文章基本信息

标题：On abundant new solutions of two fractional complex models
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作者：Mostafa M. A. Khater ; Dumitru Baleanu
期刊名称：Advances in Difference Equations
印刷版ISSN：1687-1839
电子版ISSN：1687-1847
出版年度：2020
卷号：2020
期号：1
页码：1-14
DOI：10.1186/s13662-020-02705-x
出版社：Hindawi Publishing Corporation
摘要：We use an analytical scheme to construct distinct novel solutions of two well-known fractional complex models (the fractional Korteweg–de Vries equation (KdV) equation and the fractional Zakharov–Kuznetsov–Benjamin–Bona–Mahony (ZKBBM) equation). A new fractional definition is used to covert the fractional formula of these equations into integer-order ordinary differential equations. We obtain solitons, rational functions, the trigonometric functions, the hyperbolic functions, and many other explicit wave solutions. We illustrate physical explanations of these solutions by different types of sketches.
关键词：Fractional Korteweg–de Vries (KdV) equation; Fractional Zakharov–Kuznetsov–Benjamin–Bona–Mahony (ZKBBM) equation; ABR fractional operator; Modified Khater (mK) method