Volume 2, Issue 3-4, September 1995, Pages 405 - 415
Non-Lie Symmetries and Supersymmetries
Authors
Anatolii Nikitin
Corresponding Author
Anatolii Nikitin
Available Online 1 September 1995.
- DOI
- 10.2991/jnmp.1995.2.3-4.21How to use a DOI?
- Abstract
Appeared more than one century ago, the classical Lie approach serves as a powerful tool in investigations of symmetries of partial differential equations. In the last three decades there appear essential generalizations of this approach. They are the modern version of the Lie-Bäcklund symmetries [1], the non-Lie approach [24], the conditional symmetry approach [57], etc. I will speak about non-Lie symmetries of equations of mathematical physics. The term "non-Lie symmetries" has appeared in papers of Fushchych [2], the main ideas and basic results of the non-Lie approach are outlined in our books [3, 4].
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- © 2006, the Authors. Published by Atlantis Press.
- Open Access
- This is an open access article distributed under the CC BY-NC license (http://creativecommons.org/licenses/by-nc/4.0/).
Cite this article
TY - JOUR AU - Anatolii Nikitin PY - 1995 DA - 1995/09/01 TI - Non-Lie Symmetries and Supersymmetries JO - Journal of Nonlinear Mathematical Physics SP - 405 EP - 415 VL - 2 IS - 3-4 SN - 1776-0852 UR - https://doi.org/10.2991/jnmp.1995.2.3-4.21 DO - 10.2991/jnmp.1995.2.3-4.21 ID - Nikitin1995 ER -