Lie point symmetries of difference equations for the nonlinear sine-Gordon equation

Yıldırım Ö., Caglak S.

PHYSICA SCRIPTA, cilt.94, 2019 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 94
  • Basım Tarihi: 2019
  • Doi Numarası: 10.1088/1402-4896/ab1180
  • Dergi Adı: PHYSICA SCRIPTA
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Yıldız Teknik Üniversitesi Adresli: Evet

Özet

A procedure for obtaining the Lie point symmetries of a difference scheme for a nonlinear sine-Gordan equation is presented. The invariant discretization of the first order of accuracy difference scheme for the equation is concerned. The symmetry transformations act both on the difference scheme and lattices, and leave the solution set of the difference scheme invariant.