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

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Atıf İçin Kopyala

Orhan Ö., Özer T.

JOURNAL OF NONLINEAR MATHEMATICAL PHYSICS, cilt.26, sa.1, ss.69-90, 2019 (SCI-Expanded)

• Yayın Türü: Makale / Tam Makale
• Cilt numarası: 26 Sayı: 1
• Basım Tarihi: 2019
• Doi Numarası: 10.1080/14029251.2019.1544789
• Dergi Adı: JOURNAL OF NONLINEAR MATHEMATICAL PHYSICS
• Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
• Sayfa Sayıları: ss.69-90
• İstanbul Teknik Üniversitesi Adresli: Evet

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.