A new method for exact solutions of variant types of time‐fractional Korteweg‐de Vries equations in shallow water waves. (27th May 2016)

• Record Type: Journal Article
• Authors: Sahoo, S.; Ray, S. Saha
• Is Part Of: Mathematical methods in the applied sciences. Volume 40:Number 1(2017)
• Page Start: 106
• Page End: 114
• Publication Date: 2016-05-27
• Subjects: time‐fractional KdV‐Burgers equation -- time‐fractional KdV‐mKdV equation -- New method -- local fractional calculus -- Fractional complex transform -- subclass 26A33 -- 34A08; Mathematics -- Periodicals; Technology -- Mathematics -- Periodicals; 519
• DOI: 10.1002/mma.3970
• Languages: English
• ISSNs: 0170-4214

Abstract

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.