Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics, cilt.71, sa.1, ss.116-132, 2022 (ESCI)
In this paper, we explore the travelling wave solutions for some
nonlinear partial differential equations by using the recently established rational (G′/G)-expansion method. We apply this method to the combined
KdV-mKdV equation, the reaction-diffusion equation and the coupled HirotaSatsuma KdV equations. The travelling wave solutions are expressed by hyperbolic functions, trigonometric functions and rational functions. When the
parameters are taken as special values, the solitary waves are also derived from
the travelling waves. We have also given some figures for the solutions