Exact solution for sawada–kotera equation using backland transformations and travelling wave solutions


Gharib G. M., ÖZER Ö.

Advances in Mathematics: Scientific Journal, cilt.10, sa.2, ss.923-931, 2021 (Scopus)

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 10 Sayı: 2
  • Basım Tarihi: 2021
  • Doi Numarası: 10.37418/amsj.10.2.21
  • Dergi Adı: Advances in Mathematics: Scientific Journal
  • Derginin Tarandığı İndeksler: Scopus, zbMATH
  • Sayfa Sayıları: ss.923-931
  • Anahtar Kelimeler: Backland transformations, Nonlinear evolution equations, Pseudo-spherical surfaces
  • Kırklareli Üniversitesi Adresli: Evet

Özet

Nonlinear phenomena are very important in a variety of scientific fields. Finding solutions of nonlinear partial differential equations is one of the most difficult problems in mathematics and physics. A precise solution is derived for these non-linear evolution equations (NLEEs), which has been illustrated by the solitary wave solutions for the fifth degree equations, the Sawada-Kotera equation, and then we apply the Backland trans-formation, which shows a new special precise solution.