Nonlinear Sciences – Exactly Solvable and Integrable Systems
Scientific paper
2009-06-16
Nonlinear Sciences
Exactly Solvable and Integrable Systems
LaTeX, 15 pages
Scientific paper
We prove that any potential symmetry of a system of evolution equations reduces to a Lie symmetry through a nonlocal transformation of variables. Based on this fact is our method of group classification of potential symmetries of systems of evolution equations having non-trivial Lie symmetry. Next, we modify the above method to generate more general nonlocal symmetries, which yields a purely algebraic approach to classifying nonlocal symmetries of evolution type systems. Several examples are considered.
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