ENGLISH

Discrete and Continuous Nonlinear Schrodinger systems

By B. Prinari , M. J. Ablowitz , A. D. Trubatch

Book information

Publisher
Cambridge University Press
Year
2004
ISBN
9780521534376, 0521534372
Open Library ID
OL7745068M
Language
english
Format
PDF
Filesize
931 kB (953312 bytes)
Series
London Mathematical Society Lecture Note Series
Pages
154\154
Topic
Physics
Library
mexmat
Time added
2009-07-20 03:45:11

Description

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 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 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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