On mu-symmetries, mu-reductions, and mu-conservation laws of Gardner equation


Orhan Ö. , Özer T.

JOURNAL OF NONLINEAR MATHEMATICAL PHYSICS, cilt.26, ss.69-90, 2019 (SCI İndekslerine Giren Dergi) identifier identifier

  • Cilt numarası: 26 Konu: 1
  • Basım Tarihi: 2019
  • Doi Numarası: 10.1080/14029251.2019.1544789
  • Dergi Adı: JOURNAL OF NONLINEAR MATHEMATICAL PHYSICS
  • Sayfa Sayıları: ss.69-90

Özet

In this study, we represent an application of the geometrical characterization of mu-prolongations of vector fields to the nonlinear partial differential Gardner equation with variable coefficients. First, mu-symmetries and the corresponding mu-symmetry classification are investigated and then mu-reduction forms of the equations are obtained. Furthermore, mu-invariant solutions are determined and mu-conservation laws of Gardner equation are studied.