Evolution equations possessing infinitely many symmetries
Abstract
A general method for finding evolution equations having infinitely many symmetries or flows which preserve them is described. This is applied to the Korteweg–de Vries, modified Korteweg–de Vries, Burgers', and sine–Gordon equations.
- Publication:
-
Journal of Mathematical Physics
- Pub Date:
- June 1977
- DOI:
- 10.1063/1.523393
- Bibcode:
- 1977JMP....18.1212O
- Keywords:
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- 11.30.-j;
- Symmetry and conservation laws