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 Hirota-Satsuma 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.
the rational (G' /G)-expansion method travelling wave solution the combined KdV-mKdV equation the reaction-diffusion equation the coupled Hirota-Satsuma KdV equations
Primary Language | English |
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Subjects | Applied Mathematics |
Journal Section | Research Articles |
Authors | |
Publication Date | March 30, 2022 |
Submission Date | February 20, 2021 |
Acceptance Date | July 29, 2021 |
Published in Issue | Year 2022 Volume: 71 Issue: 1 |
Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics.
This work is licensed under a Creative Commons Attribution 4.0 International License.