Seminář z diferenciální geometrie a jejich aplikací: Generalized symmetries and conservation laws of (1+1)-dimensional Klein--Gordon equation (Roman Popovych)

• ustav
• 18.10.2018

Roman Popovych, D.Sc. (University of Vienna, Rakousko) přednese na téma Generalized symmetries and conservation laws of (1+1)-dimensional Klein--Gordon equation

Abstrakt:

We explicitly find the algebra of generalized symmetries of the (1+1)-dimensional Klein--Gordon equation, which allows us to describe this algebra in terms of the universal enveloping algebra of the essential Lie invariance algebra of the Klein--Gordon equation. Then we single out variational symmetries of this equation and compute the space of its local conservation laws.