TY - JOUR

T1 - On symmetries of the heat equation

AU - Romanovsky, Yu R.

PY - 1989/1

Y1 - 1989/1

N2 - Two aims are pursued in this article. The first one is methodological and consists of demonstrating the symmetry calculation techniques based on the commutation relation on the example of the quasi-linear heat equation. The second one consists of investigating the following open question: is the algebra of higher symmetries of the linear heat equation exhausted by those which may be obtained by means of the classical symmetries and well-known recursion operators? A positive solution of this question is given.

AB - Two aims are pursued in this article. The first one is methodological and consists of demonstrating the symmetry calculation techniques based on the commutation relation on the example of the quasi-linear heat equation. The second one consists of investigating the following open question: is the algebra of higher symmetries of the linear heat equation exhausted by those which may be obtained by means of the classical symmetries and well-known recursion operators? A positive solution of this question is given.

KW - AMS subject classification (1988): 35K05

KW - conservation laws

KW - local symmetries

KW - Quasi-linear heat equation

UR - http://www.scopus.com/inward/record.url?scp=34248395767&partnerID=8YFLogxK

U2 - 10.1007/BF00131934

DO - 10.1007/BF00131934

M3 - Article

AN - SCOPUS:34248395767

VL - 15

SP - 149

EP - 160

JO - Acta Applicandae Mathematicae

JF - Acta Applicandae Mathematicae

SN - 0167-8019

IS - 1-2

ER -