an:00041946
Zbl 0661.35001
Drazin, P. G.; Johnson, R. S.
Solitons: an introduction
EN
Cambridge Texts in Applied Mathematics. Cambridge etc.: Cambridge University Press. xii, 226 p. \textsterling 32.50/hbk; \textsterling 11.95/pbk; {\$} 59.50/hbk {\$} 19.95/pbk (1989).
00413681
1989
b
35-01 35Q99 35A30
inverse scattering transform; Korteweg-de Vries equation; Hirota's method; B??cklund transformation; Painlev?? property
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 B??cklund transformation, and the Painlev?? 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