Nonlocal symmetries of evolution equations
Exactly Solvable and Integrable Systems
2009-07-13 v1
Abstract
We suggest the method for group classification of evolution equations admitting nonlocal symmetries which are associated with a given evolution equation possessing nontrivial Lie symmetry. We apply this method to second-order evolution equations in one spatial variable invariant under Lie algebras of the dimension up to three. As a result, we construct the broad families of new nonlinear evolution equations possessing nonlocal symmetries which in principle cannot be obtained within the classical Lie approach.
Cite
@article{arxiv.0907.1798,
title = {Nonlocal symmetries of evolution equations},
author = {Renat Zhdanov},
journal= {arXiv preprint arXiv:0907.1798},
year = {2009}
}
Comments
13 pages, LaTeX