On group classification of evolution equations admitting non-local symmetries

Autor:	Zhdanov, Renat
Rok vydání:	2009
Předmět:	Nonlinear Sciences - Exactly Solvable and Integrable Systems Nonlinear Sciences - Pattern Formation and Solitons
Druh dokumentu:	Working Paper
Popis:	We prove that any evolution equation admitting a potential symmetry can always be reduced to another evolution equation such that the potential symmetry in question maps into the group of its contact symmetries. Based on this fact is out group approach to classification of evolution equations possessing non-local symmetries. We present several examples of classifications of second-order evolution equations admitting potential symmetries. Comment: 13 pages, LaTeX
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/0901.3175 Zobrazit plný text záznamu View this record from Arxiv