From elementary algebra to Bäcklund transformations

Jan Chrastina

Czechoslovak Mathematical Journal (1990)

  • Volume: 40, Issue: 2, page 239-257
  • ISSN: 0011-4642

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Chrastina, 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

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  1. R. L. Anderson N. H. Ibragimov, Lie-Bäcklund Transformations in Applications, SIAM Philadelphia 1979. (1979) Zbl0447.58001MR0520395
  2. M. J. Ablowitz M. Segur, Solitons and the Inverse Scattering Transform, SIAM Philadelphia 1981 (Russian transl. Moskva 1987). (1981) Zbl0472.35002MR0642018
  3. 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
  4. J. Chrastina, Formal Calculus of Variations on Fibered Manifolds, Folia UJEP Brno 1989, Mathematica 2. (1989) Zbl0696.49075MR1036730
  5. N. H. Ibragimov, Transformation Groups in Mathematical Physics, (Russian), Moskva, Nauka 1983. (1983) Zbl0529.53014MR0734307
  6. 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
  7. P. J. Olver, Applications of Groups to Differential Equations, Springer-Verlag 1986. (1986) Zbl0588.22001MR0836734
  8. 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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