Group Classification of the General Evolution Equation: Local and Quasilocal Symmetries

• Published in: Symmetry, Integrability and Geometry: Methods and Applications
• Date: 2005
• Main Authors: Zhdanov, R., Lahno, V.
• Format: Article
• Language: English
• Published: Інститут математики НАН України 2005
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/209351
• Journal Title: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Cite this: Group Classification of the General Evolution Equation: Local and Quasilocal Symmetries / R. Zhdanov, V. Lahno // Symmetry, Integrability and Geometry: Methods and Applications. — 2005. — Т. 1. — Бібліогр.: 28 назв. — англ.

We give a review of our recent results on group classification of the most general nonlinear evolution equation in one spatial variable. The method applied relies heavily on the results of our paper, Acta Appl. Math., 69, 2001, in which we obtain the complete solution of the group classification pro...