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

TAŞBOZAN, ORKUN; Celik, Ercan; Kurt, Ali; Akinyemi, Lanre

doi:10.1007/s11766-024-4631-5

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

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

APPLIED MATHEMATICS-A JOURNAL OF CHINESE UNIVERSITIES SERIES B, cilt.39, sa.4, ss.642-653, 2024 (SCI-Expanded, Scopus)

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-A JOURNAL OF CHINESE UNIVERSITIES SERIES B
Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, zbMATH
Sayfa Sayıları: ss.642-653
Hatay Mustafa Kemal 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.