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

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外文摘要：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 prop-agation.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.

外文关键词：

time-fractional generalized Rosenau-Kawahara-RLW equationconformable fractional derivativeauxiliary equation methodshallow water

作者：

Orkun Tasbozan、Ercan Celik、Ali Kurt、Lanre Akinyemi

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作者单位：

Department of Mathematics,Faculty of Science and Art,Hatay Mustafa Kemal University,Hatay,Turkey

Department of Mathematics,Faculty of Science,Ataturk University,Erzurum,Turkey

Department of Applied Mathematics and Informatics,Kyrgyz-Turkish Manas University,Bishkek,Kyrgyzstan

Department of Mathematics,Faculty of Science,Pamukkale University,Denizli,Turkey

Department of Mathematics,Lafayette College,Easton,Pennsylvania,USA

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出版年：

2024

DOI：

10.1007/s11766-024-4631-5

高校应用数学学报B辑(英文版)

浙江大学中国工业与应用数学学会

高校应用数学学报B辑(英文版)

影响因子：0.146

ISSN：1005-1031

年,卷(期)：2024.39(4)