From elementary algebra to Bäcklund transformations
Czechoslovak Mathematical Journal (1990)
- Volume: 40, Issue: 2, page 239-257
- ISSN: 0011-4642
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topChrastina, Jan. "From elementary algebra to Bäcklund transformations." Czechoslovak Mathematical Journal 40.2 (1990): 239-257. <http://eudml.org/doc/13848>.
@article{Chrastina1990,
author = {Chrastina, Jan},
journal = {Czechoslovak Mathematical Journal},
keywords = {symmetries; Bäcklund transformation; vector fields; differential forms; Frobenius theorem; Monge systems},
language = {eng},
number = {2},
pages = {239-257},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {From elementary algebra to Bäcklund transformations},
url = {http://eudml.org/doc/13848},
volume = {40},
year = {1990},
}
TY - JOUR
AU - Chrastina, Jan
TI - From elementary algebra to Bäcklund transformations
JO - Czechoslovak Mathematical Journal
PY - 1990
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 40
IS - 2
SP - 239
EP - 257
LA - eng
KW - symmetries; Bäcklund transformation; vector fields; differential forms; Frobenius theorem; Monge systems
UR - http://eudml.org/doc/13848
ER -
References
top- R. L. Anderson N. H. Ibragimov, Lie-Bäcklund Transformations in Applications, SIAM Philadelphia 1979. (1979) MR0520395
- M. J. Ablowitz M. Segur, Solitons and the Inverse Scattering Transform, SIAM Philadelphia 1981 (Russian transl. Moskva 1987). (1981) MR0642018
- J. Chrastina, On formal theory of differential equations, Časopis pro pěst. matem. Praha; Part I, vol. 111 (1986), 353-383; Part II, vol. 114 (1989), 60-105; Part III (to appear). (1986) Zbl0638.35008
- J. Chrastina, Formal Calculus of Variations on Fibered Manifolds, Folia UJEP Brno 1989, Mathematica 2. (1989) Zbl0696.49075MR1036730
- N. H. Ibragimov, Transformation Groups in Mathematical Physics, (Russian), Moskva, Nauka 1983. (1983) Zbl0529.53014MR0734307
- Ju. I. Manin, Algebraic aspects of nonlinear differential equations, (Russian), Itogi Nauki i Techniki VINITI Ser. Sovrem. Problemy matematiki 11 (1978), 5-152. (1978) MR0501136
- P. J. Olver, Applications of Groups to Differential Equations, Springer-Verlag 1986. (1986) MR0836734
- V. V. Sokolov, On the symmetries of evolutional equations, (Russian), Uspěchi matem. nauk 43, vyp. 5 (263) 1988, 133-163. (1988) MR0971467
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