This textbook is an introduction to the theory of solitons and its diverse applications to nonlinear systems that arise in the physical sciences. The authors explain the generation and properties of solitons, introducing the mathematical technique known as the Inverse Scattering Transform. Their aim...

Ausführliche Beschreibung

Bibliographische Detailangaben

1. Verfasser:	Drazin, P. G. (VerfasserIn)
Format:	Elektronisch E-Book
Sprache:	English
Veröffentlicht:	Cambridge Cambridge University Press 1989
Ausgabe:	Second edition
Schriftenreihe:	Cambridge texts in applied mathematics 2
Schlagworte:	Solitons Soliton Störungstheorie Partielle Differentialgleichung Algebraische Gleichung Approximationsalgorithmus Einführung
Online-Zugang:	BSB01 FHN01 Volltext
Zusammenfassung:	This textbook is an introduction to the theory of solitons and its diverse applications to nonlinear systems that arise in the physical sciences. The authors explain the generation and properties of solitons, introducing the mathematical technique known as the Inverse Scattering Transform. Their aim is to present the essence of inverse scattering clearly, rather than rigorously or completely. Thus, the prerequisites (i.e., partial differential equations, calculus of variations, Fourier integrals, linear waves and Sturm–Liouville theory), and more advanced material is explained in the text with useful references to further reading given at the end of each chapter. Worked examples are frequently used to help the reader follow the various ideas, and the exercises at the end of each chapter not only contain applications but also test understanding. Answers, or hints to the solution, are given at the end of the book. Sections and exercises that contain more difficult material are indicated by asterisks
Beschreibung:	Title from publisher's bibliographic system (viewed on 05 Oct 2015)
Beschreibung:	1 online resource (xii, 226 pages)
ISBN:	9781139172059
DOI:	10.1017/CBO9781139172059