Theory of Solitons
Author: S. Novikov
Publisher: Springer Science & Business Media
Published: 1984-05-31
Total Pages: 298
ISBN-13: 9780306109775
DOWNLOAD EBOOK →Lanterna Rally
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Solitons and the Inverse Scattering Transform
Author: Mark J. Ablowitz
Publisher: SIAM
Published: 2006-05-15
Total Pages: 433
ISBN-13: 089871477X
DOWNLOAD EBOOK →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.
The Inverse Scattering Transformation and The Theory of Solitons
Author: W. Eckhaus
Publisher: Elsevier
Published: 2011-08-18
Total Pages: 221
ISBN-13: 9780080871615
DOWNLOAD EBOOK →The Inverse Scattering Transformation and The Theory of Solitons
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 EBOOK →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.
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 EBOOK →Proceedings of the NSF Research Workshop on Contact Transformations, Held in Nashville, Tennessee, 1974
Solitons
Author: P. G. Drazin
Publisher: Cambridge University Press
Published: 1989-02-09
Total Pages: 244
ISBN-13: 9780521336550
DOWNLOAD EBOOK →This textbook is an introduction to the theory of solitons in the physical sciences.
Direct and Inverse Sturm-Liouville Problems
Author: Vladislav V. Kravchenko
Publisher: Birkhäuser
Published: 2020-08-18
Total Pages: 154
ISBN-13: 9783030478483
DOWNLOAD EBOOK →This book provides an introduction to the most recent developments in the theory and practice of direct and inverse Sturm-Liouville problems on finite and infinite intervals. A universal approach for practical solving of direct and inverse spectral and scattering problems is presented, based on the notion of transmutation (transformation) operators and their efficient construction. Analytical representations for solutions of Sturm-Liouville equations as well as for the integral kernels of the transmutation operators are derived in the form of functional series revealing interesting special features and lending themselves to direct and simple numerical solution of a wide variety of problems. The book is written for undergraduate and graduate students, as well as for mathematicians, physicists and engineers interested in direct and inverse spectral problems.
Solitons In Multidimensions: Inverse Spectral Transform Method
Author: B G Konopelchenko
Publisher: World Scientific
Published: 1993-04-30
Total Pages: 304
ISBN-13: 9814518069
DOWNLOAD EBOOK →The 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.
Solitons, Instantons, and Twistors
Author: Maciej Dunajski
Publisher: Oxford University Press
Published: 2010
Total Pages: 374
ISBN-13: 0198570627
DOWNLOAD EBOOK →A text aimed at third year undergraduates and graduates in mathematics and physics, presenting elementary twistor theory as a universal technique for solving differential equations in applied mathematics and theoretical physics.
Introduction to non-Kerr Law Optical Solitons
Author: Anjan Biswas
Publisher: CRC Press
Published: 2006-11-10
Total Pages: 162
ISBN-13: 1000738108
DOWNLOAD EBOOK →Despite 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
