期刊
OCEAN ENGINEERING
卷 161, 期 -, 页码 62-68出版社
PERGAMON-ELSEVIER SCIENCE LTD
DOI: 10.1016/j.oceaneng.2018.04.075
关键词
Fractional Drinfeld-Sokolov-Wilson system; Shallow water waves; Conformable fractional derivative; Perturbation iteration algorithm; Sine -Gordon expansion method
In this paper, we present new exact solution sets of nonlinear conformable time-fractional coupled Drinfeld-Sokolov-Wilson equation which arise in shallow water flow models, when special assumptions are used to simplify the shallow water equations by means of Sine-Gordon expansion method. We also present an analytical approximate method namely perturbation-iteration algorithm (PIA) for the system. Basic definitions of fractional derivatives are described in the conformable sense. An example is given and the results are compared to exact solutions. The results show that the presented methods are powerful, reliable, simple to use and ready to apply to wide range of fractional partial differential equations.
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