as well as the development of methods to investigate the associated nonlinear mathematical problems, including nonlinear wave propagation. It acquaints the reader with a series of methods and approaches that can be applied to a wide class of nonlinear equations. The book also outlines a way in which an uninitiated reader could investigate a new nonlinear equation.
Author : Mathematisches Forschungsinstitut
Publisher :
Page : 25 pages
File Size : 38,78 MB
Release : 1993
Category :
ISBN :
Author : Mathematisches Forschungsinstitut
Publisher :
Page : 20 pages
File Size : 13,86 MB
Release : 1990
Category :
ISBN :