A new method for exact solutions of variant types of time-fractional Korteweg-de Vries equations in shallow water waves

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• 作者：S. Sahoo and S. Saha Ray
• 刊名：Mathematical Methods in the Applied Sciences
• 出版年：2017
• 出版时间：15 January 2017
• 年：2017
• 卷：40
• 期：1
• 页码：106-114
• 全文大小：549K
• ISSN：1099-1476

文摘

The current article devoted on the new method for finding the exact solutions of some time-fractional Korteweg–de Vries (KdV) type equations appearing in shallow water waves. We employ the new method here for time-fractional equations viz. time-fractional KdV-Burgers and KdV-mKdV equations for finding the exact solutions. We use here the fractional complex transform accompanied by properties of local fractional calculus for reduction of fractional partial differential equations to ordinary differential equations. The obtained results are demonstrated by graphs for the new solutions. Copyright