Nonlocal symmetries of evolution equations

Details Nonlocal symmetries of evolution equations Nonlocal symmetries of evolution equations

2009-07-10

arxiv.org/abs/0907.1798v1

Nonlinear Sciences

Exactly Solvable and Integrable Systems

13 pages, LaTeX

Scientific paper

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.

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