RENORMALIZATION GROUP SYMMETRY AND SOPHUS LIE GROUP ANALYSIS
1995 ◽
Vol 06
(04)
◽
pp. 503-512
◽
Keyword(s):
The Self
◽
We start with a short discussion of the content of a term Renormalisation Group in modern use. By treating the underlying solution property as a reparametrisation symmetry, we relate it with the self-similarity symmetry well-known in mathematical physics and explain the notion of Functional Self-similarity. Then we formulate a program of constructing a regular approach for discovering RG-type symmetries in different problems of mathematical physics. This approach based upon S. Lie group analysis allows one to analyse a wide class of boundary problems for different type of equations. Several examples are mentioned.
2018 ◽
Vol 9
(1)
◽
pp. 47-68
◽
Keyword(s):
2008 ◽
Vol 22
(9)
◽
pp. 1779-1784
◽
Keyword(s):
2013 ◽
Vol 15
(2)
◽
pp. 267-274
◽
Keyword(s):
2011 ◽
Vol 5
(1)
◽
pp. 20-31
◽
Keyword(s):
2013 ◽
Vol 54
(7)
◽
pp. 072901
◽
Keyword(s):
2015 ◽
Vol 9
◽
pp. 2303-2318