Nonlinear Dispersive Waves - Asymptotic Analysis and Solitons

Informationen zum Autor Mark J. Ablowitz is Professor of Applied Mathematics at the University of Colorado, Boulder. Klappentext Enables graduate students and researchers to understand and employ a wide variety of methods in applied mathematics. Zusammenfassung This book describes the underlying approximation techniques and methods for finding solutions to nonlinear wave equations. Many chapters include exercise sets. Graduate students and researchers will find this an excellent entry to a thriving area at the intersection of applied mathematics! engineering and physical science. Inhaltsverzeichnis Preface; Acknowledgements; Part I. Fundamentals and Basic Applications: 1. Introduction; 2. Linear and nonlinear wave equations; 3. Asymptotic analysis of wave equations; 4. Perturbation analysis; 5. Water waves and KdV type equations; 6. Nonlinear Schrödinger models and water waves; 7. Nonlinear Schrödinger models in nonlinear optics; Part II. Integrability and Solitons: 8. Solitons and integrable equations; 9. Inverse scattering transform for the KdV equation; Part III. Novel Applications of Nonlinear Waves: 10. Communications; 11. Mode-locked lasers; 12. Nonlinear photonic lattices; References; Index.

Product details

• Authors: Mark J Ablowitz, Mark J. Ablowitz, Mark J. (University of Colorado Ablowitz
• Publisher: Cambridge University Press ELT
• Languages: English
• Product format: Paperback / Softback
• Released: 08.09.2011
• EAN: 9781107664104
• ISBN: 978-1-107-66410-4
• No. of pages: 362
• Series: Cambridge Texts in Applied Mathematics; Cambridge Texts in Applied Mat; Cambridge Texts in Applied Mat; Cambridge Texts in Applied Mathematics
• Subject: Natural sciences, medicine, IT, technology > Mathematics > Miscellaneous