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Title: From elementary algebra to Bäcklund transformations (English)
Author: Chrastina, Jan
Language: English
Journal: Czechoslovak Mathematical Journal
ISSN: 0011-4642 (print)
ISSN: 1572-9141 (online)
Volume: 40
Issue: 2
Year: 1990
Pages: 239-257
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Category: math
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MSC: 58A17
MSC: 58G37
idZBL: Zbl 0726.58041
idMR: MR1046292
DOI: 10.21136/CMJ.1990.102378
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Date available: 2008-06-09T15:32:40Z
Last updated: 2020-07-28
Stable URL: http://hdl.handle.net/10338.dmlcz/102378
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Reference: [1] R. L. Anderson N. H. Ibragimov: Lie-Bäcklund Transformations in Applications.SIAM Philadelphia 1979. MR 0520395
Reference: [2] M. J. Ablowitz M. Segur: Solitons and the Inverse Scattering Transform.SIAM Philadelphia 1981 (Russian transl. Moskva 1987). MR 0642018
Reference: [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). Zbl 0638.35008
Reference: [4] J. Chrastina: Formal Calculus of Variations on Fibered Manifolds.Folia UJEP Brno 1989, Mathematica 2. Zbl 0696.49075, MR 1036730
Reference: [5] N. H. Ibragimov: Transformation Groups in Mathematical Physics.(Russian), Moskva, Nauka 1983. Zbl 0529.53014, MR 0734307
Reference: [6] Ju. I. Manin: Algebraic aspects of nonlinear differential equations.(Russian), Itogi Nauki i Techniki VINITI Ser. Sovrem. Problemy matematiki 11 (1978), 5-152. MR 0501136
Reference: [7] P. J. Olver: Applications of Groups to Differential Equations.Springer-Verlag 1986. MR 0836734
Reference: [8] V. V. Sokolov: On the symmetries of evolutional equations.(Russian), Uspěchi matem. nauk 43, vyp. 5 (263) 1988, 133-163. MR 0971467
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