Discrete and Continuous Nonlinear Schrodinger Systems
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Discrete and Continuous Nonlinear Schrodinger Systems by Mark J. Ablowitz
Book DescriptionIn recent years there have been important and far reaching developments in the study of nonlinear waves and a class of nonlinear wave equations which arise frequently in applications. The wide interest in this field comes from the understanding of special waves called 'solitons' and the associated development of a method of solution to a class of nonlinear wave equations termed the inverse scattering transform (IST). Before these developments, very little was known about the solutions to such 'soliton equations'. The IST technique applies to both continuous and discrete nonlinear Schrodinger equations of scalar and vector type. Also included is the IST for the Toda lattice and nonlinear ladder network, which are well-known discrete systems. This book, first published in 2003, presents the detailed mathematical analysis of the scattering theory; soliton solutions are obtained and soliton interactions, both scalar and vector, are analyzed. Much of the material is not available in the previously-published literature.
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Book DetailsISBN: 9780521534376
(228mm x 152mm x 15mm)
Imprint: Cambridge University Press
Publisher: Cambridge University Press
Publish Date: 24-Dec-2003
Country of Publication: United Kingdom
Books By Author Mark J. Ablowitz
Nonlinear Dispersive Waves, Paperback (August 2011)
Enables graduate students and researchers to understand and employ a wide variety of methods in applied mathematics.
Curve and Surface Reconstruction, Hardback (October 2006)
Develops the fundamentals for processing point data into a digital mode and presents algorithms for surface reconstruction.
Introduction to Parallel and Vector Scientific Computation, Paperback (August 2006)
In this introductory text, the fundamental algorithms of numerical linear algebra are developed in a parallel context.
Solitons and the Inverse Scattering Transform, Paperback (May 2006)» View all books by Mark J. Ablowitz
A study of the inverse scattering transform and its application to problems of nonlinear dispersive waves.
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