Simple Search

Query:

Enter a query and click »Search«...

Format:

Display: entries per page entries

Zbl 0661.35001
Drazin, P.G.; Johnson, R.S.
Solitons: an introduction. (English)
[B] Cambridge Texts in Applied Mathematics. Cambridge etc.: Cambridge University Press. xii, 226 p. \sterling 32.50/hbk; \sterling 11.95/pbk; {\$} 59.50/hbk {\$} 19.95/pbk (1989). ISBN 0-521-33655-4/pbk; ISBN 0-521-33389-X/hbk

This is a well written and relatively simple textbook on the inverse scattering transform and related topics for senior undergraduate students. Basic attention is paid to the Korteweg-de Vries equation. Besides the inverse scattering transform proper (including its generalizations in the Ablowitz - Kaup - Newell - Segur and Zakharov - Shabat forms), some special issues, such as Hirota's method, the Bäcklund transformation, and the Painlevé property, are addressed. Each chapter is completed by useful exercises. In the end of the book, answers to those exercises are given.
[B.A.Malomed]

MSC 2000:: *35-01 Textbooks (partial differential equations)
35Q99 PDE of mathematical physics and other areas
35A30 Geometric theory for PDE, transformations

Keywords: inverse scattering transform; Korteweg-de Vries equation; Hirota's method; Bäcklund transformation; Painlevé property

Comment on this Item PDF MathML XML ASCII DVI PS BibTeX Online Ordering

	Scientific prize winners of the ICM 2010
	Overhang
	Lie groups, physics and geometry. An introduction for physicists, engineers and chemists.

Simple Search

Zentralblatt MATH Berlin [Germany]