A view of solitary wave solutions to the fractional DNA Peyrard-Bishop equation via a new approach


Özkan A.

PHYSICA SCRIPTA, vol.99, no.5, pp.1-16, 2024 (SCI-Expanded, Scopus) identifier identifier

  • Publication Type: Article / Article
  • Volume: 99 Issue: 5
  • Publication Date: 2024
  • Doi Number: 10.1088/1402-4896/ad3e32
  • Journal Name: PHYSICA SCRIPTA
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Aerospace Database, Chemical Abstracts Core, Compendex, INSPEC, zbMATH
  • Page Numbers: pp.1-16
  • Yıldız Technical University Affiliated: Yes

Abstract

Abstract In this study, the fractional impacts of the beta derivative and Mtruncated derivative are examined on the DNA Peyrard-Bishop dynamic model equation. To obtain solitary wave solutions for the model, the Sardar sub-equation approach was utilized. For a stronger comprehension of the model, the acquired solutions are graphically illustrated together with the fractional impacts of the beta and
M-truncated derivatives. In addition to being simple and not needing any complicated computations, the approach has the benefit of getting accurate results.