Discrete and Continuous Nonlinear Schrödinger Systems: 302 (London Mathematical Society Lecture Note Series, Series Number 302) - Softcover

Ablowitz, M. J.

Softcover

ISBN 10: 0521534372 ISBN 13: 9780521534376

Publisher: Cambridge University Press, 2003

Synopsis

In 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 Schrödinger 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.

About this title

Review

'... this valuable book provides a detailed and self-contained presentation of an extremely important tool used in the study of NLS systems.' EMS Newsletter

Book Description

In this book, first published in 2003, the detailed mathematical analysis of the scattering theory is presented, soliton solutions are obtained and soliton interactions, both scalar and vector, are analyzed. Many details presented, including aspects of the scattering theory, solution methodology, soliton solutions and vector soliton interactions were not available in the previously-published literature.

Edition details

• Publisher: Cambridge University Press
• Publication date: 2003
• Language: English
• ISBN 10: 0521534372
• ISBN 13: 9780521534376
• Binding: Paperback
• Number of pages: 268