Investigation on the new exact solutions of generalized Rosenau-Kawahara-RLW equation with p-th order nonlinearity occurring in ocean engineering models

TAŞBOZAN O., ÇELİK E., Kurt A., Akinyemi L.

Applied Mathematics, cilt.39, sa.4, ss.642-653, 2024 (SCI-Expanded) identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 39 Sayı: 4
  • Basım Tarihi: 2024
  • Doi Numarası: 10.1007/s11766-024-4631-5
  • Dergi Adı: Applied Mathematics
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, zbMATH
  • Sayfa Sayıları: ss.642-653
  • Anahtar Kelimeler: auxiliary equation method, conformable fractional derivative, shallow water, time-fractional generalized Rosenau-Kawahara-RLW equation
  • Atatürk Üniversitesi Adresli: Evet

Özet

The main objective of this study is to find novel wave solutions for the time-fractional generalized Rosenau-Kawahara-RLW equation, which occurs in unidirectional water wave propagation. The generalized Rosenau-Kawahara-RLW equation comprises three equations Rosenau equation, Kawahara equation, RLW equation and also p-th order nonlinear term. All these equations describe the wave phenomena especially the wave-wave and wave-wall interactions in shallow and narrow channel waters. The auxiliary equation method is employed to get the analytical results.