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

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.

Dergi

APPLIED MATHEMATICS-A JOURNAL OF CHINESE UNIVERSITIES SERIES B

Yıl

2024

Cilt

39

Sayı

4

Sayfa

642-653

ISSN

1005-1031

eISSN

1993-0445

DOI

10.1007/s11766-024-4631-5

WoS UID

WOS:001376935300010