TY - JOUR
TI - Soliton solutions of (2+1)-dimensional non-linear reaction-diffusion model via Riccati-Bernoulli approach
AU - Albayrak Pinar
JN - Thermal Science
PY - 2022
VL - 26
IS - 102
SP - 811
EP - 821
PT - Article
AB - In this study, soliton solutions of the (2+1)-dimensional reaction-diffusion  equation are investigated by the extended Kudryashov method based on  Riccati-Bernoulli approach. Firstly, we obtained the non-linear ordinary  differential form of the (2+1)-dimensional non-linear reaction-diffusion  equation by implementing the wave transformation. Then, the extended  Kudryashov method has been presented and applied to the non-linear ordinary  differential form. By applying the extended Kudryashov method the  polynomial form has been gained, solution sets have been obtained and  soliton solutions have been formed by taking the appropriate sets. Finally,  some graphical representations of the gained results for instance bright,  dark, kink and singular solutions are presented and commented. Within the  scope of the article, the study on investigating the soliton solutions of  the (2+1)-dimensional non-linear reaction-diffusion equation via the  extended Kudryashov approach has not been studied and the obtained results  have not been reported.