On analytic series solutions and conserved fluxes of the time fractional (2+1)-dimensional Burger's system via invariant approach

SAN S., Kumari P., Kumar S.

Waves in Random and Complex Media, 2021 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Basım Tarihi: 2021
  • Doi Numarası: 10.1080/17455030.2021.2005848
  • Dergi Adı: Waves in Random and Complex Media
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Academic Search Premier, Aerospace Database, Communication Abstracts, Compendex, INSPEC, Metadex, zbMATH, Civil Engineering Abstracts
  • Anahtar Kelimeler: Fractional differential equations, lie symmetry analysis, series solutions, conservation laws, coupled Burger system, LIE SYMMETRY ANALYSIS, LAWS, EQUATIONS
  • Eskişehir Osmangazi Üniversitesi Adresli: Evet

Özet

© 2021 Informa UK Limited, trading as Taylor & Francis Group.The article investigates some new properties such as invariant transformations, conserved vectors, and closed-form series solutions of (2+1) dimensional nonlinear coupled Burger system, a model of the evolution of the scaled volume concentration or sedimentation of the two kinds of particles in fluid suspensions of colloids, under the effect of gravity, with fractional temporal evolution by the Lie symmetry method. It is worth noting that the series solutions of (2+1) or higher-dimensional system is not much explored. Moreover, nonlocal conservation laws, one of the important aspects of symmetries, are constructed by the generalized Noether theorem.