Computational method to solve Davey-Stewartson model and Maccari’s system

ESEN H., ÖZDEMİR N., SEÇER A., BAYRAM M.

Sigma Journal of Engineering and Natural Sciences, cilt.42, sa.6, ss.1847-1855, 2024 (ESCI) identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 42 Sayı: 6
  • Basım Tarihi: 2024
  • Doi Numarası: 10.14744/sigma.2024.00141
  • Dergi Adı: Sigma Journal of Engineering and Natural Sciences
  • Derginin Tarandığı İndeksler: Emerging Sources Citation Index (ESCI), Scopus, Academic Search Premier, Directory of Open Access Journals
  • Sayfa Sayıları: ss.1847-1855
  • Anahtar Kelimeler: Computer Algebra Systems, Davey-Stewartson Equation, Maccari’s System, Riccati-Bernoulli Sub-ODE Method
  • İstanbul Gelişim Üniversitesi Adresli: Hayır

Özet

In this article, Computer algebra systems and the Riccati-Bernoulli sub-ODE method are efficiently utilized to solve Davey-Stewartson and Maccari’s systems. We successfully obtained the set of new exact solutions for these systems using the computer algebra MAPLE system. For the validity of acquired solutions, the constraint conditions are given. To investigate the behavior of these solutions, graphical representations of the derived solutions are provided under suitable parameter values.