Hyperbolic octonion formulation of the fluid Maxwell equations


DEMİR S., TANIŞLI M.

JOURNAL OF THE KOREAN PHYSICAL SOCIETY, cilt.68, sa.5, ss.616-623, 2016 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 68 Sayı: 5
  • Basım Tarihi: 2016
  • Doi Numarası: 10.3938/jkps.68.616
  • Dergi Adı: JOURNAL OF THE KOREAN PHYSICAL SOCIETY
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.616-623
  • Anahtar Kelimeler: Octonion, Maxwell equations, Fluid mechanics, QUATERNIONS
  • Anadolu Üniversitesi Adresli: Evet

Özet

The equations of compressible ideal fluids analogous to those of electromagnetism are reformulated in terms of hyperbolic octonions. Furthermore, the wave equations with source terms are generalized in a compact and elegant form. The analogy between fluid mechanics and electromagnetism is also argued by considering the previous octonionic formulations in relevant literature.