Multiwave solutions of fractional 4th and 5th order Burgers equationsMultiwave solutions of fractional 4th and 5th order Burgers equations

Authors : Emad Ab ABDELSALAM, Gamal Fargahly HASSAN

Pages : 227-241

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Publication Date : 0000-00-00

Article Type : Research Paper

Abstract :Fractional 4th and 5th order Burgers equations were studied by improving the generalized Exp-function method. The chief aim here was to discuss single-wave, double-wave, three-wave, and four-wave solutions for the space-time fractional insert ignore into journalissuearticles values(STF);, time-fractional insert ignore into journalissuearticles values(TF);, and space-fractional insert ignore into journalissuearticles values(SF); 4th and 5th order Burgers equations. The arbitrariness of the fractional orders allows much richer structures. It was observed that the wave amplitude of STF and SF Burgers equations is directly proportional to the noninteger derivative order, but the wave amplitude of TF Burgers equations is inversely proportional to the noninteger derivative order. From the graphical study of the obtained solution, a change in the noninteger derivative order value affects soliton behavior in a fundamental way. Therefore, the wave shape can be modified based on the noninteger derivative order without changing the properties of the medium.
Keywords : Exact solution, multiwave solutions, space time fractional fourth order Burgers equation, space time fractional fifth order Burgers equation