Affiliation:
1. Department of Mathematics, Faculty of Applied Science King Mongkut's University of Technology North Bangkok, Bangkok 10800, THAILAND
Abstract
The expansion approach has been used to solve the modified nonlinear Burgers' equation, which has a nonlinear convection term, a viscosity term, and a time-dependent term in its structure. In this paper, the main focus is to find exact solutions of the modified nonlinear Burgers' equation. The (G′=G)-expansion method is one of the methods used to find exact solutions of nonlinear problems. It requires an appropriate transform equation to convert partial differential equations to ordinary differential equations, making it easier to find the solution. In this work, we choose the traveling wave equation to covert the equation. The results show that the exact solutions of the modified nonlinear Burgers' equation by the (G′=G)-expansion method are decreasing if traveling wave parameter, ω, increases for the first case and the exact solution is increasing if ω is increasing for the second case. It is observed that (G′=G)-expansion method is an advanced and easy tool for finding exact solutions of the modified nonlinear Burgers' equation.
Publisher
World Scientific and Engineering Academy and Society (WSEAS)
Subject
Artificial Intelligence,General Mathematics,Control and Systems Engineering
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