Mark J. Ablowitz, B. Prinari, D. Trubatch

Discrete and Continuous Nonlinear Schrodinger Systems

• Broschiertes Buch

Produktbeschreibung

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.

Produktdetails

• Verlag: Cambridge University Press
• Seitenzahl: 268
• Erscheinungstermin: 15. April 2013
• Englisch
• Abmessung: 229mm x 152mm x 17mm
• Gewicht: 440g
• ISBN-13: 9780521534376
• ISBN-10: 0521534372
• Artikelnr.: 21225083

Inhaltsangabe

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.