Discrete and Continuous Nonlinear Schrodinger Systems
(Book #302 in the London Mathematical Society Lecture Note Series)
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Over the past thirty years significant progress has been made in the investigation of nonlinear waves--including soliton equations, a class of nonlinear wave equations that arise frequently in such areas as nonlinear optics, fluid dynamics, and statistical physics. The broad interest in this field can be traced to understanding solitons and the associated development of a method of solution termed the inverse scattering transform (IST). The IST technique applies to continuous and discrete nonlinear Schr?dinger (NLS) equations of scalar and vector type. This work presents a detailed mathematical study of the scattering theory, offers soliton solutions, and analyzes both scalar and vector soliton interactions. The authors provide advanced students and researchers with a thorough and self-contained presentation of the IST as applied to nonlinear Schr?dinger systems.
Format:Paperback
Language:English
ISBN:0521534372
ISBN13:9780521534376
Release Date:January 2004
Publisher:Cambridge University Press
Length:268 Pages
Weight:0.75 lbs.
Dimensions:0.6" x 5.9" x 8.8"
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