New Exact Traveling Wave Solutions to Burgers Equation
Md. Rashed Kabir *
Department of Mathematics, Pabna University of Science and Technology, Bangladesh.
Bimal Kumar Datta
Department of Mathematics, Pabna University of Science and Technology, Bangladesh.
Harun-Or-Roshid .
Department of Mathematics, Pabna University of Science and Technology, Bangladesh.
*Author to whom correspondence should be addressed.
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.
Keywords: Burgers equation, new approach of improved (G’ / G)-expansion, traveling wave solutions, exact solutions