Discrete and Continuous Nonlinear Schrödinger Systems

Mark J. Ablowitz, B. Prinari, A. D. Trubatch - Collection London Mathematical Society Student Texts

257 pages, parution le 29/12/2003

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Résumé

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 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.

L'auteur - Mark J. Ablowitz

University of Colorado, Boulder

L'auteur - B. Prinari

Università di Lecce

L'auteur - A. D. Trubatch

United States Military Academy, West Point

Sommaire

Introduction
Nonlinear Schrödinger equation (NLS)
Integrable discrete nonlinear Schrödinger equation (IDNLS)
Matrix nonlinear Schrödinger equation (MNLS)
Integrable discrete matrix NLS equation (IDMNLS)
Appendices

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	PAPIER
Éditeur(s)	Cambridge University Press
Auteur(s)	Mark J. Ablowitz, B. Prinari, A. D. Trubatch
Collection	London Mathematical Society Student Texts
Parution	29/12/2003
Nb. de pages	257
Format	15 x 22,5
Couverture	Broché
Poids	360g
Intérieur	Noir et Blanc
EAN13	9780521534376
ISBN13	978-0-521-53437-6