| Discrete and Continuous Nonlinear Schrodinger Systems Contributor(s): Ablowitz, M. J. (Author), Prinari, B. (Author), Trubatch, A. D. (Author) |
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ISBN: 0521534372 ISBN-13: 9780521534376 Publisher: Cambridge University Press OUR PRICE: $96.90 Product Type: Paperback - Other Formats Published: January 2004 Annotation: 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 Schrodinger (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 Schrodinger systems. |
| Additional Information |
| BISAC Categories: - Mathematics | Differential Equations - General - Science | Waves & Wave Mechanics |
| Dewey: 530.124 |
| LCCN: 2003048555 |
| Series: London Mathematical Society Lecture Notes |
| Physical Information: 0.6" H x 5.9" W x 8.8" (0.75 lbs) 268 pages |
| Descriptions, Reviews, Etc. |
| Publisher Description: 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 Schrödinger (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 Schrödinger systems. |