Nonlocal Symmetries of Systems of Evolution Equations

Renat Zhdanov
2011 Advances in Mathematical Physics  
We prove that any potential symmetry of a system of evolution equations reduces to a Lie symmetry through a nonlocal transformation of variables. This fact is in the core of our approach to computation of potential and more general nonlocal symmetries of systems of evolution equations having nontrivial Lie symmetry. Several examples are considered.
doi:10.1155/2011/456784 fatcat:7lh4pq65f5fehiqwjvs3c5iuki