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
Birincil Dil | İngilizce |
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Konular | Uygulamalı Matematik |
Bölüm | Research Article |
Yazarlar | |
Yayımlanma Tarihi | 30 Mart 2022 |
Gönderilme Tarihi | 20 Şubat 2021 |
Kabul Tarihi | 29 Temmuz 2021 |
Yayımlandığı Sayı | Yıl 2022 Cilt: 71 Sayı: 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.