Journal
MATHEMATICAL METHODS IN THE APPLIED SCIENCES
Volume 40, Issue 12, Pages 4350-4363Publisher
WILEY
DOI: 10.1002/mma.4309
Keywords
the G '/G-expansion method; variants of the KdV-Burger; K(n,n)-Burger equations; solitary wave and periodic wave solutions; exact traveling wave solutions
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An application of the G'/G-expansion method to search for exact solutions of nonlinear partial differential equations is analyzed. This method is used for variants of the Korteweg-de Vries-Burger and the K(n,n)-Burger equations. The generalized G'/G-expansion method was used to construct periodic wave and solitary wave solutions of nonlinear evolution equations. This method is developed for searching exact traveling wave solutions of nonlinear partial differential equations. It is shown that the generalized G'/G-expansion method, with the help of symbolic computation, provides a straightforward and powerfulmathematical tool for solving nonlinear problems. Copyright (C) 2017 John Wiley & Sons, Ltd.
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