Invariant reduction for partial differential equations: conservation laws

Abstract: Among various methods for constructing exact solutions of partial differential equations, the symmetry approach is particularly noteworthy. It turns out that systems describing invariant solutions inherit many invariant geometric structures, even in the case of higher symmetries. In the talk, we will discuss how invariant conservation laws of systems with two independent variables give rise to constants of invariant motion. The procedure involved is algorithmic for systems of evolution equations.

This is joint work with Alexei Cheviakov.

mathematical physicsanalysis of PDEsclassical analysis and ODEsdynamical systemsnumerical analysisexactly solvable and integrable systemsfluid dynamics

Audience: researchers in the topic

Mathematical models and integration methods