Article
2024
·
4 citations
Investigation on the new exact solutions of generalized Rosenau-Kawahara-RLW equation with <i>p</i>-th order nonlinearity occurring in ocean engineering models
Abstract
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.
Keywords
time-fractional generalized Rosenau-Kawahara-RLW equation
conformable fractional derivative
auxiliary equation method
shallow water
WAVE SOLUTIONS
SOLITONS
WoS Categories
Mathematics, Applied
Citation
- Journal
- APPLIED MATHEMATICS-A JOURNAL OF CHINESE UNIVERSITIES SERIES B
- Year
- 2024
- Volume
- 39
- Issue
- 4
- Pages
- 642-653
- ISSN
- 1005-1031
- eISSN
- 1993-0445
- DOI
- 10.1007/s11766-024-4631-5
- WoS UID
- WOS:001376935300010