# Opanasenko S. Generalized symmetries and conservation laws of (1+1)-dimensional Klein-Gordon equation (abstract)

From Geometry of Differential Equations

**Speaker**: Stanislav Opanasenko

**Title**: Generalized symmetries and conservation laws of (1+1)-dimensional Klein-Gordon equation
**Abstract**:

We give an explicit form of the algebra of generalized symmetries of the (1+1)-dimensional Klein--Gordon equation in terms of a quotient subalgebra of the universal enveloping algebra of the essential Lie invariance algebra thereof and use it for computing the space of local conservation laws of this equation.

**Slides**: OpanasenkoTrieste2018slides.pdf

**References**:

arXiv:1810.12434

**Event:** Local and Nonlocal Geometry of PDEs and Integrability, 8-12 October 2018, SISSA, Trieste, Italy.*The conference in honor of Joseph Krasil'shchik's 70th birthday.*