Format:
1 Online-Ressource (ix, 257 pages)
,
digital, PDF file(s).
ISBN:
9780511546709
Series Statement:
London Mathematical Society lecture note series 302
Content:
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.
Note:
Title from publisher's bibliographic system (viewed on 05 Oct 2015)
,
1. Introduction -- 2. Nonlinear Schrd̲inger equation (NLS) -- 3. Integrable discrete nonlinear Schrd̲inger equation (IDNLS) -- 4. Matrix nonlinear Schrd̲inger equation (MNLS) -- 5 Integrable discrete matrix NLS equation (IDMNLS).
Additional Edition:
ISBN 9780521534376
Additional Edition:
ISBN 9780521534376
Additional Edition:
ISBN 9780521534376
Additional Edition:
Erscheint auch als Ablowitz, Mark J., 1945 - Discrete and continuous nonlinear Schrödinger systems Cambridge [u.a.] : Cambridge University Press, 2004 ISBN 0521534372
Additional Edition:
Print version ISBN 9780521534376
Language:
English
Subjects:
Mathematics
Keywords:
Nichtlineare Schrödinger-Gleichung
;
Inverse Streutheorie
;
Nichtlineare Schrödinger-Gleichung
;
Inverse Streutheorie
DOI:
10.1017/CBO9780511546709
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