| Title:
|
On the Darboux transformation. II. (English) |
| Author:
|
Chrastinová, Veronika |
| Language:
|
English |
| Journal:
|
Archivum Mathematicum |
| ISSN:
|
0044-8753 (print) |
| ISSN:
|
1212-5059 (online) |
| Volume:
|
31 |
| Issue:
|
2 |
| Year:
|
1995 |
| Pages:
|
121-138 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
Automorphisms of the family of all Sturm-Liouville equations $y^{^{\prime \prime }}=qy$ are investigated. The classical Darboux transformation arises as a particular case of a general result. (English) |
| Keyword:
|
diffiety |
| Keyword:
|
Darboux transformation |
| Keyword:
|
Monge system |
| MSC:
|
34A25 |
| MSC:
|
34B24 |
| MSC:
|
58A10 |
| idZBL:
|
Zbl 0837.34015 |
| idMR:
|
MR1357980 |
| . |
| Date available:
|
2008-06-06T21:28:27Z |
| Last updated:
|
2012-05-10 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/107532 |
| . |
| Reference:
|
[1] Darboux, G.: Leçons sur la Théorie des Surfaces.Vol. 2, Gauthier-Villars, Paris, 2nd ed. 1915, pp. 162–175. |
| Reference:
|
[2] Beals, R., Deift, P., Tomei, C.: Direct and inverse Scattering on the Line.Mathematical Surveys and Monographs 28, AMS 1988, pp. 171–180. MR 0954382 |
| Reference:
|
[3] Matveev, V. B., Salle, M. A.: Darboux Transformations and Solitons.Springer Series in Nonlinear Dynamics, Springer Verlag 1991. MR 1146435 |
| Reference:
|
[4] Chrastina, J.: On the equivalence of variational problems II.Archivum Mathematicum (Brno) T. 29 (1993), 197–220. Zbl 0821.49009, MR 1263122 |
| Reference:
|
[5] Chrastina, J.: Preprint to the theory of diffieties.. |
| Reference:
|
[6] Vinogradov, A. M., Krasilščik, I. S., Lyčagin, V. V.: Introduction into the geometry of nonlinear differential equations.(Russian), Moskva 1986. |
| Reference:
|
[7] Chrastinov , V.: On the Darboux transformation I.Georgian Mathematical Journal Vol. 2, No. 3, 1995, 237–240. MR 1334879 |
| . |
