A new method for exact solutions of variant types of time‐fractional Korteweg‐de Vries equations in shallow water waves |
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Authors: | S. Sahoo S. Saha Ray |
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Affiliation: | Department of Mathematics, National Institute of Technology, Rourkela, India |
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Abstract: | 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 © 2016 John Wiley & Sons, Ltd. |
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Keywords: | time‐fractional KdV‐Burgers equation time‐fractional KdV‐mKdV equation New method local fractional calculus Fractional complex transform subclass 26A33 34A08 |
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