Equivalence classes and symmetries of the variable coefficient Kadomtsev-Petviashvili equation

Gungor F., Winternitz P.

NONLINEAR DYNAMICS, cilt.35, sa.4, ss.381-396, 2004 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 35 Sayı: 4
  • Basım Tarihi: 2004
  • Doi Numarası: 10.1023/b:nody.0000027746.31782.6e
  • Dergi Adı: NONLINEAR DYNAMICS
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.381-396
  • İstanbul Teknik Üniversitesi Adresli: Hayır

Özet

We classify the variable coefficient Kadomtsev-Petviashvili (VCKP) equation into equivalence classes under the group of local point transformations, leaving the equation form invariant but changing the coefficient functions. We list the representatives of all equivalence classes with the corresponding transformations. Then, we obtain the symmetry group of the VCKP equation and in particular discuss how to use these transformations to classify low-dimensional symmetry algebras in the generic case. We conclude with a discussion of the implications of the present article.