Theory of Solitons
Author: S. Novikov
Publisher: Springer Science & Business Media
Published: 1984-05-31
Total Pages: 298
ISBN-13: 9780306109775
DOWNLOAD EBOOKPosts
Solitons and the Inverse Scattering Transform
Author: Mark J. Ablowitz
Publisher: SIAM
Published: 2006-05-15
Total Pages: 433
ISBN-13: 089871477X
DOWNLOAD EBOOKA 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.
Bäcklund Transformations, the Inverse Scattering Method, Solitons, and Their Applications
Author: Robert M. Miura
Publisher: Springer
Published: 2006-11-14
Total Pages: 302
ISBN-13: 3540382208
DOWNLOAD EBOOKProceedings of the NSF Research Workshop on Contact Transformations, Held in Nashville, Tennessee, 1974
Solitons, Nonlinear Evolution Equations and Inverse Scattering
Author: Mark J. Ablowitz
Publisher: Cambridge University Press
Published: 1991-12-12
Total Pages: 532
ISBN-13: 0521387302
DOWNLOAD EBOOKThis 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.
Solitons
Author: R.K. Bullough
Publisher: Springer Science & Business Media
Published: 2013-11-11
Total Pages: 403
ISBN-13: 3642814484
DOWNLOAD EBOOKWith contributions by numerous experts
Solitons
Author: P. G. Drazin
Publisher: Cambridge University Press
Published: 1989-02-09
Total Pages: 244
ISBN-13: 9780521336550
DOWNLOAD EBOOKThis textbook is an introduction to the theory of solitons in the physical sciences.
Introduction to non-Kerr Law Optical Solitons
Author: Anjan Biswas
Publisher: CRC Press
Published: 2006-11-10
Total Pages: 211
ISBN-13: 1420011405
DOWNLOAD EBOOKDespite remarkable developments in the field, a detailed treatment of non-Kerr law media has not been published. Introduction to non-Kerr Law Optical Solitons is the first book devoted exclusively to optical soliton propagation in media that possesses non-Kerr law nonlinearities. After an introduction to the basic features of fiber-optic com
Solitons
Author: Boling Guo
Publisher: Walter de Gruyter GmbH & Co KG
Published: 2018-03-19
Total Pages: 463
ISBN-13: 3110549417
DOWNLOAD EBOOKThis 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
Solutions In Action
Author: Karl Lanngren
Publisher: Elsevier
Published: 2012-12-02
Total Pages: 315
ISBN-13: 0323156444
DOWNLOAD EBOOKSolitons in Action is a collection of papers that discusses the concept of a wave packer or pulse known as a soliton. One paper reviews the development of the solitary wave concept, with emphasis on the difference between a solitary wave and a soliton. The Korteweg-deVries (KdV) equation shows the interactions between infinite sets of conservation laws and the inverse scattering transform method. The Backlund transform technique produces hierarchies of multisoliton solutions for nonlinear wave equations. The Gel-'fand-Levitan algorithm can effect an inverse scattering calculation that relates changes in the scattering data to changes in the solution of corresponding wave equation. One paper points out that concepts in differential geometry can show the fundamental nature of soliton behavior and the relationship between inverse scattering and the Backlund transformation. Solitons in action can be viewed as magnetic flux propagates through a gap (between two closely-spaced superconductors) in quantum units. This view results in a simplified procedure for perturbation expansions around multisoliton solutions. This collection can prove useful for researchers involved in the study of fluid mechanics, of pure and applied sciences, of mathematical sciences, and of wave theory.
Hill's Equation
Author: Wilhelm Magnus
Publisher: Courier Corporation
Published: 2013-10-29
Total Pages: 148
ISBN-13: 0486150291
DOWNLOAD EBOOKThis two-part treatment explains basic theory and details, including oscillatory solutions, intervals of stability and instability, discriminants, and coexistence. Particular attention to stability problems and coexistence of periodic solutions. 1966 edition.
