Discrete and Continuous Nonlinear Schroedinger Systems

Klappentext 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 Schrö dinger (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 Schrö dinger systems. Zusammenfassung This book presents a detailed mathematical analysis of scattering theory! obtains soliton solutions! and analyzes soliton interactions! both scalar and vector. Inhaltsverzeichnis 1. Introduction; 2. Nonlinear schrödinger equation (NLS); 3. Integrable discrete nonlinear schrödinger equation (IDNSL); 4. Matrix nonlinear Schrödinger equation (MNLS); 5. Integrable discrete matrix NLS equation (IDMNLS); Appendix A. Summation by parts formula; Appendix B. Transmission of the Jost function through a localized potential; Appendix C. Scattering theory for the discrete Schrödinger equation; Appendix D. Nonlinear Schrödinger systems with a potential term; Appendix E. NLS systems in the limit of large amplitudes.

Dettagli sul prodotto

• Autori: M J Ablowitz, M. J. Ablowitz, M. J. (University of Colorado Ablowitz, Mark J. Ablowitz, Mark J. Prinari Ablowitz, B. Prinari, B. (Universit... degli Studi di Lecce Prinari, B. (Universita degli Studi di Lecce Prinari, A. D. Trubatch, A. D. (United States Military Academy) Trubatch, D. Trubatch
• Editore: Cambridge University Press ELT
• Lingue: Inglese
• Formato: Tascabile
• Pubblicazione: 24.12.2003
• EAN: 9780521534376
• ISBN: 978-0-521-53437-6
• Pagine: 268
• Serie: London Mathematical Society Lecture Note Series; London Mathematical Society Le; London Mathematical Society Lecture Note Series
• Categoria: Scienze naturali, medicina, informatica, tecnica > Matematica > Analisi