Classification of 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, Cadiz, Spain;University of Cadiz, Department of Mathematics, Cadiz, Spain

  • Venue:
  • AMERICAN-MATH'10 Proceedings of the 2010 American conference on Applied 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.