SOLITON SOLUTIONS OF (2+1)-DIMENSIONAL NON-LINEAR REACTION-DIFFUSION MODEL VIA RICCATI-BERNOULLI APPROACH


ALBAYRAK P.

Thermal Science, vol.26, no.SpecialIssue2, 2022 (SCI-Expanded) identifier identifier

  • Publication Type: Article / Article
  • Volume: 26 Issue: SpecialIssue2
  • Publication Date: 2022
  • Doi Number: 10.2298/tsci22s2811a
  • Journal Name: Thermal Science
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Academic Search Premier, Directory of Open Access Journals
  • Keywords: wave transform, the extended Kudryashov method, kink soliton, traveling wave solution
  • Yıldız Technical University Affiliated: Yes

Abstract

© 2022 Society of Thermal Engineers of Serbia.In this study, soliton solutions of the (2+1)-dimensional reaction-diffusion equa-tion 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 imple-menting the wave transformation. Then, the extended Kudryashov method has been presented and applied to the non-linear ordinary differential form. By ap-plying the extended Kudryashov method the polynomial form has been gained, solution sets have been obtained and soliton solutions have been formed by tak-ing 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.