On the Darboux transformation. II.
Archivum Mathematicum (1995)
- Volume: 031, Issue: 2, page 121-138
- ISSN: 0044-8753
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topChrastinová, Veronika. "On the Darboux transformation. II.." Archivum Mathematicum 031.2 (1995): 121-138. <http://eudml.org/doc/247677>.
@article{Chrastinová1995,
abstract = {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.},
author = {Chrastinová, Veronika},
journal = {Archivum Mathematicum},
keywords = {diffiety; Darboux transformation; Monge system},
language = {eng},
number = {2},
pages = {121-138},
publisher = {Department of Mathematics, Faculty of Science of Masaryk University, Brno},
title = {On the Darboux transformation. II.},
url = {http://eudml.org/doc/247677},
volume = {031},
year = {1995},
}
TY - JOUR
AU - Chrastinová, Veronika
TI - On the Darboux transformation. II.
JO - Archivum Mathematicum
PY - 1995
PB - Department of Mathematics, Faculty of Science of Masaryk University, Brno
VL - 031
IS - 2
SP - 121
EP - 138
AB - 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.
LA - eng
KW - diffiety; Darboux transformation; Monge system
UR - http://eudml.org/doc/247677
ER -
References
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- Direct and inverse Scattering on the Line, Mathematical Surveys and Monographs 28, AMS 1988, pp. 171–180. MR0954382
- Darboux Transformations and Solitons, Springer Series in Nonlinear Dynamics, Springer Verlag 1991. MR1146435
- On the equivalence of variational problems II, Archivum Mathematicum (Brno) T. 29 (1993), 197–220. Zbl0821.49009MR1263122
- Preprint to the theory of diffieties, .
- Introduction into the geometry of nonlinear differential equations, (Russian), Moskva 1986.
- On the Darboux transformation I, Georgian Mathematical Journal Vol. 2, No. 3, 1995, 237–240. MR1334879
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