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Research Article Open access CC BY 4.0

New Exact Traveling Wave Solutions to Burgers Equation

Md. Rashed Kabir, Bimal Kumar Datta, Harun-Or-Roshid .

Journal of Scientific Research and Reports · pp. 1–9 · Published 3 Nov 2018

10.9734/JSRR/2018/13399

Abstract

In this letter, we seek new traveling wave solutions to Burgers equation via a new approach of improved -expansion method. We handle the calculations with the aid of computer software Maple-13. As a result, many periodic and soliton like solutions have been achieved in terms of the hyperbolic functions, trigonometric functions, exp-functions and rational function solutions. The method is very simple for solving nonlinear evolution equations (NLEEs).  Further, both two and three-dimensional plots of the obtained wave solutions are also given to imagine the dynamics of the equation.

Burgers equation new approach of improved (G’ / G)-expansion traveling wave solutions exact solutions

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