Discrete and Continuous Nonlinear Schrödinger Systems / M. J. Ablowitz, B. Prinari, A. D. Trubatch.
Material type:
TextSeries: London Mathematical Society Lecture Note Series ; no. 302Publisher: Cambridge : Cambridge University Press, 2003Description: 1 online resource (268 pages) : digital, PDF file(s)Content type: text Media type: computer Carrier type: online resourceISBN: 9780511546709 (ebook)Other title: Discrete & Continuous Nonlinear Schrödinger SystemsSubject(s): Schrèodinger equation | Nonlinear theories | Inverse scattering transformAdditional physical formats: Print version: : No titleDDC classification: 530.12/4 LOC classification: QC174.26.W28 | A26 2004Online resources: Click here to access online Summary: 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.
E-BOOKS
| Current library | Home library | Call number | Materials specified | URL | Status | Date due | Barcode |
|---|---|---|---|---|---|---|---|
| IMSc Library | IMSc Library | Link to resource | Available | EBK11983 |
Title from publisher's bibliographic system (viewed on 16 Oct 2015).
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.
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