Symmetry Methods for Differential and Difference Equations

Notes from a lecture series that I gave at the 19th International Summer School on Global Analysis and its Applications, held at Lednice, Czech Republic, 25th-30th August, 2014.

Lecture 1: From symmetries to solutions pdf

Lecture 2: How to find Lie symmetries pdf

Lecture 3: Lie symmetry methods for PDEs and PΔEs pdf

Lecture 4: Conservation laws pdf

Lecture 5: Noether-type theorems pdf