The Inverse Scattering Transformation and The Theory of Solitons
Author: W. Eckhaus
Publisher: Elsevier
Published: 2011-08-18
Total Pages: 235
ISBN-13: 0080871615
DOWNLOAD EBOOKThe Inverse Scattering Transformation and The Theory of Solitons
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Author: W. Eckhaus
Publisher: Elsevier
Published: 2011-08-18
Total Pages: 235
ISBN-13: 0080871615
DOWNLOAD EBOOKThe Inverse Scattering Transformation and The Theory of Solitons
Author: S. Novikov
Publisher: Springer Science & Business Media
Published: 1984-05-31
Total Pages: 298
ISBN-13: 9780306109775
DOWNLOAD EBOOKAuthor: Wiktor Eckhaus
Publisher:
Published: 1981
Total Pages: 222
ISBN-13: 9780444861665
DOWNLOAD EBOOKAuthor: 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.
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
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.
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
Author: B G Konopelchenko
Publisher: World Scientific
Published: 1993-04-30
Total Pages: 304
ISBN-13: 9814518069
DOWNLOAD EBOOKThe book is devoted to the mathematical theory of soliton phenomena on the plane. The inverse spectral transform method which is a main tool for the study of the (2+1)-dimensional soliton equation is reviewed. The ∂-problem and the Riemann-Hilbert problem method are discussed. Several basic examples of soliton equations are considered in detail. This volume is addressed both to the nonexpert and to the researcher in the field. This is the first literature dealing specifically with multidimensional solition equations.
Author: Chaohao Gu
Publisher: Springer Science & Business Media
Published: 2013-03-14
Total Pages: 414
ISBN-13: 3662031027
DOWNLOAD EBOOKSoliton theory is an important branch of applied mathematics and mathematical physics. An active and productive field of research, it has important applications in fluid mechanics, nonlinear optics, classical and quantum fields theories etc. This book presents a broad view of soliton theory. It gives an expository survey of the most basic ideas and methods, such as physical background, inverse scattering, Backlünd transformations, finite-dimensional completely integrable systems, symmetry, Kac-moody algebra, solitons and differential geometry, numerical analysis for nonlinear waves, and gravitational solitons. Besides the essential points of the theory, several applications are sketched and some recent developments, partly by the authors and their collaborators, are presented.
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.