Multiwave and interaction solutions and Lie symmetry analysis to a new (2 + 1)-dimensional Sakovich equation

SAĞLAM ÖZKAN Y., YAŞAR E.

Alexandria Engineering Journal, cilt.59, ss.5285-5293, 2020 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 59
  • Basım Tarihi: 2020
  • Doi Numarası: 10.1016/j.aej.2020.10.014
  • Dergi Adı: Alexandria Engineering Journal
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Compendex, INSPEC, Directory of Open Access Journals
  • Sayfa Sayıları: ss.5285-5293
  • Anahtar Kelimeler: Solitons, Sakovich equation, logarithmic transformation, SOLITARY WAVE SOLUTIONS, DE-VRIES EQUATION, INVARIANT SOLUTIONS, KDV EQUATION, ROGUE WAVES, LUMP, BREATHER
  • Bursa Uludağ Üniversitesi Adresli: Evet

Özet

© 2020 Faculty of Engineering, Alexandria UniversityIn this study, we construct multi wave solutions for the (2 + 1)-dimensional Sakovich equation by utilizing the logarithmic transformation of the dependent variables and symbolic computation with the ansatz function technique. We used three different method including multi waves method, double exponential form and homoclinic breather approach. 3D graphics of the solutions in different structures are drawn for some values for the parameters. Furthermore, the Lie symmetry analysis is performed for the (2 + 1)-dimensional Sakovich equation. Using the Lie symmetry groups approach, we construct the transformation groups and vector fields. We obtain the symmetry reductions and invariant solutions of the equation via these vector fields.