Journal of Soviet Mathematics

, Volume 55, Issue 1, pp 1401–1450

Nonlocal symmetries. Heuristic approach

  • I. Sh. Akhatov
  • R. K. Gazizov
  • N. Kh. Ibragimov

DOI: 10.1007/BF01097533

Cite this article as:
Akhatov, I.S., Gazizov, R.K. & Ibragimov, N.K. J Math Sci (1991) 55: 1401. doi:10.1007/BF01097533


A constructive method for constructing nonlocal symmetries of differential equations based on the Lie—Bäcklund theory of groups is developed. The concept of quasilocal symmetries is introduced. With the help of this method nonlocal symmetries of differential equations of the type of nonlinear thermal conductivity and gas dynamics are studied.

Copyright information

© Plenum Publishing Corporation 1991

Authors and Affiliations

  • I. Sh. Akhatov
  • R. K. Gazizov
  • N. Kh. Ibragimov

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