Hyperbolic octonion formulation of the fluid Maxwell equations

DEMİR S., TANIŞLI M.

JOURNAL OF THE KOREAN PHYSICAL SOCIETY, vol.68, no.5, pp.616-623, 2016 (SCI-Expanded) identifier identifier

  • Publication Type: Article / Article
  • Volume: 68 Issue: 5
  • Publication Date: 2016
  • Doi Number: 10.3938/jkps.68.616
  • Journal Name: JOURNAL OF THE KOREAN PHYSICAL SOCIETY
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Page Numbers: pp.616-623
  • Keywords: Octonion, Maxwell equations, Fluid mechanics, QUATERNIONS
  • Anadolu University Affiliated: Yes

Abstract

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.