Affiliation:
1. Kalinga Institute of Industrial Technology, Deemed to be University , Bhubaneswar, Odisha 751024, India
Abstract
Abstract
In this paper, we have studied the new solitary wave solutions of the beta-fractional derivative form of the Peyrard–Bishop DNA model (PB-DNAM). These solutions are responsible for analyzing the nonlinear interaction between the adjacent displacements of the DNA strand. To get these solutions, we have applied the generalized Riccati equation expansion method. Under different parametric conditions and fractional values, the obtained solutions show different wave patterns including w-shape, bright, combined dark-bright, periodic wave solutions, bell shape, m-shape, w-shape along with two bright solutions, and m-shape along with two dark solutions. These physical characteristics are analyzed thoroughly by graphical representations. The solutions show the successful application of the proposed method which will be helpful in finding analytical solutions to other nonlinear problems.
Subject
Applied Mathematics,Mechanical Engineering,Control and Systems Engineering,Applied Mathematics,Mechanical Engineering,Control and Systems Engineering
Reference38 articles.
1. Traveling-Wave Solutions of the Klein–Gordon Equations With M-Fractional Derivative;Pramana-J. Phys.,2022
2. New Travelling Wave and Anti–Kink Wave Solutions of Space–Time Fractional (3 + 1)-Dimensional Jimbo–Miwa Equation;Chin. J. Phys.,2020
3. New Exact Solutions of (2+ 1)-Dimensional vDJKM and (3+ 1)-Dimensional BLMP Equations;Int. J. Appl. Comput. Math,2021
4. Nonisotropic Chaos Induced by Snap–Back Repellers and Heteroclinic Cycles of 3–D Hyperbolic PDEs;Nonlinear Dyn.,2022
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