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

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.

A view of optical soliton solution of the coupled Schrödinger equation with a different approach

“…Various methods have been used to find exact solutions of transformed ordinary differential equations (ODE). Some of these methods are; Sub-equation method [9,10], Sardar sub-equation method [11,12], Improved Subequation Method [13], F-Expansion Method [14], Extended ¢ G G Method [15][16][17][18],…”