Classical potential symmetries of the K(m, n) equation with generalized evolution term

Authors:
Maria S. Bruzon;Maria L. Gandarias
Affiliations:
University of Cadiz, Department of Mathematics, Puerto Real, Cadiz, Spain;University of Cadiz, Department of Mathematics, Puerto Real, Cadiz, Spain
Venue:
WSEAS Transactions on Mathematics
Year:
2010

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Abstract

We consider a K(m, n) equation with generalized evolution term which is of considerable interest in mathematical physics. We classify the nonlocal symmetries, which are known as potential symmetries, for this equation. It turns out that potential symmetries exist only if the parameters n, m and l satisfy certain relationship.