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Home > Education > Mathematics > Discrete and Continuous Nonlinear Schrödinger Systems

Discrete and Continuous Nonlinear Schrödinger Systems

by Ablowitz, M. J., Prinari, B., Trubatch, A. D.
 
 
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Discrete and Continuous Nonlinear Schrödinger Systems
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 Schr_dinger 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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Title of ebook: Discrete and Continuous Nonlinear Schrödinger Systems
ISBN: 9780511059261
parent-ISBN: 9780521534376
Publisher: Cambridge University Press
Internet download file size: 1679 kb
Pages: 268
Published: 12-1999
Released online for download: 12-23-1999
Author of eBook: Ablowitz, M. J.
Author of eBook: Prinari, B.
Author of eBook: Trubatch, A. D.
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